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Slavnov Andrei Alekseevich

Total publications: 189 (173)
in MathSciNet: 100 (95)
in zbMATH: 44 (42)
in Web of Science: 95 (85)
in Scopus: 104 (104)
Cited articles: 127
Citations in Math-Net.Ru: 422
Citations in MathSciNet (by Sep 2017): 298
Citations in Web of Science: 627
Citations in Scopus: 1918
Presentations: 12

Number of views:
This page:5554
Abstract pages:16566
Full texts:5051
References:1543
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1965)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 22.12.1939
Phone: +7 (495) 984 81 46
Fax: +7 (499) 135 05 55
E-mail:
Keywords: Gauge fields, renormalization, nonperturbative methods.
UDC: 530.1, 530.145.1

Subject:

Quantum field theory, mathematical physics.

   
Main publications:
  1. A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 , 240 pp.  mathscinet
  2. A. A. Slavnov, “Ward identities in gauge theories”, Theoret. and Math. Phys., 10:2 (1972), 99–104  mathnet  crossref  adsnasa  scopus

http://www.mathnet.ru/eng/person18029
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:slavnov.andrei-a
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http://www.researcherid.com/rid/Q-4510-2016
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Full list of publications:
| by years | by types | by times cited | scientific publications | common list |


1. A. A. Slavnov, TMF (to appear)  mathnet
2. A. A. Slavnov, TMF (to appear)  mathnet

   2017
3. A. A. Slavnov, “60 years to gauge fields”, Particle Physics at the Year of Light, Proceedings of Seventeenh Lomonosov Conference on Elementary Particles (Moscow, 20-26 August), eds. A. I. Studenikin, World Scientific, Singapore, 2017, 435–442  crossref
4. A. A. Slavnov, “A possibility to describe models of massive non-Abelian gauge fields in the framework of a renormalizable theory”, Theoret. and Math. Phys., 193:3 (2017), 1826–1833  mathnet  crossref  crossref

   2016
5. A. A. Slavnov, “Nonperturbative quantization of models of massive non-Abelian gauge fields with spontaneously broken symmetry”, Theoret. and Math. Phys., 189:2 (2016), 1645–1650  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)

   2015
6. A. A. Slavnov, “Soliton solutions of classical equations of motions in the modified formulation of the Yang–Mills theory”, Theoret. and Math. Phys., 184:3 (2015), 1342–1349  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus (cited: 1)
7. A. A. Slavnov, “New approach to the quantization of the Yang–Mills field”, Theoret. and Math. Phys., 183:2 (2015), 585–596  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)
8. A. A. Slavnov, “Quantization of Non-Abelian Gauge Fields”, Proc. Steklov Inst. Math., 289 (2015), 286–290  mathnet  crossref  crossref  isi  elib  elib  scopus

   2014
9. A. A. Slavnov, Solitons in modified Yang-Mills theory, 2014 , 9 pp., arXiv: 1406.7724
10. A. A. Slavnov, “Nonabelian gauge fields beyond perturbation theory”, APC (St. Petersburg, Russia, 1–4 October, 2013), AIP Conf. Proc., 1606, eds. A. A. Andrianov, V. A. Andrianov, Steklov Mathematical Institute, 2014, 346–352 , arXiv: 1310.8164  mathnet  crossref  crossref  adsnasa  isi
11. A. A. Slavnov, “Quantization of non-Abelian gauge fields beyond the perturbation theory framework”, Theoret. and Math. Phys., 181:1 (2014), 1302–1306  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2013
12. A. A. Slavnov, “Decoupling of the longitudinal polarization of the vector field in the massless Higgs–Kibble model”, Theoret. and Math. Phys., 174:2 (2013), 284–287  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib  scopus (cited: 3)
13. A. A. Slavnov, “The Yang–Mills theory as a massless limit of a massive gauge-invariant model”, Theoret. and Math. Phys., 175:1 (2013), 447–453  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
14. A. A. Slavnov, “Gauge invariant infrared regularization of the Yang-Mills theory, applicable beyond perturbation theory”, New trends in high energy physics, Proceedings of the Conference (Alushta (Crimea), September 23–29, 2013), eds. L. Jenkovszky, D. Savchenko, G. Stelmakh, National Academy of Sciences of Ukraine, BITP, BITP, Kiev, 2013, 239–247

   2012
15. A. A. Slavnov, “The study of ambiguity in non-Abelian gauge theories”, Theoret. and Math. Phys., 170:2 (2012), 198–202  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   2011
16. A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory without Gribov ambiguity”, Proc. Steklov Inst. Math., 272 (2011), 235–245  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
17. A. A. Slavnov, “New formulation of electro-weak models applicable beyong perturbation theory”, New trends in high energy physics, Proceedings of the Conference held in Alushta (Crimea) on September 3–10, 2011, BITP, Kiev, 2011, 335–343
18. A. Quadri, A. A. Slavnov, “Ambiguity-free formulation of the Higgs–Kibble model”, Theoret. and Math. Phys., 166:3 (2011), 291–302  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)

   2010
19. A. Quadri, A. A. Slavnov, “Renormalization of the Yang-Mills theory in the ambiguity-free gauge”, J. High Energy Phys., 2010, no. 7, 087 , 22 pp.  crossref  mathscinet (cited: 4)  adsnasa  isi (cited: 4)  scopus (cited: 11)
20. A. A. Slavnov, “Slavnov–Taylor identities”, Int. J. Mod. Phys., 25:5 (2010), 903–907  crossref  mathscinet (cited: 77)  zmath  adsnasa  isi  elib  scopus

