Threshold configurations in the presence of Lorentz violating dispersion relations
Open accessAbstract
A general characterization of lower and upper threshold configurations for two particle reactions is determined under the assumptions that the single particle dispersion relations $E(|\mathbf{p}|)$ are rotationally invariant and monotonic in $|\mathbf{p}|,$ and that energy and momentum are conserved and additive for multiple particles. It is found that at a threshold the final particle momenta are always parallel and the initial momenta are always antiparallel. The occurrence of new phenomena not occurring in a Lorentz invariant setting, such as upper thresholds and asymmetric pair production thresholds, is explained, and an illustrative example is given.
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At a threshold for a particle with momentum p1, the configuration is the minimum energy configuration of all other particles that conserves momentum.
“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 [215]
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Cites
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“[14], where it was found that there is never an upper threshold and there can be a lower threshold which is either symmetric or asymmetric, depending on the values of ξ and η.”
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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
Self-citationJacobson, T., Liberati, S., & Mattingly, D. (2003) · Physical Review D · doi:10.1103/physrevd.67.124011 · Cited by 240 · see citing works
Self-citation
- Authors
- Mattingly, D., Jacobson, T., & Liberati, S.
- 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
- W2086600970
- Cited by
- 61
- References
- 17
- Citations by year
- 2025: 5 · 2024: 3 · 2023: 4 · 2022: 2 · 2021: 2 · 2018: 1 · 2017: 1 · 2015: 1 · 2014: 3 · 2013: 3 · 2012: 4
- FWCI
- 3.42
- 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)
- SDL (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
- Lorentz violation, dispersion relation, energy-momentum conservation
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