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

by years

by types

by times cited

common list

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

1.	A. A. Slavnov, “Ward identities in gauge theories”, Theoret. and Math. Phys., 10:2 (1972), 99–104
2.	A. A. Slavnov, “Invariant regularization of non-linear chiral theories”, Nuclear Phys. B, 31 (1971), 301–315	188 ^[x]
3.	A. A. Slavnov, “Invariant regularization of gauge theories”, Theoret. and Math. Phys., 13:2 (1972), 1064–1066
4.	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
5.	A. A. Slavnov, “Pauli–Villars regularization for non-Abelian gauge theories”, Theoret. and Math. Phys., 33:2 (1977), 977–981
6.	T. D. Bakeev, A. A. Slavnov, “Higher covariant derivative regularization revisited”, Mod. Phys. Lett. A, 11:19 (1996), 1539–1554	75 ^[x]
7.	S. A. Frolov, A. A. Slavnov, “An invariant regularization of the standard model”, Phys. Lett. B, 309:3-4 (1993), 344–350	74 ^[x]
8.	A. A. Slavnov, “Functional integral in perturbation theory”, Theoret. and Math. Phys., 22:2 (1975), 123–128
9.	A. A. Slavnov, “Renormalization of supersymmetric gauge theories. (II) Non-Abelian case”, Nucl. Phys. B, 97:1 (1975), 155–164	49 ^[x]
10.	N. I. Karchev, A. A. Slavnov, “Effective chiral Lagrangian from $SU(\infty)$ quantum chromodynamics”, Theoret. and Math. Phys., 65:2 (1985), 1099–1105
11.	A. A. Slavnov, “Universal gauge invariant renormalization”, Phys. Lett. B, 518:1-2 (2001), 195–200	42 ^[x]
12.	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]
13.	A. A. Slavnov, L. D. Faddeev, “Massless and massive Yang–Mills fields”, Theoret. and Math. Phys., 3:1 (1971), 312–316
14.	A. A. Slavnov, “Massive gauge fields”, Theoret. and Math. Phys., 10:3 (1972), 201–217
15.	A. A. Slavnov, L. D. Faddeev, “Invariant perturbation theory for nonlinear chiral Lagrangians”, Theoret. and Math. Phys., 8:3 (1971), 843–850
16.	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]
17.	A. A. Slavnov, “Regularization-Independent Gauge-Invariant Renormalization of the Yang–Mills Theory”, Theoret. and Math. Phys., 130:1 (2002), 1–10
18.	A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory”, Theoret. and Math. Phys., 139:2 (2004), 599–608
19.	A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for Supersymmetric Theories”, Theoret. and Math. Phys., 135:2 (2003), 673–684
20.	A. A. Slavnov, S. A. Frolov, “Quantization of non-Abelian antisymmetric tensor field”, Theoret. and Math. Phys., 75:2 (1988), 470–477
21.	A. A. Slavnov, “Renormalization of supersymmetric quantum electrodynamics”, Theoret. and Math. Phys., 23:1 (1975), 305–310
22.	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]
23.	A. A. Slavnov, “Physical unitarity in the BRST approach”, Phys. Lett. B, 217:1-2 (1989), 91–94	22 ^[x]
24.	A. A. Slavnov, S. A. Frolov, “Propagator of Yang–Mills field in light-cone gauge”, Theoret. and Math. Phys., 73:2 (1987), 1158–1165
25.	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]
26.	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]
27.	A. A. Slavnov, “Singlet collective variables for the Yang-Mills field”, Phys. Lett. B, 112:2 (1982), 154–156	19 ^[x]
28.	A. A. Slavnov, “Equivalence theorem for spectrum changing transformations”, Phys. Lett. B, 258:3-4 (1991), 391–394	18 ^[x]
29.	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
30.	A. A. Slavnov, “Consistent non-commutative quantum gauge theories?”, Phys. Lett. B, 565:1-4 (2003), 246–252	16 ^[x]
31.	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
32.	S. A. Frolov, A. A. Slavnov, “Physical subspace norm in Hamiltonian BRST-quantization”, Phys. Lett. B, 218:4 (1989), 461–464	14 ^[x]
33.	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
34.	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]
35.	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
36.	A. A. Slavnov, “Gauge invariance of the dimension-two condensate in the Yang–Mills theory”, Theoret. and Math. Phys., 143:1 (2005), 489–493
37.	A. A. Slavnov, “Fermi–Bose duality via extra dimension”, Phys. Lett. B, 388:1 (1996), 147–153	12 ^[x]