   2009
21. A. A. Slavnov, Lorentz invariant quantization of the Yang–Mills theory free of Gribov ambiguity, 2009 , 8 pp., arXiv: 0902.1847  adsnasa
22. A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory free of the Gribov ambiguity”, Theoret. and Math. Phys., 161:2 (2009), 1497–1502  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 10)

   2008
23. A. A. Slavnov, “A Lorentz invariant formulation of the Yang–Mills theory with gauge invariant ghost field Lagrangian”, J. High Energy Phys., 2008, no. 8, 047 , 11 pp.  crossref  mathscinet (cited: 2)  isi (cited: 5)  scopus (cited: 6)
24. A. A. Slavnov, “Path integral inspired gauge invariant infrared regularization”, Path integrals, World Sci. Publ., Hackensack, NJ, 2008, 146–151  crossref  mathscinet  zmath  isi
25. D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys., 155:2 (2008), 708–714  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
26. A. A. Slavnov, “Local gauge-invariant infrared regularization of Yang–Mills theory”, Theoret. and Math. Phys., 154:2 (2008), 178–183  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 6)

   2006
27. R. N. Baranov, D. V. Bykov, A. A. Slavnov, “The condensate $\langle\operatorname{tr}(A_\mu^2)\rangle$ in commutative and noncommutative theories”, Theoret. and Math. Phys., 148:3 (2006), 1168–1173  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
28. A. A. Slavnov, “Higgs mechanism as a collective effect due to an extra dimension”, Theoret. and Math. Phys., 148:3 (2006), 1159–1167  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 8)
29. V. G. Bornyakov, M. N. Chernodub, Y. Mori, S. M. Morozov, Y. Nakamura, M. I. Polikarpov, G. Schierholz, A. A. Slavnov, H. Stueben, T. Suzuki, “Critical temperature in QCD with two flavours of dynamical quarks”, PoS, LAT2005 (2006), 157–163

   2005
30. A. A. Slavnov, “Hierarchy of massive gauge fields”, Phys. Lett. B, 620:1-2 (2005), 97–103  crossref  mathscinet  adsnasa  isi (cited: 8)  elib (cited: 10)  scopus (cited: 10)
31. A. A. Slavnov, “Noncommutative gauge theories and gauge invariance of dimension two condensate in Yang–Mills theory”, Phys. Lett. B, 608:1-2 (2005), 171–176  crossref  mathscinet  adsnasa  isi (cited: 9)  elib (cited: 10)  scopus (cited: 10)
32. D. V. Bykov, A. A. Slavnov, “Dimension-Two Vacuum Condensates in Gauge-Invariant Theories”, Theoret. and Math. Phys., 145:2 (2005), 1495–1503  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
33. A. A. Slavnov, “Gauge invariance of the dimension-two condensate in the Yang–Mills theory”, Theoret. and Math. Phys., 143:1 (2005), 489–493  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib
34. V. G. Bornyakov, M. N. Chernodub, H. Ichie, Y. Koma, Y. Mori, Y. Nakamura, M. I. Polikarpov, G. Schierholz, A. A. Slavnov, H. Stüben, T. Suzuki, P. V. Uvarov, A. I. Veselov, “Finite temperature QCD with two flavours of non–perturbatively improved fermions”, Phys. Rev. D, 71 (2005), 114504 , 14 pp.  crossref  adsnasa  isi (cited: 17)  scopus (cited: 10)
35. Y. Nakamura, V. G. Bornyakov, M. N. Chernodub, Y. Mori, S. M. Morozov, M. I. Polikarpov, G. Schierholz, A. A. Slavnov, H. Stüben, T. Suzuki, “Finite temperature QCD with two flavours of dynamical quarks on $24^3\times 10$ lattice”, Nucl. Phys. B, 140, Proc. Suppl. (2005), 535–537  crossref  isi  elib  scopus (cited: 1)

   2004
36. A. A. Slavnov, “Gauge-Invariant $U(1)$ Model in the Axial Gauge on the Noncommutative Plane”, Theoret. and Math. Phys., 140:3 (2004), 1222–1228  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 7)  scopus (cited: 3)
37. A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory”, Theoret. and Math. Phys., 139:2 (2004), 599–608  mathnet  crossref  crossref  zmath  adsnasa  isi (cited: 12)  elib (cited: 16)  scopus (cited: 13)

   2003
38. A. A. Slavnov, “Progress in study of renormalization of theories with nontrivial internal symmetry”, Ann. Henri Poincaré, 4, suppl. 1 (2003), S247–S258  crossref  mathscinet  zmath  isi
39. A. A. Slavnov, “Consistent non-commutative quantum gauge theories?”, Phys. Lett. B, 565:1-4 (2003), 246–252  crossref  mathscinet (cited: 4)  zmath  adsnasa  isi (cited: 16)  elib (cited: 18)  scopus (cited: 18)
40. A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for Supersymmetric Theories”, Theoret. and Math. Phys., 135:2 (2003), 673–684  mathnet  crossref  crossref  zmath  isi (cited: 18)  elib (cited: 20)  scopus (cited: 16)
41. V. Bornyakov, Y. Nakamura, M. Chernodub, Y. Koma, Y. Mori, M. Polikarpov, G. Schierholz, A. Slavnov, H. Stuben, T. Suzuki, P. Uvarov, A. Veselov, “Thermodynamics and heavy quark potential in $N=2$ dynamical QCD”, Nucl. Phys. B, 119, Proc. Suppl. (2003), 703–708  crossref  zmath  isi (cited: 9)  elib (cited: 9)  scopus (cited: 9)
42. A. A. Slavnov, “Simmetrii i perenormirovka”, EChAYa, 34:7 (2003), 4–29

