Testing Lorentz Symmetry using Chiral Perturbation Theory

TL;DR

This paper derives a chiral effective Lagrangian to analyze low-energy effects of Lorentz and CPT violation in quark and gluon operators, providing bounds from experiments and suggesting future research directions.

Contribution

It introduces a method to incorporate Lorentz-violating operators into chiral perturbation theory and derives experimental bounds on these coefficients.

Findings

Established bounds on Lorentz-violating coefficients from magnetometer experiments

Proposed studying nucleon-nucleon potential for further constraints

Suggested using storage-ring experiments for light nuclei

Abstract

We consider the low-energy effects of a selected set of Lorentz- and CPT-violating quark and gluon operators by deriving the corresponding chiral effective lagrangian. Using this effective lagrangian, low-energy hadronic observables can be calculated. We apply this to magnetometer experiments and derive the best bounds on some of the Lorentz-violating coefficients. We point out that progress can be made by studying the nucleon-nucleon potential, and by considering storage-ring experiments for deuterons and other light nuclei.