Lorentz violation in a uniform gravitational field

TL;DR

This paper develops a method to derive the nonrelativistic Hamiltonian for Standard-Model Extension matter in a uniform gravitational field, revealing new spin-dependent terms and discussing their phenomenological implications.

Contribution

It introduces a novel calculation method for the nonrelativistic Hamiltonian that includes previously unknown spin-dependent terms in a gravitational context.

Findings

Hamiltonian matches previous results in certain limits

New spin-dependent terms identified

Brief discussion of phenomenological implications

Abstract

We present a method to calculate the nonrelativistic hamiltonian for the minimal Standard-Model Extension matter sector in a uniform gravitational field. The resulting hamiltonian coincides with earlier results in the corresponding limits but it also includes spin-dependent terms that were previously unknown. The phenomenology associated with this hamiltonian is briefly discussed.