   2002
43. A. A. Slavnov, “Renormalization by enforcing a symmetry”, Multiple facets of quantization and supersymmetry, World Sci. Publ., River Edge, NJ, 2002, 654–669  crossref  mathscinet (cited: 4)  zmath
44. A. A. Slavnov, “Regularization-Independent Gauge-Invariant Renormalization of the Yang–Mills Theory”, Theoret. and Math. Phys., 130:1 (2002), 1–10  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 16)  elib (cited: 18)  scopus (cited: 13)

   2001
45. A. A. Slavnov, “Bosonized formulation of field theories”, Quantization, gauge theory, and strings (Moscow, 2000), v. II, Sci. World, Moscow, 2001, 246–254  mathscinet  zmath
46. A. A. Slavnov, “Regularization independent renormalization for theories with nontrivial internal symmetry”, New trends in high energy physics, Kiev, 2001, 273–282
47. A. A. Slavnov, “Universal gauge invariant renormalization”, Phys. Lett. B, 518:1-2 (2001), 195–200  crossref  zmath  adsnasa  isi (cited: 22)  elib (cited: 26)  scopus (cited: 25)

   2000
48. A. A. Slavnov, “Four dimensional physics via five dimensional constrained systems”, Constrained dynamics and quantum gravity (Villasimius, 1999), Nuclear Phys. B, 88, no. 1-3, 2000, 210–214  crossref  mathscinet  adsnasa  isi (cited: 1)  elib (cited: 2)  scopus (cited: 2)
49. T. D. Bakeyev, A. A. Slavnov, “A Bosonization Algorithm for Lattice Computer Simulations in QCD with Dynamical Fermions”, Proc. Steklov Inst. Math., 228 (2000), 92–105  mathnet  mathscinet  zmath
50. A. A. Slavnov, “Bosonized forvulation of Non–Abelian gauge theories without anticommuting variables”, New trends in high energy physics, Kiev, 2000, 158–167
51. A. A. Slavnov, “Kovariantnaya formulirovka neabelevykh kalibrovochnykh teorii bez antikommutiruyuschikh polei”, EChAYa, 31:7A (2000), 97–103

   1999
52. A. Slavnov, “Global quantum anomaly”, Supersymmetries and quantum symmetries (Dubna, 1997), Lecture Notes in Phys., 524, Springer, Berlin, 1999, 368–372  crossref  mathscinet  adsnasa
53. A. A. Slavnov, “Covariant formulation of non-abelian gauge theories without anticommuting variables”, Phys. Lett. B, 469:1-4 (1999), 155–160  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
54. A. A. Slavnov, “Path integral representation for the phase of a chiral determinant and global chiral anomaly”, Path integrals from peV to TeV (Florence, 1998), World Sci. Publ., River Edge, NJ, 1999, 80–86  mathscinet
55. A. A. Slavnov, “Lattice QCD with exponentially small chirality breaking”, Nuclear Phys. B, 544:3 (1999), 759–774  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 4)  scopus (cited: 4)
56. A. A. Slavnov, “Multifield Formulation of Lattice Gauge Theories”, Proc. Steklov Inst. Math., 226 (1999), 127–137  mathnet  mathscinet  zmath
57. M. M. Deminov, A. A. Slavnov, “Gluon-W-meson scattering via different regularization schemes”, Mod. Phys. Lett. A, 14:15 (1999), 993–1005  crossref  adsnasa  isi (cited: 2)  scopus (cited: 2)

   1998
58. A. A. Slavnov, N. V. Zverev, “Fermion theories on a 2d torus with Wilson action improved by Pauli–Villars regularization”, Phys. Lett. B, 420:3-4 (1998), 323–332  crossref  mathscinet  adsnasa  isi (cited: 4)  elib (cited: 2)  scopus (cited: 2)
59. A. A. Slavnov, “Soft supersymmetry breaking as a spontaneous breaking in the auxiliary sector”, Theoret. and Math. Phys., 117:2 (1998), 1364–1367  mathnet  crossref  crossref  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
60. N. V. Zverev, A. A. Slavnov, “Nonlocal lattice fermionic models on a two-dimensional torus”, Theoret. and Math. Phys., 115:1 (1998), 448–457  mathnet  crossref  crossref  zmath  adsnasa  isi  elib (cited: 2)  scopus (cited: 2)

   1997
61. A. A. Slavnov, “Progress in studies of fermions on a lattice”, Proceedings of the Second International A. D. Sakharov Conference on Physics (Moscow, 1996), World Sci. Publ., River Edge, NJ, 1997, 581–585  mathscinet  adsnasa
62. A. A. Slavnov, “Phase of a chiral determinant and global $\mathrm{SU}(2)$ anomaly”, Phys. Lett. B, 415:4 (1997), 390–394  crossref  mathscinet  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 2)
63. A. A. Slavnov, “Regularization of constrained systems”, Constrained dynamics and quantum gravity (Santa Margherita Ligure, 1996), Nuclear Phys. B, 57, no. 1-3, 1997, 21–27  crossref  mathscinet  zmath  adsnasa  elib  scopus
64. T. D. Bakeyev, A. I. Veselov, M. I. Polikarpov, A. A. Slavnov, “Test of a new bosonization algorithm for a simple one-dimensional model”, Theoret. and Math. Phys., 113:1 (1997), 1255–1262  mathnet  crossref  crossref  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
65. A. A. Slavnov, “Bosonization of fermion determinants via extra dimension”, Nucl. Phys. B, 53:1-3, Proc. Suppl. (1997), 959–962  crossref  elib

