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.
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
3.
Yu. M. Zinoviev, “Duality in Abelian gauge theories on a lattice”, Theoret. and Math. Phys., 43:3 (1980), 481–490
4.
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
Yu. M. Zinoviev, “$\mathbf R$-Gauge theories”, Theoret. and Math. Phys., 50:2 (1982), 135–143
17.
Yu. M. Zinoviev, “Spontaneous Magnetization in the Two-Dimensional Ising Model”, Theoret. and Math. Phys., 136:3 (2003), 1280–1296
18.
Yu. M. Zinoviev, “Ising Model and $L$-Function”, Theoret. and Math. Phys., 126:1 (2001), 66–80
19.
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
20.
Yu. M. Zinoviev, “Lorentz-covariant distributions with spectral conditions”, Theoret. and Math. Phys., 156:3 (2008), 1247–1267
21.
Yu. M. Zinoviev, “Gravity and Lorentz Force”, Theoret. and Math. Phys., 131:2 (2002), 729–746
22.
Yu. M. Zinoviev, “The Onsager Formula”, Proc. Steklov Inst. Math., 228 (2000), 286–306
23.
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
24.
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, “Inversion formulas for the Laplace transform”, Theoret. and Math. Phys., 65:2 (1985), 1079–1088
27.
Yu. M. Zinoviev, “Pfaffian and the Kac–Ward Formula in the Two-Dimensional Ising Model”, Proc. Steklov Inst. Math., 251 (2005), 132–145
28.
Yu. M. Zinoviev, “Inversion formulas for the laplace transform I. The octant”, Theoret. and Math. Phys., 65:1 (1985), 980–984
29.
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
30.
Yu. M. Zinoviev, “On group extensions connected with the Poincaré group”, Theoret. and Math. Phys., 15:1 (1973), 416–418
31.
Yu. M. Zinoviev, “Causal electromagnetic interaction equations”, J. Math. Phys., 52:2 (2011), 022302 , 22 pp.
32.
Yu. M. Zinoviev, Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields, 2008 , 18 pp., arXiv: 0809.3287
33.
Yu. M. Zinoviev, “Vacuum expectation values of quantum fields”, Theoret. and Math. Phys., 157:1 (2008), 1399–1419
34.
Yu. M. Zinoviev, “Lorentz covariant distributions with spectral conditions”, XXVI Workshop on Geometrical Methods in Physics, AIP Conf. Proc., 956, Amer. Inst. Phys., Melville, NY, 2007, 126–137
35.
Yu. M. Zinoviev, “Massive $N=1$ supermultiplets with arbitrary superspins”, Nuclear Phys. B, 785:1-2 (2007), 98–114
Yu. M. Zinoviev, “$L$-function and Ising model”, Int. J. Theor. Phys. Group Theory Nonlinear Opt., 9:2 (2002), 151–184
38.
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
39.
Yu. M. Zinoviev, “On the Wilson criterion”, Theoret. and Math. Phys., 118:1 (1999), 54–59
40.
Phys. Atomic Nuclei, 59:12 (1996), 2192–2197
41.
Phys. Atomic Nuclei, 59:12 (1996), 2185–2191
42.
Yu. M. Zinoviev, “U(1) gauge theory on a torus”, Constructive physics (Palaiseau, 1994), Lecture Notes in Phys., 446, Springer, Berlin, 1995, 187–200
43.
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
44.
Theoret. and Math. Phys., 92:3 (1992), 1055–1062
45.
Yu. M. Zinoviev, “Self-interaction of abelian vector fields”, Phys. Lett. B, 262:2-3 (1991), 285–287
46.
L. Chekhov, Yu. Zinoviev, “$p$-adic string compactified on a torus”, Lett. Math. Phys., 20:3 (1990), 211–219
47.
Soviet J. Nuclear Phys., 49:6 (1989), 1098–1100
48.
Yu. M. Zinoviev, “Lorentz covariant tempered distributions in two-dimensional space-time”, Theoret. and Math. Phys., 79:1 (1989), 341–350
49.
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
50.
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
51.
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
52.
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
53.
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
54.
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
55.
Yu. M. Zinoviev, “$CPT$-invariance in the theory of local observables”, Theoret. and Math. Phys., 16:1 (1973), 642–650
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
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