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) …

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 …

Path-integral expressions for one-particle propagators in scalar and fermionic field theories
are derived, for arbitrary mass. This establishes a direct connection between field theory and …

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 …

Within the framework of Becchi‐Rouet‐Stora‐Tyutin (BRST) approach, we discuss mainly
the fermionic (ie, off‐shell nilpotent)(anti‐) BRST,(anti‐) co‐BRST, and some discrete dual …

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) …

BRST-methods provide elegant and powerful tools for the construction and analysis of
constrained systems, including models of particles, strings and fields. These lectures provide …

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 …

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 …