   1996
66. A. A. Slavnov, “Path integral bosonization of fermion determinants”, Path integrals: theory and applications, Joint Inst. Nuclear Res., Dubna, 1996, 42–50  mathscinet
67. A. A. Slavnov, “Fermiony na reshetke”, Problemy kvantovoi teorii polya, OIYaI, Dubna, 1996, 24–32
68. T. D. Bakeev, A. A. Slavnov, “Higher covariant derivative regularization revisited”, Mod. Phys. Lett. A, 11:19 (1996), 1539–1554  crossref  adsnasa  isi (cited: 62)  elib (cited: 69)  scopus (cited: 63)
69. A. A. Slavnov, “Fermions on a lattice”, Problems of quantum field theory (Alushta, 1996), Joint Inst. Nuclear Res., Dubna, 1996, 24–31  mathscinet (cited: 1)
70. A. A. Slavnov, “Fermi–Bose duality via extra dimension”, Phys. Lett. B, 388:1 (1996), 147–153  crossref  mathscinet  adsnasa  isi (cited: 13)  elib (cited: 11)  scopus (cited: 11)
71. A. A. Slavnov, “Bosonization of fermion determinants”, Ukraïn. Fīz. Zh., 41:3 (1996), 316–321  mathscinet
72. A. A. Slavnov, “Bosonization of fermion determinants”, Phys. Lett. B, 366:1-4 (1996), 253–260  crossref  mathscinet (cited: 1)  adsnasa  isi (cited: 8)  elib (cited: 8)  scopus (cited: 9)
73. S. A. Frolov, A. A. Slavnov, C. Sochichiu, “Canonical quantization of the degenerate Wess–Zumino action including chiral interaction with gauge fields”, Internat. J. Modern Phys. A, 11:4 (1996), 747–758  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
74. N. V. Zverev, A. A. Slavnov, “A partial resummation of diagramms in the two dimensional lattice fermion model with the Pauli–Villars regularization”, Theoret. and Math. Phys., 106:3 (1996), 328–332  mathnet  crossref  crossref  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)

   1995
75. A. A. Slavnov, “Generalized Pauli–Villars regularization for undoubled lattice fermions”, Phys. Lett. B, 348 (1995), 553–559  crossref  adsnasa  isi (cited: 11)  elib (cited: 7)  scopus (cited: 12)
76. A. A. Slavnov, S. A. Frolov, C. V. Sochichiu, “$SO(N)$-invariant Wess–Zumino action and its quantization”, Theoret. and Math. Phys., 105:2 (1995), 1407–1425  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus (cited: 2)
77. N. V. Zverev, A. A. Slavnov, “Calculation of abelian anomaly in lattice chiral $SO(10)$ model”, Theoret. and Math. Phys., 103:2 (1995), 496–501  mathnet  crossref  zmath  adsnasa  isi
78. A. A. Slavnov, “A proposal for chiral fermions on the lattice”, Nucl. Phys. B, 42:1-3, Proc. Suppl. (1995), 166–170  crossref  elib (cited: 5)  scopus (cited: 5)

   1994
79. M. Henneaux, A. A. Slavnov, “A note on the path integral for systems with primary and secondary second class constraints”, Phys. Lett. B, 338:1 (1994), 47–50  crossref  mathscinet (cited: 7)  adsnasa  isi (cited: 22)  scopus (cited: 23)
80. A. A. Slavnov, “Chiral lattice fermions”, Algebra i analiz, 6:2 (1994), 238–247  mathnet  mathscinet  zmath; A. A. Slavnov, “Chiral lattice fermions”, St. Petersburg Math. J., 6:2 (1995), 407–415  mathscinet  zmath
81. S. A. Frolov, A. A. Slavnov, “Removing fermion doublers in chiral gauge theories on the lattice”, Nucl. Phys. B, 411:2-3 (1994), 647–664  crossref  adsnasa  isi (cited: 49)  scopus (cited: 47)

   1993
82. A. A. Slavnov, “Manifestly gauge invariant models of chiral lattice fermions”, Phys. Lett. B, 319 (1993), 231–239  crossref  adsnasa  isi (cited: 14)  scopus (cited: 13)
83. A. A. Slavnov, S. A. Frolov, “Quantization of Yang–Mills fields in linear gauges”, Phys. Particles Nuclei, 24:5 (1993), 597–617  mathscinet  adsnasa
84. S. A. Frolov, A. A. Slavnov, “An invariant regularization of the standard model”, Phys. Lett. B, 309:3-4 (1993), 344–350  crossref  mathscinet (cited: 1)  adsnasa  isi (cited: 78)  scopus (cited: 73)
85. S. A. Frolov, A. A. Slavnov, C. Sochichiu, “On the $\mathrm{SO}(N)$ symmetry of the chiral $\mathrm{SU}(N)$ Yang–Mills model”, Phys. Lett. B, 301:1 (1993), 59–66  crossref  mathscinet (cited: 2)  adsnasa  isi (cited: 2)  scopus (cited: 2)
86. G. A. Kravtsova, A. A. Slavnov, “On the problem of non-local counterterms for Yang–Mills theory in temporal-like and light-cone gauges”, Theoret. and Math. Phys., 96:2 (1993), 982–988  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1992
87. A. A. Slavnov, S. A. Frolov, “Canonical quantization of anomalous theories”, Theoret. and Math. Phys., 92:3 (1992), 1038–1046  mathnet  crossref  mathscinet  adsnasa  isi  scopus (cited: 1)
88. A. A. Slavnov, “A proposal for removing fermion doublers in lattice gauge theories”, Phys. Lett. B, 296:1-2 (1992), 159–162  crossref  adsnasa  scopus (cited: 2)

