Abstract

This is an overview of recent publications on the prospects of searching for nonminimal Lorentz-violating effects in atomic spectroscopy experiments. The article discusses the differences in the signals for Lorentz violation in the presence of minimal and nonminimal operators and what systems are more sensitive to certain types of Lorentz-violating operators.

Highlights

  • Lorentz and CPT symmetry are two of the greatest principles in modern physics

  • In the last few decades, the exactness of the symmetry has been put into question, and its violation has been pursued as a candidate low energy signal for a quantum theory of gravity

  • The potential of Lorentz and CPT symmetry as a low energy signal was first proposed following the realization that realistic mechanisms for spontaneous Lorentz- and CPT-breaking in string theory are possible [1,2]

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Summary

Introduction

Lorentz and CPT symmetry are two of the greatest principles in modern physics. In the last few decades, the exactness of the symmetry has been put into question, and its violation has been pursued as a candidate low energy signal for a quantum theory of gravity. The indexes in the coefficients refer to the properties of the Lorentz violation operators, and Table 1 contains brief explanations of the indices most relevant to the discussion presented in this work. The term observable effective coefficients means that the Lorentz-violating shift to the observables in nonrelativistic experiments can be expressed as linear combinations of the nonrelativistic coefficients. The nonrelativistic coefficients are the linear combination of coefficients for Lorentz violation of arbitrary mass dimension multiplied by powers of the fermion’s mass mw. Lorentz violation effects in atomic systems usually result in bounds on the nonrelativistic coefficients for Lorentz violation Exceptions to this rule are Lorentz-violating models that consider contributions due to the electromagnetic fields [37] or boost effects [35,36]; see Section 8

Hierarchy and the Lorentz-Violating Perturbation
Hyperfine Transitions and Anisotropic Terms
Isotropic Terms and Optical Transitions
The Problem of Testing CPT Symmetry Using Different Frames
Difference in the Signals for Minimal and Nonminimal Lorentz-Violating Terms
Best Bounds on and Prospects for Coefficients for Lorentz Violation from
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