Lorentz invariance violations in the interplay of quantum gravity with matter

TL;DR

This paper investigates how quantum gravity with a preferred frame can induce Lorentz invariance violations in matter fields, particularly Abelian gauge fields, and how observational constraints can limit gravitational Lorentz violations.

Contribution

It demonstrates that matter sectors cannot be shielded from Lorentz-violating effects of quantum gravity, providing a mechanism to connect observational bounds to gravitational couplings.

Findings

Quantum gravitational corrections induce Lorentz-violating couplings in Abelian gauge fields.

Observational constraints on Lorentz violation in matter can restrict gravitational Lorentz-violating parameters.

The matter sector is affected by symmetry-breaking effects from the gravitational sector.

Abstract

We explore the interplay of matter with quantum gravity with a preferred frame to highlight that the matter sector cannot be protected from the symmetry-breaking effects in the gravitational sector. Focusing on Abelian gauge fields, we show that quantum gravitational radiative corrections induce Lorentz-invariance-violating couplings for the Abelian gauge field. In particular, we discuss how such a mechanism could result in the possibility to translate observational constraints on Lorentz violation in the matter sector into strong constraints on the Lorentz-violating gravitational couplings.