   1991
89. L. D. Faddeev, A. A. Slavnov, Gauge fields. Introduction to quantum theory, Translated from the second Russian edition, Frontiers in Physics, 83, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1991 , xviii+217 pp.  mathscinet (cited: 13)  zmath
90. S. A. Frolov, A. A. Slavnov, “Canonical quantization of regularized string theory”, Modern Phys. Lett. A, 6:39 (1991), 3621–3625  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)
91. S. A. Frolov, A. A. Slavnov, “Canonical quantization of regularized chiral electrodynamics”, Phys. Lett. B, 269:3-4 (1991), 377–382  crossref  mathscinet  adsnasa  isi (cited: 13)  scopus (cited: 12)
92. S. A. Frolov, A. A. Slavnov, “Consistent quantization of the two-dimensional chiral Higgs model”, Phys. Lett. B, 266:1-2 (1991), 65–70  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 2)
93. A. A. Slavnov, “Equivalence theorem for spectrum changing transformations”, Phys. Lett. B, 258:3-4 (1991), 391–394  crossref  mathscinet  adsnasa  isi (cited: 15)  scopus (cited: 17)
94. G. A. Kravtsova, A. A. Slavnov, “Propagator of Yang–Mills field in Hamiltonian Gauge”, Theoret. and Math. Phys., 89:2 (1991), 1181–1187  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1990
95. S. A. Frolov, A. A. Slavnov, “Construction of the effective action for general gauge theories via unitarity”, Nucl. Phys. B, 347 (1990), 333–346  crossref  adsnasa  isi (cited: 11)  scopus (cited: 10)
96. A. Slavnov, “BRST-quantization and unitarity”, Modern trends in particle physics '89 (Dubrovnik, 1989), Nuclear Phys. B, 15, Proc. Suppl., 1990, 107–124  crossref  mathscinet  zmath  adsnasa  scopus (cited: 2)
97. A. A. Slavnov, S. A. Frolov, “Lagrangian BRST quantization and unitarity”, Theoret. and Math. Phys., 85:3 (1990), 1237–1255  mathnet  crossref  mathscinet  adsnasa  isi  scopus (cited: 1)

   1989
98. A. A. Slavnov, “Singlet variables in Yang-Mills theory and matrix models”, Lectures on supermanifolds, geometrical methods and conformal groups, World Sci. Publ., Teaneck, NJ, 1989, 52–60  mathscinet
99. S. A. Frolov, A. A. Slavnov, “Physical subspace norm in Hamiltonian BRST-quantization”, Phys. Lett. B, 218:4 (1989), 461–464  crossref  mathscinet  adsnasa  isi (cited: 15)  elib  scopus (cited: 14)
100. A. A. Slavnov, “Physical unitarity in the BRST approach”, Phys. Lett. B, 217:1-2 (1989), 91–94  crossref  mathscinet (cited: 1)  adsnasa  isi (cited: 20)  elib (cited: 5)  scopus (cited: 20)
101. A. A. Slavnov, “Unitarity condition in covariant quantum field theory with indefinite metric”, Theoret. and Math. Phys., 79:3 (1989), 579–587  mathnet  crossref  mathscinet  adsnasa  isi  scopus (cited: 1)
102. A. A. Slavnov, “Mills theory and matrix models. Lectures”, Lectures on supermanifolds, geometrical methods & conformal groups, World Sci., 1989, 52–63

   1988
103. S. A. Frolov, A. A. Slavnov, “Covariant quantum description of the $N=2$ Brink-Schwarz superparticle”, Phys. Lett. B, 208:2 (1988), 245–248  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 5)
104. A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, 2-e izd., pererab. i dop., Nauka, M., 1988 , 270 pp.  mathscinet (cited: 4)  zmath
105. A. A. Slavnov, S. A. Frolov, “Quantization of non-Abelian antisymmetric tensor field”, Theoret. and Math. Phys., 75:2 (1988), 470–477  mathnet  crossref  mathscinet  adsnasa  isi (cited: 10)  scopus (cited: 13)

   1987
106. A. A. Slavnov, “Effective Lagrangians, anomalies and spontaneous symmetry breaking”, Superstrings, anomalies & unification (Dubrovnik, 1986), World Sci. Publishing, Singapore, 1987, 393–416  mathscinet
107. I. Ya. Aref'eva, A. A. Slavnov, “Renormalization of gauge-invariant and essentially nonlinear models of quantum field theory”, Mathematical physics and complex analysis, Collection of survey papers 4. On the 50th anniversary of the Institute, Trudy Mat. Inst. Steklov., 176, 1987, 66–85  mathnet  mathscinet
108. A. A. Slavnov, S. A. Frolov, “Propagator of Yang–Mills field in light-cone gauge”, Theoret. and Math. Phys., 73:2 (1987), 1158–1165  mathnet  crossref  mathscinet  adsnasa  isi (cited: 14)  scopus (cited: 15)
109. V. K. Krivoshchekov, A. A. Slavnov, L. O. Chekhov, “Effective Lagrangian for supersymmetric quantum chromodynamics and the problem of dynamical breaking of supersymmetry”, Theoret. and Math. Phys., 72:1 (1987), 686–693  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 1)
110. L. O. Chekhov, V. K. Krivoschekov, A. A. Slavnov, “SUSY QCD effective action in the large N(c) limit”, Phys. Lett. B, 194 (1987), 236–240  crossref  adsnasa  isi  elib  scopus

