Renormalized Kalb-Ramond model: duality and generalized potential

Abstract

Considering the recent advances, the weak correlation between the massive Kalb-Ramond and the Proca interacting models is investigated by means of a set of complementary quantum field techniques beyond the semi-classical approach. A consistent framework to discuss the abrupt degree of freedom variation in the massless limit is established. In this manner, the Stueckelberg procedure is generalized for the present case to derive Ward-Takahashi constraints. By adding couplings with fermionic matter fields, even the weak dual correlation is broken due to the explicit form of the radiative corrections. However, considering the master action approach, the fermionic 1(PI) functions of the Proca electrodynamics are reproduced in all orders of perturbation. A well-defined procedure to eliminate non-desirable modes emerging from quantum corrections is successfully applied for this model. Last, but not least, we prove that this structure can also provide a spin interaction which is relevant even at macroscopic distances, being a completion for a recently proposed confining potential. This is based on an interacting theory in compliance with renormalizability.