Komsomol'sk-na-Amure, Russia

Tomsk State Pedagogical University

www.tspu.edu.ru
Komsomol'sk-na-Amure, Russia

Tomsk State Pedagogical University is a university in Tomsk, Russia. It is the successor of the Tomsk Teaching Institute founded in July 1902. The University is the oldest professional establishment for training teachers in Siberia. It was opened on the basis of Tomsk Institute of teachers. The foreign languages department started in 1939 as one of the first five departments of the University. Since that time the faculty had two major priorities in its development: training of qualified teaching staff for teaching foreign languages at schools and universities, and scientific investigations in linguistics and methodology of teaching of foreign languages. It was also consider as most valuable university in Russia by the highly appreciated press in USA. Wikipedia.

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Shapiro I.L.,University of Geneva | Shapiro I.L.,Federal University of Juiz de fora | Shapiro I.L.,Tomsk State Pedagogical University
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2015

In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by introducing an exponential form factor between the two Ricci tensors. We show that at the quantum level this theory has an infinite amount of massive unphysical states, mostly corresponding to complex poles. © 2015 The Author.


Buchbinder I.L.,Tomsk State Pedagogical University | Pletnev N.G.,RAS Sobolev Institute of Mathematics
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2015

We consider a six-dimensional (1, 0) hypermultiplet model coupled to an external field of vector/tensor system and study the structure of the low-energy effective action of this model. Manifestly a (1, 0) supersymmetric procedure of computing the effective action is developed in the framework of the superfield proper-time technique. The leading low-energy contribution to the effective action is calculated. © 2015 The Authors.


Buchbinder I.L.,Tomsk State Pedagogical University | Pletnev N.G.,RAS Sobolev Institute of Mathematics
Nuclear Physics B | Year: 2015

We consider the six-dimensional hypermultiplet, vector and tensor multiplet models in (1, 0) harmonic superspace and discuss the corresponding superfield actions. The actions for free (2, 0) tensor multiplet and for interacting vector/tensor multiplet system are constructed. Using the superfield formulation of the hypermultiplet coupled to the vector/tensor system we develop an approach to calculation of the one-loop superfield effective action and find its divergent structure. © 2015 The Authors.


Lavrov P.M.,Tomsk State Pedagogical University | Lechtenfeld O.,Leibniz University of Hanover
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2013

Gribov and Zwanziger proposed a modification of Yang-Mills theory in order to cure the Gribov copy problem. We employ field-dependent BRST transformations to generalize the Gribov-Zwanziger model from the Landau gauge to general Rξ gauges. The Gribov horizon functional is presented in explicit form, in both the non-local and local variants. Finally, we show how to reach any given gauge from the Landau one. © 2013 Elsevier B.V.


Lavrov P.M.,Tomsk State Pedagogical University | Lechtenfeld O.,Leibniz University of Hanover
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2013

We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely amount to a precise change in the gauge-fixing functional. This proves the independence of the vacuum functional under any field-dependent BRST transformation. We also give a formula for the transformation parameter functional which generates a prescribed change of gauge and evaluate it for connecting two arbitrary Rξ gauges. © 2013 Elsevier B.V.


Nojiri S.,Nagoya University | Odintsov S.D.,Catalan Institution for Research and Advanced Studies | Odintsov S.D.,Institute Of Ciencies Of Lespai Ieec Csic | Odintsov S.D.,Tomsk State Pedagogical University
Physics Reports | Year: 2011

The classical generalization of general relativity is considered as the gravitational alternative for a unified description of the early-time inflation with late-time cosmic acceleration. The structure and cosmological properties of a number of modified theories, including traditional F(R) and Hořava-Lifshitz F(R) gravity, scalar-tensor theory, string-inspired and Gauss-Bonnet theory, non-local gravity, non-minimally coupled models, and power-counting renormalizable covariant gravity are discussed. Different representations of and relations between such theories are investigated. It is shown that some versions of the above theories may be consistent with local tests and may provide a qualitatively reasonable unified description of inflation with the dark energy epoch. The cosmological reconstruction of different modified gravities is provided in great detail. It is demonstrated that eventually any given universe evolution may be reconstructed for the theories under consideration, and the explicit reconstruction is applied to an accelerating spatially flat Friedmann-Robertson-Walker (FRW) universe. Special attention is paid to Lagrange multiplier constrained and conventional F(R) gravities, for latter F(R) theory, the effective ΛCDM era and phantom divide crossing acceleration are obtained. The occurrences of the Big Rip and other finite-time future singularities in modified gravity are reviewed along with their solutions via the addition of higher-derivative gravitational invariants. © 2011 Elsevier B.V.