38.	A. A. Slavnov, “Manifestly gauge invariant models of chiral lattice fermions”, Phys. Lett. B, 319 (1993), 231–239	12 ^[x]
39.	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]
40.	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
41.	A. A. Slavnov, “Hierarchy of massive gauge fields”, Phys. Lett. B, 620:1-2 (2005), 97–103	11 ^[x]
42.	S. A. Frolov, A. A. Slavnov, “Canonical quantization of regularized chiral electrodynamics”, Phys. Lett. B, 269:3-4 (1991), 377–382	11 ^[x]
43.	A. A. Slavnov, “Supersymmetric gauge theories and their possible applications to the weak and electromagnetic interactions”, Soviet Phys. Uspekhi, 124:3 (1978), 240–251
44.	A. A. Slavnov, “Higgs mechanism as a collective effect due to an extra dimension”, Theoret. and Math. Phys., 148:3 (2006), 1159–1167
45.	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]
46.	V. K. Krivoshchekov, A. A. Slavnov, B. A. Faizullaev, “Superdiagram technique for gauge theories”, Theoret. and Math. Phys., 26:2 (1976), 95–104
47.	A. A. Slavnov, “Gauge invariant infrared regularization for nonabelian fields”, Phys. Lett. B, 98:1-2 (1981), 57–58	9 ^[x]
48.	A. A. Slavnov, “Generalized Pauli–Villars regularization for undoubled lattice fermions”, Phys. Lett. B, 348 (1995), 553–559	8 ^[x]
49.	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
50.	A. A. Slavnov, “Bosonization of fermion determinants”, Phys. Lett. B, 366:1-4 (1996), 253–260	7 ^[x]
51.	A. A. Slavnov, “New approach to the quantization of the Yang–Mills field”, Theoret. and Math. Phys., 183:2 (2015), 585–596
52.	A. A. Slavnov, “Local gauge-invariant infrared regularization of Yang–Mills theory”, Theoret. and Math. Phys., 154:2 (2008), 178–183
53.	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]
54.	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
55.	I. Ya. Aref'eva, A. A. Slavnov, “Geometrical origin of the Higgs model”, Theoret. and Math. Phys., 44:1 (1980), 563–572
56.	A. A. Slavnov, “Lattice QCD with exponentially small chirality breaking”, Nuclear Phys. B, 544:3 (1999), 759–774	5 ^[x]
57.	A. A. Slavnov, “A proposal for chiral fermions on the lattice”, Nucl. Phys. B, 42:1-3, Proc. Suppl. (1995), 166–170	5 ^[x]
58.	A. A. Slavnov, “Approximate solution of matrix $N\times N$ models at large $N$”, Theoret. and Math. Phys., 57:1 (1983), 955–959
59.	A. A. Slavnov, “Spontaneous breaking of supersymmetry in non-abelian gauge theories”, Theoret. and Math. Phys., 27:2 (1976), 384–389
60.	A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory without Gribov ambiguity”, Proc. Steklov Inst. Math., 272 (2011), 235–245
61.	A. Quadri, A. A. Slavnov, “Ambiguity-free formulation of the Higgs–Kibble model”, Theoret. and Math. Phys., 166:3 (2011), 291–302
62.	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]
63.	N. V. Zverev, A. A. Slavnov, “Nonlocal lattice fermionic models on a two-dimensional torus”, Theoret. and Math. Phys., 115:1 (1998), 448–457
64.	A. A. Slavnov, “Bosonization of fermion determinants via extra dimension”, Nucl. Phys. B, 53:1-3, Proc. Suppl. (1997), 959–962	4 ^[x]
65.	S. A. Frolov, A. A. Slavnov, “Canonical quantization of regularized string theory”, Modern Phys. Lett. A, 6:39 (1991), 3621–3625	4 ^[x]
66.	G. A. Kravtsova, A. A. Slavnov, “Propagator of Yang–Mills field in Hamiltonian Gauge”, Theoret. and Math. Phys., 89:2 (1991), 1181–1187
67.	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]
68.	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
69.	A. A. Slavnov, “Effective Lagrangian in supersymmetric quantum chromodynamics”, Theoret. and Math. Phys., 66:2 (1986), 129–135
70.	E. Sh. Egorian, A. A. Slavnov, “Supersymmetric models of weak and electromagnetic interactions”, Ann. of Phys., 116 (1978), 358–373	4 ^[x]
71.	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]
72.	N. N. Meiman, A. A. Slavnov, “On the upper limit of the $\pi-N$ coupling constant”, Phys. Lett., 10 (1964), 124–126	4 ^[x]
73.	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
74.	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
75.	A. A. Slavnov, “The study of ambiguity in non-Abelian gauge theories”, Theoret. and Math. Phys., 170:2 (2012), 198–202
