Lorentz violation in the matter-gravity sector

TL;DR

This paper develops a comprehensive effective field theory framework for Lorentz violation in curved spacetime and derives experimental constraints on new coefficients through various gravity experiments.

Contribution

It introduces the first general Lorentz-violating effective field theory in curved spacetime and applies it to experimental data to constrain new coefficients.

Findings

First constraints on Lorentz-violating coefficients in matter-gravity sector

Framework applicable to multiple experimental setups

Derived nonrelativistic Hamiltonian in Earth's gravitational field

Abstract

We construct the general Lorentz-violating effective field theory in curved spacetime and the corresponding nonrelativistic Hamiltonian in the Earth's gravitational field. Applying this general framework to three types of experiments, free-dropping, interferometer, and bound-state experiments, we extract first constraints on certain new coefficients in the matter-gravity sector.