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.


Buchbinder I.L.,Tomsk State Pedagogical University | Stepanyantz K.V.,Moscow State University
Nuclear Physics B | Year: 2014

We construct a new version of the higher covariant derivative regularization for a general N=2 supersymmetric gauge theory formulated in terms of N=1 superfields. This regularization preserves both supersymmetries of the classical action, namely, the invariance under the manifest N=1 supersymmetry and under the second hidden on-shell supersymmetry. The regularizing N=2 supersymmetric higher derivative term is found in the explicit form in terms of N=1 superfields. Thus, N=2 supersymmetry is broken only by the gauge fixing procedure. Then we analyze the exact NSVZ β-function and prove that in the considered model its higher loop structure is determined by the anomalous dimension of the chiral superfield Φ in the adjoint representation which is the N=2 superpartner of the gauge superfield V. Using the background field method we find that this anomalous dimension is related with the anomalous dimension of the hypermultiplet and vanishes if the effective action is invariant under N=2 background supersymmetry. As a consequence, in this case the higher loop contributions to β-function also vanish. The one-loop renormalization structure in the considered regularization is also studied by the explicit calculations of the one-loop renormalization constants. © 2014 The Authors.


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

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field-antifield formalism is developed. It is based on a gauged (involving a field-dependent parameter) version of finite BRST transformations. The prescription allows one to restore the gauge-independence of the effective action at its extremals and therefore also that of the conventional S-matrix for a theory with BRST-breaking terms being additively introduced into a BRST-invariant action in order to achieve a consistency of the functional integral. We demonstrate the applicability of this prescription within the approach of functional renormalization group to the Yang-Mills and gravity theories. The Gribov-Zwanziger action and the refined Gribov-Zwanziger action for a many-parameter family of gauges, including the Coulomb, axial and covariant gauges, are derived perturbatively on the basis of finite gauged BRST transformations starting from Landau gauge. It is proved that gauge theories with soft breaking of BRST symmetry can be made consistent if the transformed BRST-breaking terms satisfy the same soft BRST symmetry breaking condition in the resulting gauge as the untransformed ones in the initial gauge, and also without this requirement. © 2014 World Scientific Publishing Company.


Reshetnyak A.,Tomsk State Pedagogical University
Nuclear Physics B | Year: 2013

We continue the construction of a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the BRST-BFV approach suggested for bosonic fields in our first article [I.L. Buchbinder, A. Reshetnyak, Nucl. Phys. B 862 (2012) 270, arXiv:1110.5044 [hep-th]]. Starting from a description of fermionic mixed-symmetry higher-spin fields in a flat space of any dimension in terms of an auxiliary Fock space associated with a special Poincare module, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincare-group representations) into a system of first-class constraints. To do this, we find, in first time, by means of generalized Verma module the auxiliary representations of the constraint subsuperalgebra, to be isomorphic due to Howe duality to osp(k|2k) superalgebra, and containing the subsystem of second-class constraints in terms of new oscillator variables. We suggest a universal procedure of finding unconstrained gauge-invariant Lagrangians with reducible gauge symmetries, describing the dynamics of both massless and massive fermionic fields of any spin. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by constraints corresponding to an irreducible Poincare-group representation. As examples of the general approach, we propose a method of Lagrangian construction for fermionic fields subject to an arbitrary Young tableaux having 3 rows, and obtain a gauge-invariant Lagrangian for a new model of a massless rank-3 spin-tensor field of spin (5/2,3/2) with first-stage reducible gauge symmetries and a non-gauge Lagrangian for a massive rank-3 spin-tensor field of spin (5/2,3/2). © 2012 Elsevier B.V.

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