76.	D. V. Bykov, A. A. Slavnov, “Dimension-Two Vacuum Condensates in Gauge-Invariant Theories”, Theoret. and Math. Phys., 145:2 (2005), 1495–1503
77.	A. A. Slavnov, “Covariant formulation of non-abelian gauge theories without anticommuting variables”, Phys. Lett. B, 469:1-4 (1999), 155–160	3 ^[x]
78.	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]
79.	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
80.	A. A. Slavnov, S. A. Frolov, “Canonical quantization of anomalous theories”, Theoret. and Math. Phys., 92:3 (1992), 1038–1046
81.	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]
82.	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]
83.	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
84.	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]
85.	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
86.	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]
87.	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]
88.	A. A. Slavnov, “A proposal for removing fermion doublers in lattice gauge theories”, Phys. Lett. B, 296:1-2 (1992), 159–162	2 ^[x]
89.	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]
90.	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]
91.	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
92.	A. A. Slavnov, “The approximate summation of planar diagrams in matrix $\phi^4$ models”, Phys. Lett. B, 126 (1983), 347–350	2 ^[x]
93.	A. A. Slavnov, “Vector-like lepton model with supersymmetric interaction”, Theoret. and Math. Phys., 29:2 (1976), 987–991
94.	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]
95.	A. A. Slavnov, “Renormalizability and unitarity of the Englert–Broute–Higgs–Kibble model”, Theoret. and Math. Phys., 197:2 (2018), 1611–1614
96.	A. A. Slavnov, “60 years of nonabelian gauge fields”, Particle Physics at the Year of Light, 2017, 435–442	1 ^[x]
97.	A. A. Slavnov, “Quantization of Non-Abelian Gauge Fields”, Proc. Steklov Inst. Math., 289 (2015), 286–290
98.	A. A. Slavnov, “Quantization of non-Abelian gauge fields beyond the perturbation theory framework”, Theoret. and Math. Phys., 181:1 (2014), 1302–1306
99.	A. A. Slavnov, “Slavnov–Taylor identities”, Int. J. Mod. Phys., 25:5 (2010), 903–907	1 ^[x]
100.	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
101.	A. A. Slavnov, “Soft supersymmetry breaking as a spontaneous breaking in the auxiliary sector”, Theoret. and Math. Phys., 117:2 (1998), 1364–1367
102.	A. A. Slavnov, “Phase of a chiral determinant and global $\mathrm{SU}(2)$ anomaly”, Phys. Lett. B, 415:4 (1997), 390–394	1 ^[x]
103.	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
104.	A. A. Slavnov, S. A. Frolov, “Lagrangian BRST quantization and unitarity”, Theoret. and Math. Phys., 85:3 (1990), 1237–1255
105.	A. A. Slavnov, “Electromagnetic field without indefinite metric”, Theoret. and Math. Phys., 29:3 (1976), 1079–1084
106.	A. A. Slavnov, “Anomalous ward identities in renormalized perturbation theory”, Theoret. and Math. Phys., 7:1 (1971), 331–335
107.	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
108.	A. A. Slavnov, Solitons in modified Yang-Mills theory, 2014 , 9 pp., arXiv: 1406.7724
109.	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
110.	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
111.	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
112.	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
113.	A. A. Slavnov, Lorentz invariant quantization of the Yang–Mills theory free of Gribov ambiguity, 2009 , 8 pp., arXiv: 0902.1847
114.	A. A. Slavnov, “Path integral inspired gauge invariant infrared regularization”, Path integrals, World Sci. Publ., Hackensack, NJ, 2008, 146–151
115.	D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys., 155:2 (2008), 708–714
116.	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
117.	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
118.	A. A. Slavnov, “Progress in study of renormalization of theories with nontrivial internal symmetry”, Ann. Henri Poincaré, 4, suppl. 1 (2003), S247–S258
