C P T Violation Implies Violation of Lorentz Invariance
Open accessAbstract
A interacting theory that violates CPT invariance necessarily violates Lorentz invariance. On the other hand, CPT invariance is not sufficient for out-of-cone Lorentz invariance. Theories that violate CPT by having different particle and antiparticle masses must be nonlocal.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
CPT violation implies Lorentz violation for local field theories.
“Conversely, however, CPT violation implies Lorentz violation for local field theories [134].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [134]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
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 · see citing works
PCT, spin and statistics and all that
Streater, R. F., & Wightman, A. S. (2001) · doi:10.1515/9781400884230 · Cited by 1,784 · see citing works
Colladay, D., & Kostelecký, V. A. (1997) · Physical Review D · doi:10.1103/physrevd.55.6760 · Cited by 1,779 · see citing works
General Principles of Quantum Field Theory
Bogolyubov, N. N., Logunov, A. A., Oksak, A. I., & Todorov, I. T. (1990) · Springer eBooks · doi:10.1007/978-94-009-0491-0 · Cited by 693 · see citing works
The general theory of quantized fields
Jost, R. (1965) · Medical Entomology and Zoology · Cited by 557 · see citing works
Kostelecký, V. A., & Lehnert, R. (2001) · Physical Review D · doi:10.1103/physrevd.63.065008 · Cited by 527 · see citing works
LSND, SN1987A, and CPT violation
Murayama, H., & Yanagida, T. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)01136-4 · Cited by 163 · see citing works
A remark on the C.T.P. theorem
Jost, R. (1957) · Cited by 134 · see citing works
Neutrinos as the messengers ofCPTviolation
Barenboim, G., Borissov, L., Lykken, J. D., & Smirnov, A. Y. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/10/001 · Cited by 130 · see citing works
Neutrinos that violate CPT, and the experiments that love them
Barenboim, G., Borissov, L., & Lykken, J. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)01597-6 · Cited by 51 · see citing works
A study of gauge-invariant non-local interactions
Chrétien, M., & Peierls, R. E. (1954) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1954.0131 · Cited by 51 · see citing works
Properties of form factors in non-local theories
Chrétien, M., & Peierls, R. E. (1953) · Il Nuovo Cimento · doi:10.1007/bf02815289 · Cited by 31 · see citing works
Can the S matrix be defined in relativistic quantum field theories with nonlocal interaction?
Marnelius, R. (1974) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.10.3411 · Cited by 29 · see citing works
Flagged first, then by citations
Research works printed but not linked: 9
- [2][2] R. Jost, Helv. Phys. Acta 30, 409 (1957). -
- [4][4] D.Colladay and V.A. Kosteleck´ y, Phys. Rev. D 55, 6760 (1997); 58, 116002 (1998). -
- [5][5] V.A. Kosteleck´ y and R. Lehnert, Phys. Rev. D 63, 065008 (2001). -
- [6][6] Proc. Meeting on CPT and Lorentz Symmetry , (World Scientific, Singapore, 1999), ed. V.A. Kosteleck´ y. -
- [7][7] H. Murayama and T. Yanagida, Phys. Lett. B 520, 263 (2001); hep-ph/0010178. - · arXiv
- [8][8] G. Barenboim, et al, JHEP 0210, 001 (2002); hep-ph/0108199. - · arXiv
- [9][9] G. Barenboim, L. Borissov and J. Lykken, Phys.Lett.B 534, 106 (2002); hepph/0201080. -
- [14][14] M. Chretien and R.E. Peierls, Nuovo Cimento 10, 668 (1953) and Proc. Roy. Soc. A 223, 468 (1954). -
- [15][15] R. Marnelius, Phys. Rev. D 10, 341 (1974) gives a later discussion of nonlocal theories.
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 · see citing works
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061 · see citing works
Quantum tests of the Einstein Equivalence Principle with the STE–QUEST space mission
Altschul, B., Bailey, Q. G., Blanchet, L., Bongs, K., Bouyer, P., Cacciapuoti, L., Capozziello, S., Gaaloul, N., Giulini, D., Hartwig, J., et al. (2015) · Advances in Space Research · doi:10.1016/j.asr.2014.07.014 · Cited by 204 · see citing works
Test of relativistic time dilation with fast optical atomic clocks at different velocities
Reinhardt, S., Saathoff, G., Buhr, H., Carlson, L. A., Wolf, A., Schwalm, D., Karpuk, S., Novotny, C., Huber, G., Zimmermann, M., et al. (2007) · Nature Physics · doi:10.1038/nphys778 · Cited by 154 · see citing works
Limits on Lorentz violation from the highest energy cosmic rays
Gagnon, O., & Moore, G. D. (2004) · Physical Review D · doi:10.1103/physrevd.70.065002 · Cited by 89 · see citing works
A Direct Road to Majorana Fields
Aste, A. (2010) · Symmetry · doi:10.3390/sym2041776 · Cited by 26 · see citing works
- Authors
- Greenberg, O. W.
- Affiliations
- University of Maryland, College Park (US)
- Corresponding author
- Greenberg, O. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-11-18
- Volume
- 89
- Issue
- 23
- Pages
- 231602-231602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1964922929
- Cited by
- 459
- References
- 13
- Citations by year
- 2026: 15 · 2025: 13 · 2024: 16 · 2023: 15 · 2022: 21 · 2021: 21 · 2020: 15 · 2019: 26 · 2018: 23 · 2017: 35 · 2016: 35 · 2015: 32 · 2014: 24 · 2013: 24 · 2012: 25
- FWCI
- 7.67
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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 violation, Lorentz violation, nonlocal theory, interacting quantum field theory
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
