# Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation

## TL;DR

This paper investigates the quantum properties of an antisymmetric tensor field with spontaneous Lorentz violation in curved spacetime, analyzing 1-loop corrections and quantum equivalence issues.

## Contribution

It provides a first-order metric perturbation analysis of the quantization of Lorentz-violating antisymmetric tensor fields in curved spacetime, highlighting where quantum equivalence holds.

## Key findings

- Quantum equivalence holds for non-Lorentz-violating modes.
- Quantum equivalence breaks down for Lorentz-violating modes.
- First-order 1-loop corrections are evaluated using covariant effective action.

## Abstract

We study the quantization of a simple model of antisymmetric tensor field with spontaneous Lorentz violation in curved spacetime. We evaluate the 1-loop corrections at first order of metric perturbation, using a general covariant effective action approach. We revisit the issue of quantum equivalence, and find that it holds for non-Lorentz-violating modes but breaks down for Lorentz violating modes.