119.	A. A. Slavnov, “Simmetrii i perenormirovka”, EChAYa, 34:7 (2003), 4–29
120.	A. A. Slavnov, “Renormalization by enforcing a symmetry”, Multiple facets of quantization and supersymmetry, World Sci. Publ., River Edge, NJ, 2002, 654–669
121.	A. A. Slavnov, “Bosonized formulation of field theories”, Quantization, gauge theory, and strings (Moscow, 2000), v. II, Sci. World, Moscow, 2001, 246–254
122.	A. A. Slavnov, “Regularization independent renormalization for theories with nontrivial internal symmetry”, New trends in high energy physics, Kiev, 2001, 273–282
123.	A. A. Slavnov, “Bosonized forvulation of Non–Abelian gauge theories without anticommuting variables”, New trends in high energy physics, Kiev, 2000, 158–167
124.	A. A. Slavnov, “Kovariantnaya formulirovka neabelevykh kalibrovochnykh teorii bez antikommutiruyuschikh polei”, EChAYa, 31:7A (2000), 97–103
125.	A. Slavnov, “Global quantum anomaly”, Supersymmetries and quantum symmetries (Dubna, 1997), Lecture Notes in Phys., 524, Springer, Berlin, 1999, 368–372
126.	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
127.	A. A. Slavnov, “Multifield Formulation of Lattice Gauge Theories”, Proc. Steklov Inst. Math., 226 (1999), 127–137
128.	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
129.	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
130.	A. A. Slavnov, “Path integral bosonization of fermion determinants”, Path integrals: theory and applications, Joint Inst. Nuclear Res., Dubna, 1996, 42–50
131.	A. A. Slavnov, “Fermiony na reshetke”, Problemy kvantovoi teorii polya, OIYaI, Dubna, 1996, 24–32
132.	A. A. Slavnov, “Fermions on a lattice”, Problems of quantum field theory (Alushta, 1996), Joint Inst. Nuclear Res., Dubna, 1996, 24–31
133.	A. A. Slavnov, “Bosonization of fermion determinants”, Ukraïn. Fīz. Zh., 41:3 (1996), 316–321
134.	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
135.	A. A. Slavnov, “Chiral lattice fermions”, St. Petersburg Math. J., 6:2 (1995), 407–415
136.	A. A. Slavnov, S. A. Frolov, “Quantization of Yang–Mills fields in linear gauges”, Phys. Particles Nuclei, 24:5 (1993), 597–617
137.	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
138.	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.
139.	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
140.	A. A. Slavnov, “Unitarity condition in covariant quantum field theory with indefinite metric”, Theoret. and Math. Phys., 79:3 (1989), 579–587
141.	A. A. Slavnov, “Mills theory and matrix models. Lectures”, Lectures on supermanifolds, geometrical methods & conformal groups, World Sci., 1989, 52–63
142.	A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, 2-e izd., pererab. i dop., Nauka, M., 1988 , 270 pp.
143.	A. A. Slavnov, “Effective Lagrangians, anomalies and spontaneous symmetry breaking”, Superstrings, anomalies & unification (Dubrovnik, 1986), World Sci. Publishing, Singapore, 1987, 393–416
144.	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
145.	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)
146.	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
147.	A. A. Slavnov, Nonperturbative methods in quantum field theory, Rapporteur talk at XXII International conference on high energy physics, Leipzig, 1985 , 19 pp.
148.	A. A. Slavnov, “KKhD pri nizkikh energiyakh”, Lektsii na shkole molodykh uchenykh, MGU, Moskva, 1985, 121–144
149.	A. A. Slavnov, “Recent developments in $1/N$ expansion for QCD and matrix models”, Acta. Phys. Aut. Suppl., XXV (1983), 357–396
150.	A. A. Slavnov, “Singlet variables in QCD and matrix models”, Frontiers in Physics, 83, World Sci., 1983, 26–36
151.	A. A. Slavnov, B. A. Faizullaev, “Invariant infrared regularization for supersymmetric Yang–Mills fields”, Theoret. and Math. Phys., 53:3 (1982), 1161–1164
152.	I. Ya. Arefeva, A. A. Slavnov, “Teoriya kalibrovochnykh polei”, Lektsii na XIV mezhdunarodnoi shkole molodykh uchenykh, OIYaI, Dubna, 1981, 35–100
153.	A. A. Slavnov, “Gauge invariant infrared regularization for nonabelian fields”, Physica Scripta, 23 (1981), 908–909
154.	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.
