Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps

Abstract

Applications of the general theory of quantum electrodynamics with Lorentz- and CPT-violating operators of mass dimensions up to six are presented to Penning-trap experiments comparing charge-to-mass ratios between particles and antiparticles. Perturbation theory is used to derive Lorentz- and CPT-violating contributions to the energy levels and cyclotron frequencies of confined particles and antiparticles. We show that whether the experimental {\it interpreted} quantity $(|q|/m{)}_{\overline{w}}/(|q|/m{)}_w-1$ is a clean measure of a CPT test depends on the context of the relevant theory. Existing experimental results of charge-to-mass ratio comparisons are used to obtain first-time constraints on 69 coefficients for Lorentz and CPT violation.

arXiv commentaccepted in Phys. Rev. D

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• Quantum logic inspired techniques for spacetime-symmetry tests with (anti-)protons
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Tree-level unitarity, causality and higher-order Lorentz and CPT violation
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• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen