Canonical analysis of Kalb–Ramond–Proca duality

Abstract

It is shown that the canonical quantization of the free massive Kalb–Ramond and Curtright–Freund Lagrangians leads to the same theory obtained from the canonical quantization of the free Proca and Klein–Gordon Lagrangians. The duality in the presence of interaction is explored in the context of the Feynman rules and beyond. It is pointed out that the equivalence between massive dual models without gauge symmetry is rooted in an ambiguity of coordinate choices.