Kalb-Ramond scalar QED multiple vacua

Abstract

We study a model of interacting vector and Kalb-Ramond gauge fields in a non-trivial Higgs vacuum generated by a charged and a neutral scalar field. The system admits different vacua for different v.e.v. of the two Higgs fields. Our primary interest in this paper regards the "mixed phase" where both the photon and the Kalb-Ramond acquire a mass. In this phase we compute the interaction potential energy between static test charges. It turns out that the limit in which the photon becomes massless, while the Kalb-Ramond remains massive, leads to a Cornell confining potential between test charges.