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The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. I show that a global SL(2,R) symmetry of…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

We derive the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for {\it all} the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to BRST formalism.…

High Energy Physics - Theory · Physics 2009-04-08 R. P. Malik

A manifestly Lorentz invariant effective action for Yang-Mills theory depending only on commuting fields is constructed. This action posesses a bosonic symmetry, which plays a role analogous to the BRST symmetry in the standard formalism.

High Energy Physics - Theory · Physics 2009-10-31 A. A. Slavnov

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

High Energy Physics - Theory · Physics 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

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 demonstrate that the generators for the local, continuous and infinitesimal classical gauge symmetry transformations in the cases of (i) the St$\ddot u$ckelberg-modified massive Abelian 1-form and 2-form theories, and (ii) the massless…

High Energy Physics - Theory · Physics 2024-02-23 A. K. Rao , B. Chauhan , R. P. Malik

Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theories in terms of the underlying Green functions. In Yang-Mills…

High Energy Physics - Theory · Physics 2012-01-05 Reinhard Alkofer , Markus Q. Huber , Valentin Mader , Andreas Windisch

We derive the absolutely anticommuting (anti-)dual-BRST symmetry transformations for the appropriate Lagrangian densities of the (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory, under which, the total gauge-fixing term remains…

High Energy Physics - Theory · Physics 2008-12-18 R. P. Malik

We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three $(2+1)$-dimensional (3D)…

High Energy Physics - Theory · Physics 2025-07-08 S. K. Panja , E. Harikumar , R. P. Malik

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 start with a new first order gauge non-invariant formulation of massive spin-one theory and map it to a reducible gauge theory viz; abelian $B{\wedge}F$ theory by the Hamiltonian embedding procedure of Batalin, Fradkin and Tyutin(BFT).…

High Energy Physics - Theory · Physics 2009-10-31 E. Harikumar , M. Sivakumar

The entire geometric formulations of the BRST and the anti-BRST structures are worked out in presence of the Nakanishi-Lautrup field. It is shown that in the general form of gauge fixing mechanisms within the Faddeev-Popov quantization…

High Energy Physics - Theory · Physics 2020-12-18 Amir Abbass Varshovi

In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of…

High Energy Physics - Theory · Physics 2009-10-28 R. Gianvittorio , A. Restuccia , J. Stephany

We consider a non-Abelian Lee--Wick gauge theory and discuss Becchi-Rouet-Stora-Tyutin (BRST) invariance. It contains fourth-order derivative as extensions of the kinetic term, leading to massive ghosts in the theory upon quantization. We…

High Energy Physics - Phenomenology · Physics 2023-12-05 Marco Frasca , Anish Ghoshal , Alexey S. Koshelev

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

The BRST quantization of the Abelian Proca model is performed using the Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , Mu-In Park , Young-Jai Park , Sean J. Yoon

We apply the Batalin-Fradkin-Tyutin (BFT) method to the SU(2) Skyrmion to study the full symmetry structure of the model at the first class Hamiltonian level. On the other hand, we also analyze the symmetry structure of the action having…

High Energy Physics - Phenomenology · Physics 2009-10-31 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

We derive the off-shell nilpotent (fermionic) (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism for the interacting Abelian 1-form gauge theories…

High Energy Physics - Theory · Physics 2018-01-30 B. Chauhan , S. Kumar , R. P. Malik

The BRST quantization of a gauge theory in noncommutative geometry is carried out in the ``matrix derivative" approach. BRST/anti-BRST transformation rules are obtained by applying the horizontality condition, in the superconnection…

High Energy Physics - Theory · Physics 2009-10-28 Chang-Yeong Lee , Dae Sung Hwang , Yuval Ne'eman

In this paper, we consider a $D$-dimensional massive Thirring model with ($2<D<4$). We derive an extended BRST symmetry of the theory with finite field-dependent parameter. Further we compute the Jacobian of functional measure under such an…

High Energy Physics - Theory · Physics 2016-07-04 Sudhaker Upadhyay , Prince A. Ganai