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Related papers: Off-shell nilpotent finite BRST/anti-BRST transfor…

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We consider the Gribov-Zwanziger (GZ) theory with appropriate horizon term which exhibits the nilpotent BRST invariance. This infinitesimal BRST transformation has been generalized by allowing the parameter to be finite and field dependent…

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

Finite field-dependent BRST (FFBRST) transformations were constructed by integrating infinitesimal BRST transformation in a closed form. Such a generalized transformations have been extended in various branch of physics and found many…

High Energy Physics - Theory · Physics 2016-01-05 Sudhaker Upadhyay , Bhabani Prasad Mandal

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

The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role in the quantization of gauge theories. The BRST transformation is also very important tool in characterizing the various renormalizable field theoretic models. The…

High Energy Physics - Theory · Physics 2013-08-06 Sudhaker Upadhyay

We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29, 1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021 (2015) and extend the class of finite BRST-antiBRST transformations with odd-valued…

High Energy Physics - Theory · Physics 2016-07-14 Pavel Yu. Moshin , Alexander A. Reshetnyak

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

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

We continue the study of finite BRST-antiBRST transformations for general gauge theories in Lagrangian formalism initiated in [arXiv:1405.0790[hep-th]], with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters, and find…

High Energy Physics - Theory · Physics 2014-12-02 Pavel Yu. Moshin , Alexander A. Reshetnyak

We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the Freedman-Townsend (FT) model of topologically massive non-Abelian theory by exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the existence of some novel…

High Energy Physics - Theory · Physics 2012-08-03 R. P. Malik

We study finite field dependent BRST-BFV transformations for dynamical systems with first- and second-class constraints within the generalized Hamiltonian formalism. We find explicitly their Jacobians and the form of a solution to the…

High Energy Physics - Theory · Physics 2015-07-16 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The off-shell nilpotent BRST charge and the BRST invariant effective action for non-abelian BF topological theories over D-dimensional manifolds are explicitly constructed. These theories have the feature of being reducible with exactly D-3…

High Energy Physics - Theory · Physics 2016-09-06 M. I. Caicedo , R. Gianvittorio , A. Restuccia , J. Stephany

We continue our study of finite BRST-antiBRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790[hep-th] and arXiv:1406.0179[hep-th]], with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting…

High Energy Physics - Theory · Physics 2015-02-03 Pavel Yu. Moshin , Alexander A. Reshetnyak

We study systematically finite BRST-BFV transformations in the generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of…

High Energy Physics - Theory · Physics 2016-03-16 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical non-Abelian 2-form gauge theory within the framework of geometrical superfield…

High Energy Physics - Theory · Physics 2014-11-21 R. P. Malik

We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the…

High Energy Physics - Theory · Physics 2017-07-20 Pavel Yu. Moshin , Sudhaker Upadhyay , Ricardo A. Castro

We study systematically finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field…

High Energy Physics - Theory · Physics 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST symmetry transformations corresponding to the non-Yang-Mills symmetry transformations of (2 + 1)- dimensional Jackiw-Pi…

High Energy Physics - Theory · Physics 2013-02-01 Saurabh Gupta , R. Kumar

The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the trace of…

High Energy Physics - Theory · Physics 2009-10-22 F. De Jonghe , R. Siebelink , W. Troost , S. Vandoren , P. van Nieuwenhuizen , A. Van Proeyen

We derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations for any arbitrary D-dimensional St$\ddot u$ckelberg-modified massive Abelian 3-form theory within the framework of augmented version of…

High Energy Physics - Theory · Physics 2022-08-24 A. K. Rao , R. P. Malik

We derive the off-shell nilpotent (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism for the four (3+1)-dimensional (4D)…

High Energy Physics - Theory · Physics 2023-02-02 S. Kumar , B. Chauhan , A. Tripathi , R. P. Malik