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A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

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…

High Energy Physics - Theory · Physics 2014-12-03 Alexander Reshetnyak

We generalize the BRST transformations in Abelian rank-2 tensor field theory by allowing the parameter to be finite and field dependent and show that such transformations play crucial role in studying the Abelian 2-form gauge theory in…

High Energy Physics - Theory · Physics 2013-11-26 Sudhaker Upadhyay , Bhabani Prasad Mandal

Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green's functions for a Yang--Mills theory with composite and background fields are introduced, including the generating…

High Energy Physics - Theory · Physics 2022-12-29 Pavel Yu. Moshin , Alexander A. Reshetnyak , Ricardo A. Castro

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

Using the technique of finite field dependent BRST transformations we show that the classical massive Yang-Mills theory and the pure Yang-Mills theory whose gauge symmetry is broken by a gauge fixing term are identical from the view point…

High Energy Physics - Theory · Physics 2009-10-31 Rabin Banerjee , Bhabani Prasad Mandal

We study the field/antifield formulation of pure Yang Mills theory in the framework of finite field dependent BRST transformation. We show that the generating functionals corresponding to different solutions of quantum master equation are…

High Energy Physics - Theory · Physics 2015-05-13 Sumit Kumar Rai , Bhabani Prasad Mandal

A Lagrangian BRST quantization for generic gauge theories in general irreducible non-Abelian hypergauges is proposed on a basis of the multilevel Batalin--Tyutin formalism and a special BV--BFV dual description for a reducible gauge model…

High Energy Physics - Theory · Physics 2019-04-16 Alexander A. Reshetnyak

In this paper we discuss the absolutely anticommuting nilpotent symmetries for perturbative quantum gravity in general curved spacetime in linear and non-linear gauges. Further, we analyze the finite field-dependent BRST (FFBRST)…

General Relativity and Quantum Cosmology · Physics 2013-11-25 Sudhaker Upadhyay

We consider the BRST invariant Gribov-Zwanziger theory with appropriate horizon term in Batalin-Vilkovisky formalism. The usual infinitesimal BRST transformation is generalized by considering the parameter finite and field dependent. We…

High Energy Physics - Theory · Physics 2012-07-30 Sudhaker Upadhyay , Bhabani Prasad Mandal

In this paper we discuss the (anti-)BRST symmetries and $W$-algebra of higher derivative theories of relativistic particles satisfying general gauge conditions. Using this formalism, the connection between the (anti-)BRST symmetries and…

High Energy Physics - Theory · Physics 2013-09-18 Rabin Banerjee , Biswajit Paul , Sudhaker Upadhyay

We analyse in detail the local BRST cohomology in Einstein-Yang-Mills theory using the antifield formalism. We do not restrict the Lagrangian to be the sum of the standard Hilbert and Yang-Mills Lagrangians, but allow for more general…

High Energy Physics - Theory · Physics 2015-06-26 Glenn Barnich , Friedemann Brandt , Marc Henneaux

The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain the off-shell nilpotent and absolutely anticommuting (anti-) BRST as well as (anti-) co-BRST symmetry transformations in the context of the Lagrangian description…

High Energy Physics - Theory · Physics 2010-01-21 R. P. Malik , B. P. Mandal , S. K. Rai

A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator…

High Energy Physics - Theory · Physics 2021-03-05 Čestmir Burdík , Alexander A. Reshetnyak

We develop the finite field-dependent BRST (FFBRST) transformation for arbitrary spin-s conformal field theories. We discuss the novel features of the FFBRST transformation in these systems. To illustrate the results we consider the spin-1…

High Energy Physics - Theory · Physics 2015-04-21 Sudhaker Upadhyay , Bhabani Prasad Mandal

We extend previous work on antifield dependent local BRST cohomology for matter coupled gauge theories of Yang-Mills type to the case of gauge groups that involve free abelian factors. More precisely, we first investigate in a model…

High Energy Physics - Theory · Physics 2018-06-13 Glenn Barnich , Nicolas Boulanger

By treating the bulk-quantized Yang-Mills theory as a constrained system we obtain a consistent gauge-fixed BRST hamiltonian in the minimal sector. This provides an independent derivation of the 5-d lagrangian bulk action. The ground state…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Rutenburg

I briefly review the Gribov ambiguity of Yang-Mills theory, some of its features and attempts to control it, in particular the Gribov-Zwanziger proposal to restrict the functional integration in the Landau gauge to the Gribov region. This…

High Energy Physics - Theory · Physics 2015-06-18 Olaf Lechtenfeld

Using the general notions of Batalin, Fradkin, Fradkina and Tyutin to convert second class systems into first class ones, we present a gauge invariant formulation of the massive Yang-Mills theory by embedding it in an extended phase space.…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , J. Barcelos-Neto

We study Hamiltonian form of unfree gauge symmetry where the gauge parameters have to obey differential equations. We consider the general case such that the Dirac-Bergmann algorithm does not necessarily terminate at secondary constraints,…

High Energy Physics - Theory · Physics 2020-12-07 V. A. Abakumova , S. L. Lyakhovich