155.	A. A. Slavnov, “Symmetry preserving regularization for gauge and supergauge fields”, Superspace and supergravity, Cambridge Univ. Press, 1980, 177–185
156.	A. A. Slavnov, “Modern status of gauge felds”, Problems of quantum field theory, JINR, Dubna, 1979, 183–200
157.	A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 , 240 pp.
158.	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
159.	A. A. Slavnov, “Kalibrovochnye i superkalibrovochnye teorii polya”, Doklad na XVIII Mezhdunarodnoi konferentsii po fizike vysokikh energii (Tbilisi), OIYaI, 1977, T12–T27
160.	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
161.	A. A. Slavnov, “Supersimmetricheskie kalibrovochnye teorii”, Trudy Konferentsii po nelokalnym i nelineinym teoriyam, OIYaI, Dubna, 1976, 24–42
162.	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
163.	A. A. Slavnov, “Perenormirovka kalibrovochno-invariantnykh teorii”, EChAYa, 5 (1974), 755–790
164.	A. A. Slavnov, Lectures on renormalization of gauge theories, Tbiisi University Publ., 1973 , 57 pp.
165.	A. A. Slavnov, “Kalibrovochnye polya”, Trudy mezhdunarodnoi shkoly molodykh uchenykh, OIYaI, Dubna, 1973, 1–69
166.	A. A. Slavnov, “Polya Yanga–Millsa s nenulevoi massoi”, Trudy II Konferentsii po nelokalnym teoriyam polya, OIYaI, Dubna, 1970, 229–245
167.	A. A. Slavnov, “Dostatochnoe uslovie perenorimiruemosti teorii vektornykh polei s nenulevoi massoi”, YaF, 8 (1968), 390–395
168.	A. A. Slavnov, O. I. Zavyalov, “Symple dynamical model for baryon resonances”, Phys. Lett., 22 (1966), 686–689
169.	A. A. Slavnov, A. D. Sukhanov, “Lagranzhian i gamiltonian dlya vektornoi elektrodinamiki v predstavlenii vzaimodeistviya”, YaF, 4 (1966), 425–431
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
172.	A. A. Slavnov, “On the theory of Green's functions of vector fields”, Soviet Physics JETP, 17 (1963), 754–756
173.	V. S. Vladimirov, V. A. Il'in, S. M. Nikol'skii, A. A. Slavnov, N. N. Bogolyubov (Jr.), D. N. Zubarev, V. M. Millionshchikov, “Nikolaǐ Nikolaevich Bogolyubov”, Differ. Equ., 28:6 (1992), 735–736
174.	I. Ya. Aref'eva, V. M. Buchstaber, E. P. Velikhov, A. B. Zhizhchenko, V. E. Zakharov, I. A. Ibragimov, S. V. Kislyakov, V. V. Kozlov, P. P. Kulish, L. N. Lipatov, V. P. Maslov, V. A. Matveev, S. P. Novikov, Yu. S. Osipov, A. M. Polyakov, V. A. Rubakov, M. A. Semenov-Tian-Shansky, Yu. A. Simonov, Ya. G. Sinai, A. A. Slavnov, I. A. Sokolov, L. A. Takhtadzhyan, V. E. Fortov, S. L. Shatashvili, “Ludvig Dmitrievich Faddeev (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1133–1142
175.	A. M. Baldin, V. S. Vladimirov, V. G. Kadyshevskii, A. A. Logunov, V. A. Matveev, L. V. Ovsyannikov, V. A. Sadovnichii, A. A. Slavnov, A. N. Tavkhelidze, Yu. A. Trutnev, A. T. Filippov, “Dmitrii Vasil'evich Shirkov (on his seventieth birthday)”, Phys. Usp., 41:3 (1998), 305–306
176.	A. A. Logunov, A. A. Slavnov, O. I. Zavialov, O. A. Khrustalev, V. P. Mikhailov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavialov, A. G. Sergeev, V. P. Pavlov, I. Ya. Aref'eva, Yu. A. Tserkovnikov, “The 70th birthday of V. S. Vladimirov”, Theoret. and Math. Phys., 94:1 (1993), 1–2
