Noether theorem and nilpotency property of the (Anti-) BRST charges in the BRST formalism: a brief review

AK Rao, A Tripathi, B Chauhan, RP Malik - Universe, 2022 - mdpi.com
In some of the physically interesting gauge systems, we show that the application of the
Noether theorem does not lead to the deduction of the Becchi–Rouet–Stora–Tyutin (BRST) …

Constraints and conserved charges for modified massive and massless Abelian 1-form and 2-form theories: a brief review

AK Rao, B Chauhan, RP Malik - The European Physical Journal Plus, 2024 - Springer
We demonstrate that the generators for the local, continuous and infinitesimal classical
gauge symmetry transformations in the cases of (1) the Stückelberg-modified massive …

A 3D field-theoretic example for Hodge theory

AK Rao, RP Malik - Europhysics Letters, 2024 - iopscience.iop.org
We focus on the continuous symmetry transformations for the three (2+ 1)-dimensional (3D)
system of a combination of the free Abelian 1-form and 2-form gauge theories within the …

Rigid rotor as a toy model for Hodge theory

S Gupta, RP Malik - The European Physical Journal C, 2010 - Springer
We apply the superfield approach to the toy model of a rigid rotor and show the existence of
the nilpotent and absolutely anticommuting Becchi–Rouet–Stora–Tyutin (BRST) and anti …

Abelian p-form (p= 1, 2, 3) gauge theories as the field theoretic models for the Hodge theory

R Kumar, S Krishna, A Shukla… - International Journal of …, 2014 - World Scientific
Taking the simple examples of an Abelian 1-form gauge theory in two (1+ 1)-dimensions, a 2-
form gauge theory in four (3+ 1)-dimensions and a 3-form gauge theory in six (5+ 1) …

Abelian 2-form gauge theory: superfield formalism

RP Malik - The European Physical Journal C, 2009 - Springer
We derive the off-shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST
symmetry transformations for all the fields of a free Abelian 2-form gauge theory by …

A massive field-theoretic model for Hodge theory

S Krishna, R Kumar, RP Malik - Annals of Physics, 2020 - Elsevier
Within the framework of Becchi–Rouet–Stora–Tyutin (BRST) formalism, we show that the
four (3+ 1)-dimensional (4D) massive Abelian 2-form gauge theory (without any interaction …

Modified Proca theory in arbitrary and two dimensions

AK Rao, RP Malik - Europhysics Letters, 2021 - iopscience.iop.org
We demonstrate that the standard Stückelberg-modified Proca theory (ie, a massive Abelian
1-form theory) respects the classical gauge and corresponding quantum (anti-) BRST …

Duality in a 3D Field-Theoretic Model

R Kumar, RP Malik - arXiv preprint arXiv:2411.07849, 2024 - arxiv.org
We demonstrate the duality symmetry between the Abelian 1-form and 2-form basic gauge
fields in the context of a three (2+ 1)-dimensional (3D) combined system of the field-theoretic …

The model for self-dual chiral bosons as a Hodge theory

S Upadhyay, BP Mandal - The European Physical Journal C, 2011 - Springer
Abstract We consider (1+ 1) dimensional theory for a single self-dual chiral boson as a
classical model for gauge theory. Using the Batalin–Fradkin–Vilkovisky (BFV) technique, the …