Renormalized Kalb-Ramond model: Duality and generalized potential

Abstract

Considering the recent advances, the weak correlation between the massive Kalb-Ramond and the Proca models is investigated using 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 even for the massive case. 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 extra modes induced by the quantum corrections is successfully applied to this model. Last but not least, we prove that this structure can also provide a spin-dependent interaction that is relevant even at macroscopic distances, being a completion for a recently proposed confining potential.