Persons: Slavnov, Andrei Alekseevich

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Slavnov, Andrei Alekseevich
(1939–2022)

Statistics
in MathSciNet:	103 (98)
in zbMATH:	49 (47)
in Web of Science:	98 (87)
in Scopus:	115 (115)

Full 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

Keywords:

Gauge fields, renormalization, nonperturbative methods.

UDC:

530.1, 530.145.1

Subject:

Quantum field theory, mathematical physics.

Main publications:

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

https://www.mathnet.ru/eng/person18029

https://ru.wikipedia.org/wiki/Slavnov_Andrei_Alekseevich

List of publications on Google Scholar

https://zbmath.org/authors/ai:slavnov.andrei-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/198145

https://elibrary.ru/author_items.asp?authorid=5759

https://www.webofscience.com/wos/author/record/Q-4510-2016

https://www.scopus.com/authid/detail.url?authorId=24291428600

List of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2018
1.	A. A. Slavnov, “Renormalizability and unitarity of the Englert–Broute–Higgs–Kibble model”, Theoret. and Math. Phys., 197:2 (2018), 1611–1614

2017
2.	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
3.	A. A. Slavnov, “60 years of nonabelian gauge fields”, Particle Physics at the Year of Light, 2017, 435–442	1 ^[x]

2016
4.	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

2015
5.	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
6.	A. A. Slavnov, “New approach to the quantization of the Yang–Mills field”, Theoret. and Math. Phys., 183:2 (2015), 585–596
7.	A. A. Slavnov, “Quantization of Non-Abelian Gauge Fields”, Proc. Steklov Inst. Math., 289 (2015), 286–290

2014
8.	A. A. Slavnov, Solitons in modified Yang-Mills theory, 2014 , 9 pp., arXiv: 1406.7724
9.	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
10.	A. A. Slavnov, “Quantization of non-Abelian gauge fields beyond the perturbation theory framework”, Theoret. and Math. Phys., 181:1 (2014), 1302–1306

2013
11.	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
12.	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
13.	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
14.	A. A. Slavnov, “The study of ambiguity in non-Abelian gauge theories”, Theoret. and Math. Phys., 170:2 (2012), 198–202

2011
15.	A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory without Gribov ambiguity”, Proc. Steklov Inst. Math., 272 (2011), 235–245
16.	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
17.	A. Quadri, A. A. Slavnov, “Ambiguity-free formulation of the Higgs–Kibble model”, Theoret. and Math. Phys., 166:3 (2011), 291–302

2010
18.	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.	23 ^[x]
19.	A. A. Slavnov, “Slavnov–Taylor identities”, Int. J. Mod. Phys., 25:5 (2010), 903–907	1 ^[x]

2009
20.	A. A. Slavnov, Lorentz invariant quantization of the Yang–Mills theory free of Gribov ambiguity, 2009 , 8 pp., arXiv: 0902.1847
21.	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

2008
22.	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.	27 ^[x]
23.	A. A. Slavnov, “Path integral inspired gauge invariant infrared regularization”, Path integrals, World Sci. Publ., Hackensack, NJ, 2008, 146–151
24.	D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys., 155:2 (2008), 708–714
25.	A. A. Slavnov, “Local gauge-invariant infrared regularization of Yang–Mills theory”, Theoret. and Math. Phys., 154:2 (2008), 178–183

2006
26.	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
27.	A. A. Slavnov, “Higgs mechanism as a collective effect due to an extra dimension”, Theoret. and Math. Phys., 148:3 (2006), 1159–1167
28.	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
29.	A. A. Slavnov, “Hierarchy of massive gauge fields”, Phys. Lett. B, 620:1-2 (2005), 97–103	11 ^[x]
30.	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	13 ^[x]
31.	D. V. Bykov, A. A. Slavnov, “Dimension-Two Vacuum Condensates in Gauge-Invariant Theories”, Theoret. and Math. Phys., 145:2 (2005), 1495–1503
32.	A. A. Slavnov, “Gauge invariance of the dimension-two condensate in the Yang–Mills theory”, Theoret. and Math. Phys., 143:1 (2005), 489–493
33.	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.	19 ^[x]
34.	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

2004
35.	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
36.	A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory”, Theoret. and Math. Phys., 139:2 (2004), 599–608

