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.

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

References in corpus (5)

• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• Cosmology of Extended Proca-Nuevo
• Duality for massive spin two theories in arbitrary dimensions
• The spin jumping in the context of a QCD effective model
• Hamiltonian dynamics of 5D Kalb-Ramond theories with a compact dimension

Cited by in corpus (4)

• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Canonical aspects of pregeometric vector-based first order gauge theory
• Renormalized Kalb-Ramond model: duality and generalized potential
• A note on higher rank descriptions of massless and massive spin-1 particles