English

Canonical analysis of Kalb-Ramond-Proca duality

High Energy Physics - Theory 2022-06-14 v2

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.

Keywords

Cite

@article{arxiv.2203.08867,
  title  = {Canonical analysis of Kalb-Ramond-Proca duality},
  author = {F. A. da Silva Barbosa},
  journal= {arXiv preprint arXiv:2203.08867},
  year   = {2022}
}

Comments

The sections were rearranged and a new argument in the path integral context was added. This preprint has not undergone peer review or any post-submission improvements or corrections