2003
37.	A. A. Slavnov, “Progress in study of renormalization of theories with nontrivial internal symmetry”, Ann. Henri Poincaré, 4, suppl. 1 (2003), S247–S258
38.	A. A. Slavnov, “Consistent non-commutative quantum gauge theories?”, Phys. Lett. B, 565:1-4 (2003), 246–252	16 ^[x]
39.	A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for Supersymmetric Theories”, Theoret. and Math. Phys., 135:2 (2003), 673–684
40.	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	6 ^[x]
41.	A. A. Slavnov, “Simmetrii i perenormirovka”, EChAYa, 34:7 (2003), 4–29

2002
42.	A. A. Slavnov, “Renormalization by enforcing a symmetry”, Multiple facets of quantization and supersymmetry, World Sci. Publ., River Edge, NJ, 2002, 654–669
43.	A. A. Slavnov, “Regularization-Independent Gauge-Invariant Renormalization of the Yang–Mills Theory”, Theoret. and Math. Phys., 130:1 (2002), 1–10

2001
44.	A. A. Slavnov, “Bosonized formulation of field theories”, Quantization, gauge theory, and strings (Moscow, 2000), v. II, Sci. World, Moscow, 2001, 246–254
45.	A. A. Slavnov, “Regularization independent renormalization for theories with nontrivial internal symmetry”, New trends in high energy physics, Kiev, 2001, 273–282
46.	A. A. Slavnov, “Universal gauge invariant renormalization”, Phys. Lett. B, 518:1-2 (2001), 195–200	42 ^[x]

2000
47.	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	2 ^[x]
48.	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
49.	A. A. Slavnov, “Bosonized forvulation of Non–Abelian gauge theories without anticommuting variables”, New trends in high energy physics, Kiev, 2000, 158–167
50.	A. A. Slavnov, “Kovariantnaya formulirovka neabelevykh kalibrovochnykh teorii bez antikommutiruyuschikh polei”, EChAYa, 31:7A (2000), 97–103

1999
51.	A. Slavnov, “Global quantum anomaly”, Supersymmetries and quantum symmetries (Dubna, 1997), Lecture Notes in Phys., 524, Springer, Berlin, 1999, 368–372
52.	A. A. Slavnov, “Covariant formulation of non-abelian gauge theories without anticommuting variables”, Phys. Lett. B, 469:1-4 (1999), 155–160	3 ^[x]
53.	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
54.	A. A. Slavnov, “Lattice QCD with exponentially small chirality breaking”, Nuclear Phys. B, 544:3 (1999), 759–774	5 ^[x]
55.	A. A. Slavnov, “Multifield Formulation of Lattice Gauge Theories”, Proc. Steklov Inst. Math., 226 (1999), 127–137
56.	M. M. Deminov, A. A. Slavnov, “Gluon-W-meson scattering via different regularization schemes”, Mod. Phys. Lett. A, 14:15 (1999), 993–1005	2 ^[x]

1998
57.	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	4 ^[x]
58.	A. A. Slavnov, “Soft supersymmetry breaking as a spontaneous breaking in the auxiliary sector”, Theoret. and Math. Phys., 117:2 (1998), 1364–1367
59.	N. V. Zverev, A. A. Slavnov, “Nonlocal lattice fermionic models on a two-dimensional torus”, Theoret. and Math. Phys., 115:1 (1998), 448–457

1997
60.	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
61.	A. A. Slavnov, “Phase of a chiral determinant and global $\mathrm{SU}(2)$ anomaly”, Phys. Lett. B, 415:4 (1997), 390–394	1 ^[x]
62.	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
63.	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
64.	A. A. Slavnov, “Bosonization of fermion determinants via extra dimension”, Nucl. Phys. B, 53:1-3, Proc. Suppl. (1997), 959–962	4 ^[x]

