The prospects are explored for testing Lorentz-and CPT-violating quantum electrodynamics in experiments with Penning traps. We present the Lagrange density of Lorentz-violating spinor electrodynamics with operators of mass dimensions up to six, and we discuss some of its properties. The theory is used to derive Lorentz-and CPT-violating perturbative shifts of the energy levels of a particle confined to a Penning trap. Observable signals are discussed for trapped electrons, positrons, protons, and antiprotons. Existing experimental measurements on anomaly frequencies are used to extract new or improved bounds on numerous coefficients for Lorentz and CPT violation, using sidereal variations of observables and comparisons between particles and antiparticles.
The theoretical prospects for quantum electrodynamics with Lorentz-violating operators of mass dimensions up to six are revisited in this work. The dominant effects due to Lorentz and CPT violation are studied in measurements of magnetic moments of particles confined in Penning traps. Using recently reported experimental results, new coefficients for Lorentz violation are constrained and existing bounds of various coefficients are improved.
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-tomass ratios between particles and antiparticles. Perturbation theory is used to derive Lorentz-and CPTviolating contributions to the energy levels and cyclotron frequencies of confined particles and antiparticles. We show that whether the experimental interpreted quantity ðjqj=mÞw=ðjqj=mÞ 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.
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