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Cited by 240Noncommutative and Quantum Gravity TheoriesAstrophysics and Cosmic PhenomenaCosmology and Gravitation Theories

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

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Jacobson, T., Liberati, S., Mattingly, D.·2003·Physical Review D
DOI 10.1103/physrevd.67.124011
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Abstract

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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  1. G. T. Zatsepin, 1966, JETP Lett., 4, 78
  2. F. A. Aharonian, 1999, Astron. Astrophys., 349, 11

Cited by

Sorted by citations

  • 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

  • Analogue Gravity

    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-citation

  • Modern 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-citation

  • Quantum-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…”

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Metadata

Authors
Jacobson, T., Liberati, S., & Mattingly, D.
Affiliations
University of Maryland, College Park (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2003-06-11
Volume
67
Issue
12
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.67.124011
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
Licence
link.aps.org/licenses/aps-default-license (vor)
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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