CPTand Lorentz tests in Penning traps
Open accessAbstract
A theoretical analysis is performed of Penning-trap experiments testing $\mathrm{CPT}$ and Lorentz symmetry through measurements of anomalous magnetic moments and charge-to-mass ratios. Possible $\mathrm{CPT}$ and Lorentz violations arising from spontaneous symmetry breaking at a fundamental level are treated in the context of a general extension of the $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1)$ standard model and its restriction to quantum electrodynamics. We describe signals that might appear in principle, introduce suitable figures of merit, and estimate $\mathrm{CPT}$ and Lorentz bounds attainable in present and future Penning-trap experiments. Experiments measuring anomaly frequencies are found to provide the sharpest tests of $\mathrm{CPT}$ symmetry. Bounds are attainable of approximately ${10}^{\ensuremath{-}20}$ in the electron-positron case and of ${10}^{\ensuremath{-}23}$ for a suggested experiment with protons and antiprotons. Searches for diurnal frequency variations in these experiments could also limit certain types of Lorentz violation to the level of ${10}^{\ensuremath{-}18}$ in the electron-positron system and others at the level of ${10}^{\ensuremath{-}21}$ in the proton-antiproton system. In contrast, measurements comparing cyclotron frequencies are sensitive within the present theoretical framework to different kinds of Lorentz violation that preserve $\mathrm{CPT}.$ Constraints could be obtained on one figure of merit in the electron-positron system at the level of ${10}^{\ensuremath{-}16},$ on another in the proton-antiproton system at ${10}^{\ensuremath{-}24},$ and on a third at ${10}^{\ensuremath{-}25}$ using comparisons of ${\mathrm{H}}^{\mathrm{\ensuremath{-}}}$ ions with antiprotons.
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In the mSME, the frequencies ωa and ωc both receive corrections.
“However, the frequencies ωa and ωc both receive corrections [60].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [60]
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- Authors
- Bluhm, R., Kostelecký, V. A., & Russell, N.
- Affiliations
- Colby College (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1998-04-01
- Volume
- 57
- Issue
- 7
- Pages
- 3932-3943
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2143825212
- Cited by
- 245
- References
- 33
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 5 · 2023: 5 · 2022: 7 · 2021: 2 · 2020: 3 · 2019: 9 · 2018: 7 · 2017: 2 · 2016: 11 · 2015: 11 · 2014: 16 · 2013: 12 · 2012: 13
- FWCI
- 7.98
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion, other-oa)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- IUScholarWorks (Indiana University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9503756)
- U.S. Department of Energy (DE‐FG02‐, FG0291ER40661, DEFG0291ER40661)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- CPT symmetry, Lorentz violation, Penning trap, anomalous magnetic moment, charge-to-mass ratio, spontaneous symmetry breaking, quantum electrodynamics, H+ ions, antiprotons, figure of merit
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