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 …

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 …

Abelian 2-form gauge theory: special features

RP Malik - Journal of Physics A: Mathematical and General, 2003 - iopscience.iop.org
It is shown that the four (3+ 1)-dimensional (4D) free Abelian 2-form gauge theory provides
an example of (i) a class of field theoretical models for the Hodge theory, and (ii) a possible …

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 …

Cohomological aspects of Abelian gauge theory

RP Malik - Journal of Physics A: Mathematical and General, 2000 - iopscience.iop.org
We discuss some aspects of cohomological properties of a two-dimensional free Abelian
gauge theory in the framework of the BRST formalism. We derive the conserved and …

BRST cohomology and Hodge decomposition theorem in abelian gauge theory

RP Malik - International Journal of Modern Physics A, 2000 - World Scientific
We discuss the Becchi–Rouet–Stora–Tyutin (BRST) cohomology and Hodge decomposition
theorem for the two-dimensional free U (1) gauge theory. In addition to the usual BRST …

Novel symmetries in the modified version of two dimensional Proca theory

T Bhanja, D Shukla, RP Malik - The European Physical Journal C, 2013 - Springer
By exploiting Stueckelberg's approach, we obtain a gauge theory for the two-dimensional,
that is,(1+ 1)-dimensional (2D) Proca theory and demonstrate that this theory is endowed …

Topological features in non-Abelian gauge theory

RP Malik - Modern Physics Letters A, 1999 - World Scientific
We discuss the BRST cohomology and exhibit a connection between the Hodge
decomposition theorem and the topological properties of a two-dimensional free non …

[HTML][HTML] Nilpotent symmetries for QED in superfield formalism

RP Malik - Physics Letters B, 2004 - Elsevier
In the framework of superfield approach, we derive the local, covariant, continuous and
nilpotent (anti-) BRST and (anti-) co-BRST symmetry transformations on the U (1) gauge …