1996
65.	A. A. Slavnov, “Path integral bosonization of fermion determinants”, Path integrals: theory and applications, Joint Inst. Nuclear Res., Dubna, 1996, 42–50
66.	A. A. Slavnov, “Fermiony na reshetke”, Problemy kvantovoi teorii polya, OIYaI, Dubna, 1996, 24–32
67.	T. D. Bakeev, A. A. Slavnov, “Higher covariant derivative regularization revisited”, Mod. Phys. Lett. A, 11:19 (1996), 1539–1554	75 ^[x]
68.	A. A. Slavnov, “Fermions on a lattice”, Problems of quantum field theory (Alushta, 1996), Joint Inst. Nuclear Res., Dubna, 1996, 24–31
69.	A. A. Slavnov, “Fermi–Bose duality via extra dimension”, Phys. Lett. B, 388:1 (1996), 147–153	12 ^[x]
70.	A. A. Slavnov, “Bosonization of fermion determinants”, Ukraïn. Fīz. Zh., 41:3 (1996), 316–321
71.	A. A. Slavnov, “Bosonization of fermion determinants”, Phys. Lett. B, 366:1-4 (1996), 253–260	7 ^[x]
72.	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	3 ^[x]
73.	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

1995
74.	A. A. Slavnov, “Generalized Pauli–Villars regularization for undoubled lattice fermions”, Phys. Lett. B, 348 (1995), 553–559	8 ^[x]
75.	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
76.	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
77.	A. A. Slavnov, “A proposal for chiral fermions on the lattice”, Nucl. Phys. B, 42:1-3, Proc. Suppl. (1995), 166–170	5 ^[x]

1994
78.	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	21 ^[x]

1995
79.	A. A. Slavnov, “Chiral lattice fermions”, St. Petersburg Math. J., 6:2 (1995), 407–415

1994
80.	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	41 ^[x]

1993
81.	A. A. Slavnov, “Manifestly gauge invariant models of chiral lattice fermions”, Phys. Lett. B, 319 (1993), 231–239	12 ^[x]
82.	A. A. Slavnov, S. A. Frolov, “Quantization of Yang–Mills fields in linear gauges”, Phys. Particles Nuclei, 24:5 (1993), 597–617
83.	S. A. Frolov, A. A. Slavnov, “An invariant regularization of the standard model”, Phys. Lett. B, 309:3-4 (1993), 344–350	74 ^[x]
84.	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	2 ^[x]
85.	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

1992
86.	A. A. Slavnov, S. A. Frolov, “Canonical quantization of anomalous theories”, Theoret. and Math. Phys., 92:3 (1992), 1038–1046
87.	A. A. Slavnov, “A proposal for removing fermion doublers in lattice gauge theories”, Phys. Lett. B, 296:1-2 (1992), 159–162	2 ^[x]

1991
88.	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.
89.	S. A. Frolov, A. A. Slavnov, “Canonical quantization of regularized string theory”, Modern Phys. Lett. A, 6:39 (1991), 3621–3625	4 ^[x]
90.	S. A. Frolov, A. A. Slavnov, “Canonical quantization of regularized chiral electrodynamics”, Phys. Lett. B, 269:3-4 (1991), 377–382	11 ^[x]
91.	S. A. Frolov, A. A. Slavnov, “Consistent quantization of the two-dimensional chiral Higgs model”, Phys. Lett. B, 266:1-2 (1991), 65–70	2 ^[x]
92.	A. A. Slavnov, “Equivalence theorem for spectrum changing transformations”, Phys. Lett. B, 258:3-4 (1991), 391–394	18 ^[x]
93.	G. A. Kravtsova, A. A. Slavnov, “Propagator of Yang–Mills field in Hamiltonian Gauge”, Theoret. and Math. Phys., 89:2 (1991), 1181–1187

1990
94.	S. A. Frolov, A. A. Slavnov, “Construction of the effective action for general gauge theories via unitarity”, Nucl. Phys. B, 347 (1990), 333–346	12 ^[x]
95.	A. Slavnov, “BRST-quantization and unitarity”, Modern trends in particle physics '89 (Dubrovnik, 1989), Nuclear Phys. B, 15, Proc. Suppl., 1990, 107–124	4 ^[x]
96.	A. A. Slavnov, S. A. Frolov, “Lagrangian BRST quantization and unitarity”, Theoret. and Math. Phys., 85:3 (1990), 1237–1255

1989
97.	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
98.	S. A. Frolov, A. A. Slavnov, “Physical subspace norm in Hamiltonian BRST-quantization”, Phys. Lett. B, 218:4 (1989), 461–464	14 ^[x]
99.	A. A. Slavnov, “Physical unitarity in the BRST approach”, Phys. Lett. B, 217:1-2 (1989), 91–94	22 ^[x]
100.	A. A. Slavnov, “Unitarity condition in covariant quantum field theory with indefinite metric”, Theoret. and Math. Phys., 79:3 (1989), 579–587
101.	A. A. Slavnov, “Mills theory and matrix models. Lectures”, Lectures on supermanifolds, geometrical methods & conformal groups, World Sci., 1989, 52–63