   1986
111. A. A. Slavnov, “The effective Lagrangian in supersymmetric quantum chromodynamics”, Group-theoretic methods in physics (Jūrmala, 1985), v. 1, “Nauka”, Moscow, 1986, 249–256 (Russian)  mathscinet
112. A. A. Slavnov, “Effective Lagrangian for supersymmetric QCD”, Supersymmetry and its applications: superstrings, anomalies and supergravity (Cambridge, 1985), Cambridge Univ. Press, Cambridge, 1986, 329–340  mathscinet
113. A. A. Slavnov, S. A. Frolov, “Quantization of Yang–Mills fields in the $A_0=0$ gauge”, Theoret. and Math. Phys., 68:3 (1986), 880–884  mathnet  crossref  mathscinet  adsnasa  isi (cited: 5)  scopus (cited: 5)
114. N. V. Goncharov, A. A. Slavnov, “Diagram technique of $1/N$ expansion in a matrix model of field theory”, Theoret. and Math. Phys., 66:3 (1986), 243–252  mathnet  crossref  adsnasa  isi  scopus
115. A. A. Slavnov, “Effective Lagrangian in supersymmetric quantum chromodynamics”, Theoret. and Math. Phys., 66:2 (1986), 129–135  mathnet  crossref  mathscinet  adsnasa  isi  scopus (cited: 1)

   1985
116. N. I. Karchev, A. A. Slavnov, “Effective chiral Lagrangian from $SU(\infty)$ quantum chromodynamics”, Theoret. and Math. Phys., 65:2 (1985), 1099–1105  mathnet  crossref  adsnasa  isi (cited: 10)  scopus (cited: 22)
117. A. A. Slavnov, Nonperturbative methods in quantum field theory, Rapporteur talk at XXII International conference on high energy physics, Leipzig, 1985 , 19 pp.
118. A. A. Slavnov, “KKhD pri nizkikh energiyakh”, Lektsii na shkole molodykh uchenykh, MGU, Moskva, 1985, 121–144

   1983
119. A. A. Slavnov, “Approximate solution of matrix $N\times N$ models at large $N$”, Theoret. and Math. Phys., 57:1 (1983), 955–959  mathnet  crossref  mathscinet  adsnasa  isi  scopus (cited: 1)
120. A. A. Slavnov, “Infrared singularities of the gluon propagator and quark confinement in the limit of an infinite number of colors”, Theoret. and Math. Phys., 54:1 (1983), 31–34  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 1)
121. A. A. Slavnov, “Recent developments in $1/N$ expansion for QCD and matrix models”, Acta. Phys. Aut. Suppl., XXV (1983), 357–396
122. A. A. Slavnov, “Singlet variables in QCD and matrix models”, Frontiers in Physics, 83, World Sci., 1983, 26–36
123. A. A. Slavnov, “The approximate summation of planar diagrams in matrix $\phi^4$ models”, Phys. Lett. B, 126 (1983), 347–350  crossref  adsnasa  elib (cited: 1)  scopus (cited: 2)

   1982
124. A. A. Slavnov, “Singlet collective variables for the Yang-Mills field”, Phys. Lett. B, 112:2 (1982), 154–156  crossref  mathscinet  adsnasa  isi (cited: 19)  elib (cited: 3)  scopus (cited: 17)
125. A. A. Slavnov, B. A. Faizullaev, “Invariant infrared regularization for supersymmetric Yang–Mills fields”, Theoret. and Math. Phys., 53:3 (1982), 1161–1164  mathnet  crossref  mathscinet  adsnasa  isi (cited: 2)  scopus
126. A. A. Slavnov, “Quantum chromodynamics and matrix models in terms of singlet variables. $N^{-1}$-expansion”, Theoret. and Math. Phys., 51:3 (1982), 517–523  mathnet  crossref  adsnasa  isi (cited: 1)  scopus (cited: 2)

   1981
127. A. A. Slavnov, “Gauge invariant infrared regularization for nonabelian fields”, Phys. Lett. B, 98:1-2 (1981), 57–58  crossref  mathscinet  adsnasa  isi (cited: 10)  scopus (cited: 8)
128. I. Ya. Arefeva, A. A. Slavnov, “Teoriya kalibrovochnykh polei”, Lektsii na XIV mezhdunarodnoi shkole molodykh uchenykh, OIYaI, Dubna, 1981, 35–100
129. A. A. Slavnov, “Gauge invariant infrared regularization for nonabelian fields”, Physica Scripta, 23 (1981), 908–909  crossref  adsnasa  isi

   1980
130. L. D. Faddeev, A. A. Slavnov, Gauge fields. Introduction to quantum theory, Translated from the Russian, Frontiers in Physics, 50, Benjamin/Cummings Publishing Co. Inc. Advanced Book Program, Reading, Mass., 1980 , xiii+232 pp.  mathscinet (cited: 26)  zmath
131. I. Ya. Aref'eva, A. A. Slavnov, “Geometrical origin of the Higgs model”, Theoret. and Math. Phys., 44:1 (1980), 563–572  mathnet  crossref  mathscinet  adsnasa  isi (cited: 3)  scopus (cited: 1)
132. A. A. Slavnov, “Symmetry preserving regularization for gauge and supergauge fields”, Superspace and supergravity, Cambridge Univ. Press, 1980, 177–185  adsnasa

