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High-energy tests of Lorentz invariance
Open accessAbstract
We develop a perturbative framework with which to discuss departures from exact Lorentz invariance and explore their potentially observable ramifications. Tiny noninvariant terms introduced into the standard model Lagrangian are assumed to be renormalizable (dimension \ensuremath{\leqslant}4), invariant under $\mathrm{SU}(3)\ensuremath{\bigotimes}\mathrm{SU}(2)\ensuremath{\bigotimes}U(1)$ gauge transformations, and rotationally and translationally invariant in a preferred frame. There are a total of 46 independent CPT-even perturbations of this kind, all of which preserve anomaly cancellation. They define the energy-momentum eigenstates and their maximal attainable velocities in the high-energy limit. The effects of these perturbations increase rapidly with energy in the preferred frame, more rapidly than those of CPT-odd perturbations. Our analysis of Lorentz-violating kinematics reveals several striking new phenomena that are relevant both to cosmic-ray physics (e.g., by undoing the Greisen, Zatsepin, and Kuz'min cutoff) and neutrino physics (e.g., by generating novel types of neutrino oscillations). These may lead to new and sensitive high-energy tests of special relativity.
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“Theorem 1: The configuration at a threshold for a particle with momentum p1 is the minimum energy configuration of all other particles that conserves momentum.”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [88]
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“A complimentary constraint to the GZK analysis can be derived by recognizing that 1019 − 1020 eV protons reach us — a vacuum Čerenkov effect must be forbidden up to the highest observed UHECR energy [88, 154, 119].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [88]
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Kamp, N., & Putnam, G. (2026) · Physical review. D/Physical review. D. · doi:10.1103/rmh8-yqz7 · Cited by 1
A phase-space noncommutative picture of nuclear matter
Orfeu Bertolami, A., & Mariji, H. (2015) · International Journal of Modern Physics A · doi:10.1142/s0217751x15501912 · Cited by 1
Extended Linear and Nonlinear Lorentz Transformations and Superluminality
Faroughy, D. (2013) · Advances in High Energy Physics · doi:10.1155/2013/760916 · Cited by 1
“Consequently, the earlier objection of Cohn and Glashow, which was based on a detailed ] pair bremsstrahlung analysis in [30–32], to the large value of 𝛿 when first reported by OPERA, is no longer of an issue for the much smaller 𝛿 indicated by the latest OPERA data reported last July and December.”
BackgroundInfluentialThe mysteries of the highest energy cosmic rays
Kovesi-Domokos, S., & Domokos, G. (2005) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/j.nuclphysbps.2005.07.007 · Cited by 1
On the aberration of light from a moving retroreflector
Wing, W. H. (2003) · Optics Communications · doi:10.1016/s0030-4018(03)01345-2 · Cited by 1
Metadata
- Authors
- Coleman, S., & Glashow, S. L.
- Affiliations
- Harvard University (US)
- ORCID
- Glashow, Sheldon L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1999-04-28
- Volume
- 59
- Issue
- 11
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2149558418
- Cited by
- 1,149
- References
- 35
- Citations by year
- 2026: 14 · 2025: 26 · 2024: 28 · 2023: 14 · 2022: 27 · 2021: 28 · 2020: 29 · 2019: 38 · 2018: 37 · 2017: 41 · 2016: 34 · 2015: 49 · 2014: 46 · 2013: 39 · 2012: 69
- FWCI
- 37.79
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- Lorentz violation, preferred frame, cosmic ray propagation, GZK cutoff, neutrino oscillations
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