1988
102.	S. A. Frolov, A. A. Slavnov, “Covariant quantum description of the $N=2$ Brink-Schwarz superparticle”, Phys. Lett. B, 208:2 (1988), 245–248	3 ^[x]
103.	A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, 2-e izd., pererab. i dop., Nauka, M., 1988 , 270 pp.
104.	A. A. Slavnov, S. A. Frolov, “Quantization of non-Abelian antisymmetric tensor field”, Theoret. and Math. Phys., 75:2 (1988), 470–477

1987
105.	A. A. Slavnov, “Effective Lagrangians, anomalies and spontaneous symmetry breaking”, Superstrings, anomalies & unification (Dubrovnik, 1986), World Sci. Publishing, Singapore, 1987, 393–416
106.	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
107.	A. A. Slavnov, S. A. Frolov, “Propagator of Yang–Mills field in light-cone gauge”, Theoret. and Math. Phys., 73:2 (1987), 1158–1165
108.	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
109.	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	2 ^[x]

1986
110.	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)
111.	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
112.	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
113.	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
114.	A. A. Slavnov, “Effective Lagrangian in supersymmetric quantum chromodynamics”, Theoret. and Math. Phys., 66:2 (1986), 129–135

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

1983
118.	A. A. Slavnov, “Approximate solution of matrix $N\times N$ models at large $N$”, Theoret. and Math. Phys., 57:1 (1983), 955–959
119.	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
120.	A. A. Slavnov, “Recent developments in $1/N$ expansion for QCD and matrix models”, Acta. Phys. Aut. Suppl., XXV (1983), 357–396
121.	A. A. Slavnov, “Singlet variables in QCD and matrix models”, Frontiers in Physics, 83, World Sci., 1983, 26–36
122.	A. A. Slavnov, “The approximate summation of planar diagrams in matrix $\phi^4$ models”, Phys. Lett. B, 126 (1983), 347–350	2 ^[x]

1982
123.	A. A. Slavnov, “Singlet collective variables for the Yang-Mills field”, Phys. Lett. B, 112:2 (1982), 154–156	19 ^[x]
124.	A. A. Slavnov, B. A. Faizullaev, “Invariant infrared regularization for supersymmetric Yang–Mills fields”, Theoret. and Math. Phys., 53:3 (1982), 1161–1164
125.	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

1981
126.	A. A. Slavnov, “Gauge invariant infrared regularization for nonabelian fields”, Phys. Lett. B, 98:1-2 (1981), 57–58	9 ^[x]
127.	I. Ya. Arefeva, A. A. Slavnov, “Teoriya kalibrovochnykh polei”, Lektsii na XIV mezhdunarodnoi shkole molodykh uchenykh, OIYaI, Dubna, 1981, 35–100
128.	A. A. Slavnov, “Gauge invariant infrared regularization for nonabelian fields”, Physica Scripta, 23 (1981), 908–909

1980
129.	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.
130.	I. Ya. Aref'eva, A. A. Slavnov, “Geometrical origin of the Higgs model”, Theoret. and Math. Phys., 44:1 (1980), 563–572
131.	A. A. Slavnov, “Symmetry preserving regularization for gauge and supergauge fields”, Superspace and supergravity, Cambridge Univ. Press, 1980, 177–185

1979
132.	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	3 ^[x]
133.	A. A. Slavnov, “Modern status of gauge felds”, Problems of quantum field theory, JINR, Dubna, 1979, 183–200

1978
134.	A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 , 240 pp.
135.	A. A. Slavnov, “Supersymmetric gauge theories and their possible applications to the weak and electromagnetic interactions”, Soviet Phys. Uspekhi, 124:3 (1978), 240–251
136.	E. Sh. Egorian, A. A. Slavnov, “Supersymmetric models of weak and electromagnetic interactions”, Ann. of Phys., 116 (1978), 358–373	4 ^[x]
137.	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
138.	A. A. Slavnov, “Spontaneous breaking of supersymmetry and its possible application to unified gauge models”, Nuclear Phys. B, 124:2-3 (1977), 301–308	10 ^[x]
139.	A. A. Slavnov, “Pauli–Villars regularization for non-Abelian gauge theories”, Theoret. and Math. Phys., 33:2 (1977), 977–981
140.	A. A. Slavnov, “Kalibrovochnye i superkalibrovochnye teorii polya”, Doklad na XVIII Mezhdunarodnoi konferentsii po fizike vysokikh energii (Tbilisi), OIYaI, 1977, T12–T27