   1979
133. A. A. Slavnov, “Application of path integrals to nonperturbative study of massive Yang–Mills theory”, Feynman path integrals, Proc. Internat. Colloq. (Marseille, 1978), Lecture Notes in Phys., 106, Springer, Berlin, 1979, 289–303  crossref  mathscinet  adsnasa
134. A. A. Slavnov, “Modern status of gauge felds”, Problems of quantum field theory, JINR, Dubna, 1979, 183–200

   1978
135. A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 , 240 pp.  mathscinet (cited: 6)
136. A. A. Slavnov, “Supersymmetric gauge theories and their possible applications to the weak and electromagnetic interactions”, Soviet Phys. Uspekhi, 124:3 (1978), 240–251  crossref  crossref  mathscinet  adsnasa
137. E. Sh. Egorian, A. A. Slavnov, “Supersymmetric models of weak and electromagnetic interactions”, Ann. of Phys., 116 (1978), 358–373  crossref  adsnasa  scopus (cited: 3)
138. A. A. Slavnov, “Unified models of weak and electromagnetic interactions with spontaneously broken supersymmetry”, Lectute notes of III School on high energy physics (Sofia), 1978, 259–293

   1977
139. A. A. Slavnov, “Spontaneous breaking of supersymmetry and its possible application to unified gauge models”, Nuclear Phys. B, 124:2-3 (1977), 301–308  crossref  mathscinet (cited: 5)  adsnasa  scopus (cited: 8)
140. A. A. Slavnov, “Pauli–Villars regularization for non-Abelian gauge theories”, Theoret. and Math. Phys., 33:2 (1977), 977–981  mathnet  crossref  mathscinet  adsnasa  scopus (cited: 41)
141. A. A. Slavnov, “Kalibrovochnye i superkalibrovochnye teorii polya”, Doklad na XVIII Mezhdunarodnoi konferentsii po fizike vysokikh energii (Tbilisi), OIYaI, 1977, T12–T27

   1976
142. A. A. Slavnov, “Supersymmetric gauge field theories”, Nonlocal, nonlinear and nonrenormalizable field theories, Proc. Fourth Internat. Sympos. Nonlocal Field Theories (Alushta, 1976), OIYaI, Dubna, 1976, 165–182  mathscinet
143. A. A. Slavnov, “Electromagnetic field without indefinite metric”, Theoret. and Math. Phys., 29:3 (1976), 1079–1084  mathnet  crossref  mathscinet  adsnasa  scopus (cited: 1)
144. A. A. Slavnov, “Vector-like lepton model with supersymmetric interaction”, Theoret. and Math. Phys., 29:2 (1976), 987–991  mathnet  crossref  adsnasa  scopus (cited: 1)
145. A. A. Slavnov, “Spontaneous breaking of supersymmetry in non-abelian gauge theories”, Theoret. and Math. Phys., 27:2 (1976), 384–389  mathnet  crossref  mathscinet  adsnasa  scopus (cited: 2)
146. V. K. Krivoshchekov, A. A. Slavnov, B. A. Faizullaev, “Superdiagram technique for gauge theories”, Theoret. and Math. Phys., 26:2 (1976), 95–104  mathnet  crossref  mathscinet  adsnasa  scopus (cited: 2)
147. A. A. Slavnov, “Supersimmetricheskie kalibrovochnye teorii”, Trudy Konferentsii po nelokalnym i nelineinym teoriyam, OIYaI, Dubna, 1976, 24–42

   1975
148. A. A. Slavnov, “Renormalization of supersymmetric gauge theories”, International Symposium on Mathematical Problems in Theoretical Physics (Kyoto Univ., Kyoto, 1975), Lecture Notes in Phys., 39, Springer, Berlin, 1975, 214–217  crossref  mathscinet (cited: 1)  adsnasa
149. A. A. Slavnov, “Renormalization of theories with a nontrivial group of internal symmetry”, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 135, 1975, 210–217  mathnet  mathscinet
150. A. A. Slavnov, “Renormalization of supersymmetric quantum electrodynamics”, Theoret. and Math. Phys., 23:1 (1975), 305–310  mathnet  crossref  adsnasa  scopus (cited: 10)
151. A. A. Slavnov, “Functional integral in perturbation theory”, Theoret. and Math. Phys., 22:2 (1975), 123–128  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 23)
152. A. A. Slavnov, “Renormalization of supersymmetric gauge theories. (II) Non-Abelian case”, Nucl. Phys. B, 97:1 (1975), 155–164  crossref  adsnasa  scopus (cited: 38)

   1974
153. A. A. Slavnov, “Perenormirovka kalibrovochno-invariantnykh teorii”, EChAYa, 5 (1974), 755–790  mathscinet
154. I. Ya. Aref'eva, A. A. Slavnov, L. D. Faddeev, “Generating functional for the $S$-matrix in gauge-invariant theories”, Theoret. and Math. Phys., 21:3 (1974), 1165–1172  mathnet  crossref  adsnasa  scopus (cited: 38)
155. V. V. Belokurov, A. A. Vladimirov, D. I. Kazakov, A. A. Slavnov, D. V. Shirkov, “Ultraviolet asymptotic behavior in the presence of non-Abelian gauge groups”, Theoret. and Math. Phys., 19:2 (1974), 415–425  mathnet  crossref  adsnasa  scopus (cited: 5)

