Abstract
An overview of recent progress on testing Lorentz and CPT symmetry using Penning traps is presented. The theory of quantum electrodynamics with Lorentz-violating operators of mass dimensions up to six is summarized. Dominant shifts in the cyclotron and anomaly frequencies of the confined particles and antiparticles due to Lorentz and CPT violation are derived. Existing results of the comparisons of charge-to-mass ratios and magnetic moments involving protons, antiprotons, electrons, and positrons are used to constrain various coefficients for Lorentz violation.
Highlights
We provide an overview of recent progress on searching for Lorentz- and CPT-violating signals using Penning traps and provide the most updated constraints on the coefficients for Lorentz violation that are relevant to these experiments
We summarize the theory developed in [21] of Lorentz-violating quantum electrodynamics with operators of mass dimension d ≤ 6 and derive the energy shifts for particles and antiparticles confined in Penning traps due to Lorentz and CPT violation
The cylindrical symmetry of the Penning trap is correctly reflected by the fact that the results (6) and (10) only depend on index “0”, “3”, and “11+22”
Summary
For Penning-trap experiments measuring charge-to-mass ratios and magnetic moments of confined particles or antiparticles, both the minimal and nonminimal SME can produce various measurable Lorentz- and CPT-violating effects via shifts in the cyclotron and anomaly frequencies. These effects in general can depend on sidereal time and differ between particles and antiparticles. An extension to the nonminimal SME by including Lorentz-violating operators of mass dimensions up to six was recently made in [21], in which analysis of the magnetic moment comparisons between particles and antiparticles using Penning traps was performed.
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