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An analysis of the state space in the BRST--quantization in the Schroedinger representation is performed on the basis of the results obtained earlier in the framework of the Fock space representation. It is shown that to get satisfactory…

High Energy Physics - Theory · Physics 2009-10-28 Kh. S. Nirov , A. V. Razumov

We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is…

High Energy Physics - Theory · Physics 2018-08-01 I. L. Buchbinder , P. M. Lavrov

In this paper we develop an irreducible antifield BRST-anti-BRST formalism for reducible gauge theories.

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , I. Negru , S. O. Saliu

Finite field transforms have many applications and, in many cases, can be implemented with a low computational complexity. In this paper, the Z Transform over a finite field is introduced and some of its properties are presented.

Number Theory · Mathematics 2018-01-26 R. M. Campello de Souza , H. M. de Oliveira , D. Silva

Bearing in mind BV quantization of gauge gravitation theory, we extend general covariant transformations to the BRST ones.

High Energy Physics - Theory · Physics 2007-05-23 D. Bashkirov , G. Sardanashvily

We develop the BRST approach to Lagrangian formulation for massive bosonic and massless fermionic higher spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the…

High Energy Physics - Theory · Physics 2007-05-23 I. L Buchbinder , V. A. Krykhtin

The main aim of this work is to relate integrability in QFT with a complete particle interpretation directly to the principle of causal localization, circumventing the standard method of finding sufficiently many conservation laws. Its…

Mathematical Physics · Physics 2012-12-03 Bert Schroer

Starting from the requirement that a Lagrangian field theory be invariant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done…

High Energy Physics - Theory · Physics 2009-10-22 P. H. Damgaard , F. De Jonghe

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories…

High Energy Physics - Theory · Physics 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

The BRST formalism has played a fundamental role in the construction of bosonic closed string backgrounds, ie. the stringy analogs of classical solutions to the field equations of general relativity. The concept of a string background has…

High Energy Physics - Theory · Physics 2008-02-03 Bong H. Lian , Gregg J. Zuckerman

We use finite field-dependent BRS transformations (FFBRS) to connect the Green functions in a set of two otherwise unrelated gauge choices. We choose the Lorentz and the axial gauges as examples. We show how the Green functions in axial…

High Energy Physics - Theory · Physics 2009-10-31 S. D. Joglekar , A. Misra

In this paper we will discuss Faddeev-Popov method for field theories with a gauge symmetry in an abstract way. We will then develope a general formalism for dealing with the BRST symmetry. This formalism will make it possible to analyse…

General Physics · Physics 2014-08-29 Suhail Ahmad

By means of a generalized quartet mechanism we show in a model independent way that a BRST quantization on an inner product space leads to physical states of the form |ph>=e^{[Q, \psi]} |ph>_0 where Q is the nilpotent BRST operator, \psi a…

High Energy Physics - Theory · Physics 2019-08-17 Igor Batalin , Robert Marnelius

We discuss BRST and anti--BRST transformations for an Abelian antisymmetric gauge field in 4D and find that, in order for them to anticommute, we have to impose a condition on the auxiliary fields. This condition is similar to the…

High Energy Physics - Theory · Physics 2009-02-23 L. Bonora , R. P. Malik

Recent formal solutions of BRST quantization on inner product spaces within the operator method are shown to lead to an unexpected interpretation of the conventional path integral formulation. The relation between the Hamiltonians in the…

High Energy Physics - Theory · Physics 2010-11-01 Robert Marnelius

In this paper the novel features of Yokoyama gaugeon formalism are stressed out for the theory of perturbative quantum gravity in Einstein curved spacetime. The quantum gauge transformations for the theory of perturbative gravity are…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Sudhaker Upadhyay

We reconsider the problem of BRST quantization of a mechanics with infinitely reducible first class constraints. Following an earlier recipe [Phys. Lett. B 381, 105, (1996)], the original phase space is extended by purely auxiliary…

High Energy Physics - Theory · Physics 2009-10-31 Stefano Bellucci , Anton Galajinsky

We propose a natural extension of the BRST-antiBRST superfield covariant scheme in general coordinates. Thus, the coordinate dependence of the basic scalar and tensor fields of the formalism is extended from the base supermanifold to the…

High Energy Physics - Theory · Physics 2009-01-07 D. M. Gitman , P. Yu. Moshin , J. L. Tomazelli

We give a brief overview of the BRST approach to the gauge invariant Lagrangian formulation for free massive higher-spin bosonic fields focusing on two specific aspects. First, the theory is considered in four dimensional flat space in…

High Energy Physics - Theory · Physics 2025-05-19 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field.…

High Energy Physics - Theory · Physics 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia
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