The important class of Lorentz invariant distributions of several variables is described (see 113(1)). The bosonic string amplitudes are described (see 113(2)). The equivalence of Euclidean and Wightman field theories is proved (see 113(3)). The correlation functions of some Abelian gauge theories on the lattice are calculated (see 113(4,5)).
Biography
Graduated from Physical Faculty of M. V. Lomonosov Moscow University (MSU) in 1971 (department of quantum statistics). Ph.D. thesis was defended in 1974. D.Sci. thesis was defended in 1993. A list of my works contains 40 titles.
Main publications:
Zinoviev Yu. M. On Lorentz Invariant Distributions // Commun. Math. Phys., 1976, 47, 33–42.
Zinoviev Yu. M. Partially U(1) Compactified Scalar Massless Field on the Compact Riemann Surface and the Bosonic String Amplitudes // Commun. Math. Phys., 1993, 151, 327–353.
Zinoviev Yu. M. Equivalence of Euclidean and Wightman Field Theories // Commun. Math. Phys., 1995, 174, 1–27.
Zinoviev Yu. M. U(1) Gauge Theory on a Torus // Commun. Math. Phys., 1995, 168, 227–247.
Yu. M. Zinoviev, “Pfaffian and the Kac–Ward Formula in the Two-Dimensional Ising Model”, Proc. Steklov Inst. Math., 251 (2005), 132–145
2003
13.
Yu. M. Zinoviev, “Spontaneous Magnetization in the Two-Dimensional Ising Model”, Theoret. and Math. Phys., 136:3 (2003), 1280–1296
2002
14.
Yu. M. Zinoviev, “$L$-function and Ising model”, Int. J. Theor. Phys. Group Theory Nonlinear Opt., 9:2 (2002), 151–184
15.
Yu. M. Zinoviev, “The Three-Dimensional ${\mathbb Z}_{2}$ Electrodynamics and the Two-Dimensional Ising Model”, Theoret. and Math. Phys., 132:1 (2002), 1000–1011
16.
Yu. M. Zinoviev, “Gravity and Lorentz Force”, Theoret. and Math. Phys., 131:2 (2002), 729–746
2001
17.
Yu. M. Zinoviev, “Ising Model and $L$-Function”, Theoret. and Math. Phys., 126:1 (2001), 66–80
2000
18.
Yu. M. Zinoviev, “The Onsager Formula”, Proc. Steklov Inst. Math., 228 (2000), 286–306
1999
19.
N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The two-dimensional Ising model and the Kac–Ward determinant”, Izv. Math., 63:4 (1999), 707–727
20.
N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward Determinant”, Proc. Steklov Inst. Math., 225 (1999), 165–182
21.
Yu. M. Zinoviev, “On the Wilson criterion”, Theoret. and Math. Phys., 118:1 (1999), 54–59
1998
22.
N. P. Dolbilin, Yu. M. Zinoviev, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward combinatorial method”, Russian Math. Surveys, 53:6 (1998), 1346–1347
1996
23.
Phys. Atomic Nuclei, 59:12 (1996), 2192–2197
24.
Phys. Atomic Nuclei, 59:12 (1996), 2185–2191
25.
N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “Homological Properties of Dimer Configurations for Lattices on Surfaces”, Funct. Anal. Appl., 30:3 (1996), 163–173
1995
26.
Yu. M. Zinoviev, “Equivalence of Euclidean and Wightman field theories”, Comm. Math. Phys., 174:1 (1995), 1–27
Yu. M. Zinoviev, “U(1) gauge theory on a torus”, Constructive physics (Palaiseau, 1994), Lecture Notes in Phys., 446, Springer, Berlin, 1995, 187–200
28.
Yu. M. Zinoviev, “Equivalence of the Euclidean and Wightman field theories”, Constructive physics (Palaiseau, 1994), Lecture Notes in Phys., 446, Springer, Berlin, 1995, 131–148
29.