   1973
156. A. A. Slavnov, Lectures on renormalization of gauge theories, Tbiisi University Publ., 1973 , 57 pp.
157. L. D. Faddeev, A. A. Slavnov, “Higher orders in the invariant perturbation theory for chiral Lagrangians”, Lett. Nuovo Cimento, 8:2 (1973), 117–120  crossref  scopus (cited: 7)
158. A. A. Slavnov, “Kalibrovochnye polya”, Trudy mezhdunarodnoi shkoly molodykh uchenykh, OIYaI, Dubna, 1973, 1–69

   1972
159. A. A. Slavnov, “Invariant regularization of gauge theories”, Theoret. and Math. Phys., 13:2 (1972), 1064–1066  mathnet  crossref  adsnasa  scopus (cited: 71)
160. A. A. Slavnov, “Massive gauge fields”, Theoret. and Math. Phys., 10:3 (1972), 201–217  mathnet  crossref  adsnasa  scopus (cited: 21)
161. A. A. Slavnov, “Ward identities in gauge theories”, Theoret. and Math. Phys., 10:2 (1972), 99–104  mathnet  crossref  adsnasa  scopus (cited: 324)

   1971
162. A. A. Slavnov, “Invariant regularization of non-linear chiral theories”, Nuclear Phys. B, 31 (1971), 301–315  crossref  mathscinet (cited: 4)  adsnasa  elib (cited: 51)  scopus (cited: 109)
163. A. A. Slavnov, L. D. Faddeev, “Invariant perturbation theory for nonlinear chiral Lagrangians”, Theoret. and Math. Phys., 8:3 (1971), 843–850  mathnet  crossref  adsnasa  scopus (cited: 11)
164. A. A. Slavnov, “Anomalous ward identities in renormalized perturbation theory”, Theoret. and Math. Phys., 7:1 (1971), 331–335  mathnet  crossref  adsnasa  scopus

   1970
165. A. A. Slavnov, “Polya Yanga–Millsa s nenulevoi massoi”, Trudy II Konferentsii po nelokalnym teoriyam polya, OIYaI, Dubna, 1970, 229–245
166. A. A. Slavnov, L. D. Faddeev, “Bezmassovoe i massivnoe pole Yanga–Millsa”, TMF, 3:1 (1970), 18–23  mathnet (cited: 16); A. A. Slavnov, L. D. Faddeev, “Massless and massive Yang–Mills fields”, Theoret. and Math. Phys., 3:1 (1971), 312–316  crossref  adsnasa  scopus (cited: 32)

   1968
167. A. A. Slavnov, “Dostatochnoe uslovie perenorimiruemosti teorii vektornykh polei s nenulevoi massoi”, YaF, 8 (1968), 390–395

   1966
168. A. A. Slavnov, O. I. Zavyalov, “Symple dynamical model for baryon resonances”, Phys. Lett., 22 (1966), 686–689  crossref  adsnasa
169. A. A. Slavnov, A. D. Sukhanov, “Lagranzhian i gamiltonian dlya vektornoi elektrodinamiki v predstavlenii vzaimodeistviya”, YaF, 4 (1966), 425–431

   1965
170. A. A. Slavnov, A. E. Shabad, “Ustranenie nefizicheskikh singulyarnostei v polevoi teorii slabykh vzaimodeistvii”, YaF, 1 (1965), 721–728
171. A. A. Slavnov, “Reshenie uravneniya Bete–Solpitera v teorii zaryazhennykh vektornykh bozonov”, YaF, 2 (1965), 190–197

   1964
172. N. N. Meiman, A. A. Slavnov, “On the upper limit of the $\pi-N$ coupling constant”, Phys. Lett., 10 (1964), 124–126  crossref  mathscinet (cited: 1)  adsnasa  elib  scopus (cited: 1)

   1963
173. A. A. Slavnov, “On the theory of Green's functions of vector fields”, Soviet Physics JETP, 17 (1963), 754–756  mathscinet

Presentations in Math-Net.Ru
1. Солитонные решения классических уравнений в модифицированной теории Янга–Миллса
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 1, 2014 14:00
2. Квантование неабелевых калибровочных теорий
A. A. Slavnov
Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov
November 14, 2013 10:00   
3. Квантование неабелевых калибровочных полей вне рамок теории возмущений
A. A. Slavnov
International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov
May 14, 2013 12:15   
4. Теория Янга–Миллса как безмассовый предел массивной неабелевой калибровочно-инвариантной модели
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 21, 2012 14:00
5. Отщепление продольной поляризации в безмассовой модели Хиггса–Киббла
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 23, 2012 14:00
6. Renormalization of the Yang–Mills theory in the ambiguity free gauge
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 10, 2010 14:00
7. Supercomputers in high energy physics
A. A. Slavnov
Scientific conference "Selected Problems of Contemporary Mathematics" dedicated to the 60th anniversary of V. V. Kozlov
January 11, 2010 15:20   
8. Лоренц инвариантное квантование теории Янга–Миллса без грибовской аномалии
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 1, 2009 14:00
9. A local gauge invariant infra-red regularization for the Yang-Mills theory
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 23, 2007 14:00
10. Extra dimension versus Higgs meson
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 18, 2006
11. Noncommutative gauge theories and gauge invariance of $A_\mu^2(x)$ condensate in Yang–Mills theory
A. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 13, 2004

Books in Math-Net.Ru
  1. Mathematical physics. Problems of quantum field theory, Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev, Tr. Mat. Inst. Steklova, 226, ed. A. A. Slavnov, E. F. Mishchenko, 1999, 239 с.
    http://mi.mathnet.ru/book239

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