We apply Lie algebra deformation theory to the problem of identifying the stable form of the
quantum relativistic kinematical algebra. As a warm up, given Galileo's conception of …

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

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 …

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 …

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 …

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 …