The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
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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Citations
Cites
End to the Cosmic-Ray Spectrum?
Greisen, K. I. (1966) · Physical Review Letters · doi:10.1103/physrevlett.16.748 · Cited by 2,981
Lorentz-violating extension of the standard model
Colladay, D., & Kostelecký, V. A. (1998) · Physical Review D · doi:10.1103/physrevd.58.116002 · Cited by 2,403
CPT violation and the standard model
Colladay, D., & Kostelecký, V. A. (1997) · Physical Review D · doi:10.1103/physrevd.55.6760 · Cited by 1,779
Limits on a Lorentz- and parity-violating modification of electrodynamics
Carroll, S. M., Field, G. B., & Jackiw, R. (1990) · Physical Review D · doi:10.1103/physrevd.41.1231 · Cited by 1,315
Anomalous Ward Identities in Spinor Field Theories
Bardeen, W. A. (1969) · Physical Review · doi:10.1103/physrev.184.1848 · Cited by 1,093
Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation
Adler, S. L., & Bardeen, W. A. (1969) · Physical Review · doi:10.1103/physrev.182.1517 · Cited by 1,064
High Energy Neutrinos from Cosmological Gamma-Ray Burst Fireballs
Waxman, E., & Bahcall, J. N. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2292 · Cited by 1,014
Eden, R. J., Landshoff, P. V., Olive, D., Polkinghorne, J. C., & Román, P. (1967) · American Journal of Physics · doi:10.1119/1.1973770 · Cited by 984 · cited 1×
“To prove the inductive step, we need some information from the once well-known theory of Feynman-diagram singularities [38].”
MethodConsistent and covariant anomalies in gauge and gravitational theories
Bardeen, W. A., & Zumino, B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90322-5 · Cited by 700
Extension of the Cosmic-Ray Energy Spectrum beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff
Takeda, M., Hayashida, N., Honda, K., Inoue, N., Kadota, K., Kakimoto, F., Kamata, K., Kawaguchi, S., Kawasaki, Y., Kawasumi, N., et al. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.1163 · Cited by 673
Research works printed but not linked: 3
- S. L. Glashow, 1998, AIP Conf. Proc.
- A. I. Derbin, 1994, Phys. At. Nucl., 57, 222
- G. T. Zatsepin, 1966, JETP Lett., 4, 78
Cited by
Sorted by citations
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
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
“For n = 2 dispersion, a constraint of f (2) π − f (2) p < O(10) was derived in [88, 87, 10].”
BackgroundMethodInfluentialGhost Condensation and a Consistent IR Modification of Gravity
Hamed, N. A., Cheng, H. S., Luty, M. A., & Mukohyama, S. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/05/074 · Cited by 996
“µφ. (5.1) (Here we have reverted to canonical normalization for the φfield.) A systematic discussion of all possible Lorentz violating effects for standard model fields in flat space can be found in Ref. [24, 25]. Note that these couplings can be removed by field redefinitions on the fermions ψ→ eic ψφ/Fψ; however, if the s…”
BackgroundInfluentialQuantum-Spacetime Phenomenology
Giovanni Amelino-camelia, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-5 · Cited by 886
“While in some cases departures from Lorentz symmetry allow the decay of otherwise stable particles (as in the case of γ → e+e−, discussed above, for appropriate choice of values of parameters), it is indeed also possible for departures from Lorentz symmetry to either introduce a threshold value of the energy of the pa…”
BackgroundInfluential
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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