Canonical analysis of Kalb-Ramond-Proca duality

TL;DR

This paper demonstrates that the canonical quantization of massive Kalb-Ramond and Curtright-Freund models yields the same theory as Proca and Klein-Gordon models, exploring duality with interactions and coordinate ambiguity.

Contribution

It establishes the equivalence of massive dual models through canonical quantization and analyzes the role of coordinate choices in their duality with interactions.

Findings

Canonical quantization leads to equivalent theories for dual models.

Duality persists with interactions when considering Feynman rules.

Ambiguity in coordinate choices underpins the equivalence of models without gauge symmetry.

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.