The DOI matches its Crossref record; 112 of the 114 references it cites were found in a registry or an index.
Threshold effects and Planck scale Lorentz violation: Combined constraints from high energy astrophysics
Open accessAbstract
Recent work has shown that dispersion relations with Planck scale Lorentz violation can produce observable effects at energies many orders of magnitude below the Planck energy M. This opens a window on physics that may reveal quantum gravity phenomena. It has already constrained the possibility of Planck scale Lorentz violation, which is suggested by some approaches to quantum gravity. In this work we carry out a systematic analysis of reaction thresholds, allowing unequal deformation parameters for different particle dispersion relations. The thresholds are found to have some unusual properties compared with standard ones, such as asymmetric momenta for pair creation and upper thresholds. The results are used together with high energy observational data to determine combined constraints. We focus on the case of photons and electrons, using vacuum \ifmmode \check{C}\else \v{C}\fi{}erenkov, photon decay, and photon annihilation processes to determine order unity constraints on the parameters controlling $O(E/M)$ Lorentz violation. Interesting constraints for protons (with photons or pions) are obtained even at $O({(E/M)}^{2}),$ using the absence of vacuum \ifmmode \check{C}\else \v{C}\fi{}erenkov and the observed GZK cutoff for ultrahigh energy cosmic rays. A strong \ifmmode \check{C}\else \v{C}\fi{}erenkov limit using atmospheric PeV neutrinos is possible for $O(E/M)$ deformations provided the rate is high enough. If detected, ultrahigh energy cosmological neutrinos might yield limits at or even beyond $O({(E/M)}^{2}).$
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“For n = 2 with CPT preserved we have [154]. If we set d = 0 in Equation (39) so that there is no helicity dependence, this translates to the constraint kF/2 + c ≤ 4 × 10−16.”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [154]
In the citing paper
“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 [154]
In the citing paper
“For n = 2 the constraint is [154], where is the coefficient for one of the electron helicities. In terms of the mSME parameters this condition can be written as c − |d| − kF/2 ≤ 10−16.”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [154]
In the citing paper
“If d ≠ 0 then both helicities of electrons/positrons must satisfy this bound since the photon has a decay channel into every possible combination of electron/positron helicity. The corresponding limit is kF/2 + (c ± d) ≤ 4 · 10−16.”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [154]
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Cites
End to the Cosmic-Ray Spectrum?
Greisen, K. I. (1966) · Physical Review Letters · doi:10.1103/physrevlett.16.748 · Cited by 2,981
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Colladay, D., & Kostelecký, V. A. (1997) · Physical Review D · doi:10.1103/physrevd.55.6760 · Cited by 1,779
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Lorentz Invariance with an Invariant Energy Scale
Magueijo, J., & Smolin, L. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.190403 · Cited by 1,226
AMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802001330 · Cited by 1,186
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Carroll, S. M., Harvey, J. A., Kostelecký, V. A., Lane, C. D., & Okamoto, T. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.141601 · Cited by 983
Flagged first, then by citations
2 of the 114 references couldn’t be matched to a known paper.
Research works printed but not linked: 2
- G. T. Zatsepin, 1966, JETP Lett., 4, 78
- F. A. Aharonian, 1999, Astron. Astrophys., 349, 11
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The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
Gravity, Lorentz violation, and the standard model
Kostelecký, V. A. (2004) · Physical Review D · doi:10.1103/physrevd.69.105009 · Cited by 1,368
Barceló, C., Liberati, S., & Visser, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-12 · Cited by 1,163
“Remarkably the last years have seen a large wealth of work in testing the effects of such dispersion relations and in particular strong constraints have been cast by making use of high energy astrophysics observations (see for example [3, 82, 195, 194, 196, 197, 261, 355] and references therein).”
BackgroundSelf-citationModern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
“The same analysis can be applied in this case, although for more general Lorentz violation there are other scenarios where Čerenkov radiation occurs even though the speed condition is not met (see below) [154].”
BackgroundInfluentialSelf-citationQuantum-Spacetime Phenomenology
Giovanni Amelino-camelia, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-5 · Cited by 886
“This is a very powerful tool for quantum-spacetime phenomenology [327, 38, 73, 463, 512, 364, 307, 494], and, in fact, at the beginning of this review, I chose the evaluation of the threshold energy for photopion production, p+ γCMBR → p+ π, as the basis for illustrating how the sensitivity levels that are within our…”
Metadata
- Authors
- Jacobson, T., Liberati, S., & Mattingly, D.
- Affiliations
- University of Maryland, College Park (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-06-11
- Volume
- 67
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2064950588
- Cited by
- 240
- References
- 114
- Citations by year
- 2026: 5 · 2025: 6 · 2024: 5 · 2023: 10 · 2022: 9 · 2021: 11 · 2020: 6 · 2019: 4 · 2018: 5 · 2017: 9 · 2016: 7 · 2015: 6 · 2014: 10 · 2013: 9 · 2012: 9
- FWCI
- 14.76
- 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) (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- SDL (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 › Nuclear and High Energy Physics › Astrophysics and Cosmic Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- Lorentz violation, Planck scale, dispersion relation, response threshold, quantum gravity, photon decay, photon annihilation, pair production, GZK cutoff, ultra-high-energy cosmic rays, atmospheric neutrinos, PeV neutrinos, protons, pion
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