Modified Stückelberg Formalism: Free Massive Abelian 2-Form Theory in 4D

We demonstrate that the celebrated Stückelberg formalism is modified in case of a massive four (3 + 1)-dimensional (4D) Abelian 2-form theory due to presence self-duality discrete symmetry theory. The latter entails upon 4D gauge become model Hodge within framework Becchi–Rouet–Stora–Tyutin (BRST) where there existence set (anti-)co-BRST transformations corresponding usual nilpotent (anti-)BRST transformations. exist any arbitrary dimension spacetime for Stückelberg-modified modification technique backed by precise mathematical arguments from differential geometry exterior derivative and duality operator play decisive roles. version remains invariant under which also establish deep connection between off-shell have clarified simple trick using equations motion remove higher terms appropriate Lagrangian densities so our can consistent.