177.	N. N. Bogolyubov, V. S. Vladimirov, A. A. Logunov, V. P. Maslov, E. F. Mishchenko, A. N. Tavkhelidze, L. D. Faddeev, A. A. Slavnov, D. V. Shirkov, V. G. Kadyshevskii, V. A. Matveev, V. A. Moskalenko, D. N. Zubarev, B. V. Medvedev, V. Ya. Fainberg, O. A. Khrustalev, I. Ya. Aref'eva, O. I. Zavialov, V. P. Pavlov, A. K. Pogrebkov, S. S. Horuzhy, “Mikhail Konstantinovich Polivanov (1930–1992)”, Theoret. and Math. Phys., 90:2 (1992), 107
178.	I. Arefeva, A. Slavnov, “Ludwig Faddeev 1934-2017”, Obituary, CERN Courier, 57:4 (2017), 55
179.	A. A. Belavin, M. I. Vysotsky, S. S. Gershtein, V. I. Zakharov, B. L. Ioffe, D. I. Kazakov, V. T. Kim, V. A. Matveev, A. M. Polyakov, V. A. Rubakov, A. A. Slavnov, V. S. Fadin, “In memory of Lev Nikolaevich Lipatov”, Phys. Usp., 60:12 (2017), 1306–1307
180.	V. V. Belokurov, V. V. Voronov, D. I. Kazakov, V. A. Matveev, I. N. Meshkov, Yu. Ts. Oganessian, V. A. Rubakov, A. N. Skrinsky, A. A. Slavnov, G. V. Trubnikov, Yu. A. Trutnev, V. E. Fortov, “In memory of Dmitrii Vasil'evich Shirkov”, Phys. Usp., 59:4 (2016), 419–420
181.	S. S. Gershtein, S. P. Denisov, A. M. Zaitsev, S. V. Ivanov, V. A. Matveev, M. A. Mestvirishvili, V. A. Petrov, V. A. Rubakov, V. A. Sadovnichy, A. A. Slavnov, A. N. Skrinsky, Yu. A. Trutnev, N. E. Tyurin, “In memory of Anatoly Alekseevich Logunov”, Phys. Usp., 58:9 (2015), 927–928
182.	V. S. Vladimirov, V. V. Voronov, V. G. Kadyshevskii, D. I. Kazakov, A. A. Logunov, V. A. Matveev, V. A. Rubakov, V. A. Sadovnichii, A. A. Slavnov, A. N. Sisakyan, A. N. Tavkhelidze, Yu. A. Trutnev, “Dmitrii Vasil'evich Shirkov (on his 80th birthday)”, Phys. Usp., 51:3 (2008), 311–312
183.	V. V. Voronov, A. A. Logunov, V. A. Matveev, M. D. Mateev, Yu. Ts. Oganessyan, V. A. Rubakov, A. N. Sisakyan, A. A. Slavnov, A. N. Tavkhelidze, V. Ya. Fainberg, A. T. Filippov, D. V. Shirkov, “Vladimir Georgievich Kadyshevsky (on his 70th birthday)”, Phys. Usp., 50:5 (2007), 559–560
184.	N. S. Amaglobeli, A. M. Baldin, G. T. Zatsepin, V. G. Kadyshevskii, V. M. Lobashev, N. V. Krasnikov, V. A. Matveev, V. A. Rubakov, A. N. Sisakyan, A. A. Slavnov, A. E. Chudakov, D. V. Shirkov, “Albert Nikiforovich Tavkhelidze (on his seventieth birthday)”, Phys. Usp., 44:2 (2001), 207–208
185.	V. G. Kadyshevskii, A. A. Logunov, V. A. Matveev, V. A. Rubakov, V. I. Savrin, A. A. Slavnov, V. I. Trukhin, O. A. Khrustalev, D. V. Shirkov, “In memory of Nikita Alekseevich Sveshnikov”, Phys. Usp., 41:1 (1998), 101–102
186.	A. A. Slavnov, Kurs lektsii: «Teoriya gravitatsii i astrofizika», Moskovskii institut inzhenerov aviatsii, 1981 , 27 pp.
187.	A. A. Slavnov, Kurs lektsii: «Yadernaya fizika i fizika elementarnykh chastits», Moskovskii institut inzhenerov aviatsii, 1980 , 64 pp.
188.	Matematicheskaya fizika. Problemy kvantovoi teorii polya, Sbornik statei. K 65-letiyu so dnya rozhdeniya akademika Lyudviga Dmitrievicha Faddeeva, Trudy MIAN, 226, ed. A. A. Slavnov, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 1999 , 239 pp.
189.	O. I. Zavialov, D. N. Zubarev, B. V. Medvedev, S. P. Novikov, V. P. Pavlov, A. K. Pogrebkov, A. A. Slavnov, A. D. Sukhanov, L. D. Faddeev, S. S. Horuzhy, D. V. Shirkov, “Mikhail Konstantinovich Polivanov (Obituary)”, Phys. Usp., 35:7 (1992), 623–625

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