Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation

We study the quantization of a simple model of antisymmetric tensor field with spontaneous Lorentz violation in curved spacetime. We evaluate the one-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.

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