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Tomsk, Russia

Tomsk State University, TSU is a public research university located in Siberia, Russia. It was founded in 1880 in Tomsk, Russia, and is the oldest university in Russian Asia. TSU opened in 1888 with only one department, the medical faculty, which separated in 1930, now forms the Siberian State Medical University. At present, there are 23 departments with 23,000 students. TSU is one of the Russian-39, which marks it as an official National Research University and a top-15 Russian Leading universities . Wikipedia.

Moshin P.Y.,Tomsk State University | Reshetnyak A.A.,Tomsk State Pedagogical University
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2014

We continue the study of finite BRST-antiBRST transformations for general gauge theories in Lagrangian formalism initiated in [1], with a doublet λa, a=1, 2, of anticommuting Grassmann parameters, and find an explicit Jacobian corresponding to this change of variables for constant λa. This makes it possible to derive the Ward identities and their consequences for the generating functional of Green's functions. We announce the form of the Jacobian (proved to be correct in [31]) for finite field-dependent BRST-antiBRST transformations with functionally-dependent parameters, λa=saΛ, induced by a finite even-valued functional Λ(ϕ, π, λ) and by the generators sa of BRST-antiBRST transformations, acting in the space of fields ϕ, antifields ϕa *ϕ and auxiliary variables πa, λ. On the basis of this Jacobian, we present and solve a compensation equation for Λ, which is used to achieve a precise change of the gauge-fixing functional for an arbitrary gauge theory. We derive a new form of the Ward identities, containing the parameters λa, and study the problem of gauge-dependence. The general approach is exemplified by the Freedman-Townsend model of a non-Abelian antisymmetric tensor field. © 2014 The Authors. Source

Sharapov A.A.,Tomsk State University
International Journal of Modern Physics A | Year: 2014

The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any Lagrange structure gives rise to a covariant Poisson bracket on the space of solutions to the classical equations of motion, be they Lagrangian or not. The bracket generalize the well-known Peierls' bracket construction and make a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics. © World Scientific Publishing Company. Source

Sharapov A.A.,Tomsk State University
International Journal of Modern Physics A | Year: 2015

We introduce the concept of a variational tricomplex, which is applicable both to variational and nonvariational gauge systems. Assigning this tricomplex with an appropriate symplectic structure and a Cauchy foliation, we establish a general correspondence between the Lagrangian and Hamiltonian pictures of one and the same (not necessarily variational) dynamics. In practical terms, this correspondence allows one to construct the generating functional of a weak Poisson structure starting from that of a Lagrange structure. As a byproduct, a covariant procedure is proposed for deriving the classical BRST charge of the BFV formalism by a given BV master action. The general approach is illustrated by the examples of Maxwell's electrodynamics and chiral bosons in two dimensions. © 2015 World Scientific Publishing Company. Source

Samsonov B.F.,Tomsk State University
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | Year: 2013

One of the simplest non-Hermitian Hamiltonians, first proposed by Schwartz in 1960, that may possess a spectral singularity is analysed from the point of view of the non-Hermitian generalization of quantum mechanics. It is shown that the η operator, being a second-order differential operator, has supersymmetric structure. Asymptotic behaviour of the eigenfunctions of a Hermitian Hamiltonian equivalent to the given non-Hermitian one is found. As a result, the corresponding scattering matrix and cross section are given explicitly. It is demonstrated that the possible presence of a spectral singularity in the spectrum of the non-Hermitian Hamiltonian may be detected as a resonance in the scattering cross section of its Hermitian counterpart. Nevertheless, just at the singular point, the equivalent Hermitian Hamiltonian becomes undetermined. © 2013 The Author(s) Published by the Royal Society. All rights reserved. Source

Leshchinskiy S.V.,Tomsk State University
Quaternary International | Year: 2012

The paleoecological analysis of over 11,000 mammoth remains from Kraków Spadzista Street (B) site (24-23 ka BP) has demonstrated that over 50% of them show destructive changes (osteoporosis, osteofibrosis, articular diseases and others). Similar lesions have been revealed on bones of Siberian and European mammoths, and also on North American mastodons. The extinction of the North-Eurasian megafauna is supposed to be connected with changes of the geochemical landscapes at the end of Pleistocene. © 2012 Elsevier Ltd and INQUA. Source

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