One-form Abelian gauge theory as the Hodge theory

RP Malik - International Journal of Modern Physics A, 2007 - World Scientific
We demonstrate that the two (1+ 1)-dimensional (2D) free 1-form Abelian gauge theory
provides an interesting field theoretical model for the Hodge theory. The physical …

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 unifying framework for BRST and BRST-related symmetries

BP Mandal, SK Rai, R Thibes - Europhysics Letters, 2023 - iopscience.iop.org
We propose a general framework to study BRST-related transformations. We investigate
different forms of BRST and BRST-related symmetries, realized within a prototypical first …

A field-theoretic model for Hodge theory

S Gupta, RP Malik - The European Physical Journal C, 2008 - Springer
We demonstrate that the four-dimensional (4D)((3+ 1)-dimensional) free Abelian 2-form
gauge theory presents a tractable field-theoretical model for the Hodge theory where 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) …

New topological field theories in two dimensions

RP Malik - Journal of Physics A: Mathematical and General, 2001 - iopscience.iop.org
It is shown that two (1+ 1)-dimensional (2D) free Abelian and self-interacting non-Abelian
gauge theories (without any interaction with matter fields) belong to a new class of …

Dual BRST symmetry for QED

RP Malik - Modern Physics Letters A, 2001 - World Scientific
We show the existence of a co (dual)-BRST symmetry for the usual BRST invariant
Lagrangian density of an Abelian gauge theory in two dimensions of space–time where a U …

Hodge decomposition theorem for Abelian two-form gauge theory

E Harikumar, RP Malik… - Journal of Physics A …, 2000 - iopscience.iop.org
We show that the Becchi-Rouet-Stora-Tyutin (BRST)/anti-BRST invariant (3+ 1)-dimensional
two-form gauge theory has further nilpotent symmetries (dual BRST/anti-dual BRST) that …

Superfield approach to symmetries for matter fields in Abelian gauge theories

RP Malik - Journal of Physics A: Mathematical and General, 2004 - iopscience.iop.org
The derivation of the nilpotent Becchi–Rouet–Stora–Tyutin (BRST)-and anti-BRST
symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been …