Tests of Lorentz and CPT symmetry with hadrons and nuclei

J P Noordmans

doi:10.1088/1742-6596/952/1/012020

Abstract

Using chiral-perturbation-theory techniques, we derive the low-energy effective Lagrangian in terms of pions and nucleons that corresponds to a selected set of dimension-five Lorentz- and CPT-violation quark and gluon operators. The form of the effective operators is determined by the symmetry properties of the original Lagrangian. Using the pion-nucleon Lagrangian, we find the Lorentz-violating contributions to comagnetometer experiments. This results in stringent limits on some of the parameters. For some other parameters we find that the best bounds will come from nucleon-nucleon interactions, and we derive the relevant nucleon-nucleon potential. These considerations imply possible new opportunities for spin-precession experiments involving for example the deuteron.

Highlights

The unification of general relativity with quantum mechanics is one of the main outstanding problems in theoretical physics today
We derive the effective Lagrangian in terms of pions and nucleons for a selected set of dimension-five operators involving quarks and gluons. This derivation is based on chiral-symmetry properties of the operators, as well as on their behaviour under C,P, and T transformations
In Ref. [3] we focused on a set of dimension five quark-gluon operators, which are relevant at an energy scale of about 1 GeV

Summary

Introduction

The unification of general relativity with quantum mechanics is one of the main outstanding problems in theoretical physics today. Using the effective operators in terms of the relevant degrees of freedom at low energies – the pion and nucleon fields – it becomes possible to put stringent constraints on quark and gluon parameters for Lorentz violation. [3] we started to remedy this situation, by applying chiral perturbation theory techniques to the Lorentz-violating operators (see Refs.[4] and [5] for more work in this direction).

Results

Conclusion