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 …

We demonstrate that the generators for the local, continuous and infinitesimal classical
gauge symmetry transformations in the cases of (1) the Stückelberg-modified massive …

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 …

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 …

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) …

We discuss BRST and anti-BRST transformations for an Abelian antisymmetric gauge field
in 4D and find that, in order for them to anticommute, we have to impose a condition on the …

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 …

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 …

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 …

We perform the constraint analysis of a three (2+ 1)-dimensional (3D) field-theoretic
example for Hodge theory (i) at the classical level within the ambit of Lagrangian …