1976
141.	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
142.	A. A. Slavnov, “Electromagnetic field without indefinite metric”, Theoret. and Math. Phys., 29:3 (1976), 1079–1084
143.	A. A. Slavnov, “Vector-like lepton model with supersymmetric interaction”, Theoret. and Math. Phys., 29:2 (1976), 987–991
144.	A. A. Slavnov, “Spontaneous breaking of supersymmetry in non-abelian gauge theories”, Theoret. and Math. Phys., 27:2 (1976), 384–389
145.	V. K. Krivoshchekov, A. A. Slavnov, B. A. Faizullaev, “Superdiagram technique for gauge theories”, Theoret. and Math. Phys., 26:2 (1976), 95–104
146.	A. A. Slavnov, “Supersimmetricheskie kalibrovochnye teorii”, Trudy Konferentsii po nelokalnym i nelineinym teoriyam, OIYaI, Dubna, 1976, 24–42

1975
147.	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	2 ^[x]
148.	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
149.	A. A. Slavnov, “Renormalization of supersymmetric quantum electrodynamics”, Theoret. and Math. Phys., 23:1 (1975), 305–310
150.	A. A. Slavnov, “Functional integral in perturbation theory”, Theoret. and Math. Phys., 22:2 (1975), 123–128
151.	A. A. Slavnov, “Renormalization of supersymmetric gauge theories. (II) Non-Abelian case”, Nucl. Phys. B, 97:1 (1975), 155–164	49 ^[x]

1974
152.	A. A. Slavnov, “Perenormirovka kalibrovochno-invariantnykh teorii”, EChAYa, 5 (1974), 755–790
153.	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
154.	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

1973
155.	A. A. Slavnov, Lectures on renormalization of gauge theories, Tbiisi University Publ., 1973 , 57 pp.
156.	L. D. Faddeev, A. A. Slavnov, “Higher orders in the invariant perturbation theory for chiral Lagrangians”, Lett. Nuovo Cimento, 8:2 (1973), 117–120	4 ^[x]
157.	A. A. Slavnov, “Kalibrovochnye polya”, Trudy mezhdunarodnoi shkoly molodykh uchenykh, OIYaI, Dubna, 1973, 1–69

1972
158.	A. A. Slavnov, “Invariant regularization of gauge theories”, Theoret. and Math. Phys., 13:2 (1972), 1064–1066
159.	A. A. Slavnov, “Massive gauge fields”, Theoret. and Math. Phys., 10:3 (1972), 201–217
160.	A. A. Slavnov, “Ward identities in gauge theories”, Theoret. and Math. Phys., 10:2 (1972), 99–104

1971
161.	A. A. Slavnov, “Invariant regularization of non-linear chiral theories”, Nuclear Phys. B, 31 (1971), 301–315	188 ^[x]
162.	A. A. Slavnov, L. D. Faddeev, “Invariant perturbation theory for nonlinear chiral Lagrangians”, Theoret. and Math. Phys., 8:3 (1971), 843–850
163.	A. A. Slavnov, “Anomalous ward identities in renormalized perturbation theory”, Theoret. and Math. Phys., 7:1 (1971), 331–335

1970
164.	A. A. Slavnov, “Polya Yanga–Millsa s nenulevoi massoi”, Trudy II Konferentsii po nelokalnym teoriyam polya, OIYaI, Dubna, 1970, 229–245

1971
165.	A. A. Slavnov, L. D. Faddeev, “Massless and massive Yang–Mills fields”, Theoret. and Math. Phys., 3:1 (1971), 312–316

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

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

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

1964
171.	N. N. Meiman, A. A. Slavnov, “On the upper limit of the $\pi-N$ coupling constant”, Phys. Lett., 10 (1964), 124–126	4 ^[x]

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

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

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

Organisations