On the quantum equivalence of an antisymmetric tensor field with spontaneous Lorentz violation

TL;DR

This paper proves that a rank-2 antisymmetric tensor field with spontaneous Lorentz violation is quantum equivalent to a classically equivalent vector field model, including in curved spacetime, by explicitly calculating their quantum effective actions.

Contribution

It provides the first explicit proof of quantum equivalence between these models, extending previous classical results to the quantum level.

Findings

Quantum effective actions of both models are equivalent.

Quantum equivalence holds even in curved spacetime.

Identifies issues in checking quantum equivalence in curved backgrounds.

Abstract

We present an explicit proof that a minimal model of rank-2 antisymmetric field with spontaneous Lorentz violation and a classically equivalent vector field model are also quantum equivalent, by calculating quantum effective actions of both theories. We comment on the issues encountered while checking quantum equivalence in curved spacetime.