Yu. M. Zinoviev, “Dual versions of $N=2$ supergravity and spontaneous supersymmetry breaking”, Classical Quantum Gravity, 12:6 (1995), 1355–1362
Yu. M. Zinoviev, “Partially U(1) compactified scalar massless field on the compact Riemann surface and the bosonic string amplitudes”, Comm. Math. Phys., 151:2 (1993), 327–353
Yu. M. Zinoviev, “Lorentz covariant tempered distributions in two-dimensional space-time”, Theoret. and Math. Phys., 79:1 (1989), 341–350
1986
40.
Yu. M. Zinov'ev, “An inversion formula for the Laplace transform of generalized functions with supports in the light cone”, Dokl. Akad. Nauk SSSR, 286:2 (1986), 276–279
1985
41.
Yu. M. Zinoviev, “Inversion formulas for the Laplace transform”, Theoret. and Math. Phys., 65:2 (1985), 1079–1088
42.
Yu. M. Zinoviev, “Inversion formulas for the laplace transform I. The octant”, Theoret. and Math. Phys., 65:1 (1985), 980–984
1984
43.
Yu. M. Zinoviev, “$\mathbf R$-gauge theories and Wilson's criterion”, Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics (Leipzig, 1983), Teubner-Texte Math., 67, Teubner, Leipzig, 1984, 135–138
1982
44.
Yu. M. Zinoviev, “$\mathbf R$-Gauge theories”, Theoret. and Math. Phys., 50:2 (1982), 135–143
1981
45.
Yu. M. Zinoviev, “Lattice $\mathbf R$-gauge theories”, Theoret. and Math. Phys., 49:2 (1981), 951–956
1980
46.
Yu. M. Zinoviev, “Duality in Abelian gauge theories on a lattice”, Theoret. and Math. Phys., 43:3 (1980), 481–490
1979
47.
Yu. M. Zinoviev, “Nonunitary representations of $MN(2)$ and the group $ax+b$ and Laplace transformation”, Theoret. and Math. Phys., 38:2 (1979), 102–109
1978
48.
Yu. M. Zinoviev, “Lorentz-invariant distributions and the Laplace transform”, Proceedings of the International Conference on Operator Algebras, Ideals, and their Applications in Theoretical Physics (Leipzig, 1977), Teubner, Leipzig, 1978, 301–307
1977
49.
Yu. M. Zinoviev, A. N. Leznov, M. V. Saveliev, “Solutions of classical gause field theory equations with an arbitrary value of the topological charge”, Theoret. and Math. Phys., 32:3 (1977), 837–841
Yu. M. Zinoviev, “On Lorentz invariant distributions”, Proceedings of the Oji Seminar on Algebraic Analysis and the RIMS Symposium on Algebraic Analysis (Kyoto Univ., Kyoto, 1976), Publ. Res. Inst. Math. Sci., 12, supplement, 1976, 491–495
1975
52.
Yu. M. Zinoviev, V. N. Sushko, S. S. Horuzhy, “Equivalence properties of coherent superselection sectors and description of physical symmetries in algebraic axiomatic theory”, Mezhdunarodnaya konferentsiya po matematicheskim problemam kvantovoi teorii polya i kvantovoi statistiki. Chast I. Aksiomaticheskaya kvantovaya teoriya polya, Sbornik dokladov (Moskva, 12–17 dekabrya 1972), Tr. MIAN SSSR, 135, 1975, 127–136
1974
53.
Yu. M. Zinoviev, V. N. Sushko, “Physical symmetries in a theory of local observables of the $P$-class”, Theoret. and Math. Phys., 18:1 (1974), 9–18
1973
54.
Yu. M. Zinoviev, “$CPT$-invariance in the theory of local observables”, Theoret. and Math. Phys., 16:1 (1973), 642–650
55.
Yu. M. Zinoviev, “On group extensions connected with the Poincaré group”, Theoret. and Math. Phys., 15:1 (1973), 416–418
Equations of electromagnetic interaction Yu. M. Zinoviev Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 9, 2009 14:00
4.
Релятивистский квантовый закон Кулона Yu. M. Zinoviev Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS June 11, 2008 14:00
Lorentz-covariant distributions Yu. M. Zinoviev Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS May 16, 2007 14:00
2011
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