Ultraviolet Modifications of Dispersion Relations in Effective Field Theory
Open accessAbstract
The existence of a fundamental ultraviolet scale, such as the Planck scale, may lead to modifications of the dispersion relations for particles at high energies in some scenarios of quantum gravity. We apply effective field theory to this problem and identify dimension-5 operators that do not mix with dimensions 3 and 4 and lead to cubic modifications of dispersion relations for scalars, fermions, and vector particles. Further we show that, for electrons, photons and light quarks, clock comparison experiments bound these operators at 10(-5)/M(Pl).
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Rotationally invariant n = 1, 3 type dispersion cannot be imposed universally on photons.
“For example, rotationally invariant n = 1, 3 type dispersion cannot be imposed universally on photons [90, 230].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [230]
Assuming all lower dimension operators are absent, the constraint on the dimension-five operators is |ηR − ηL| < 4.
“Assuming that all lower dimension operators are absent, the constraint on the dimension five operators is |ηR − ηL| < 4 [230].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [230]
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- Authors
- Myers, R. C., & Pospelov, M.
- Affiliations
- Perimeter Institute (CA)
- University of Sussex (GB)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-05-28
- Volume
- 90
- Issue
- 21
- Pages
- 211601-211601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035891576
- Cited by
- 499
- References
- 23
- Citations by year
- 2026: 12 · 2025: 25 · 2024: 20 · 2023: 16 · 2022: 16 · 2021: 13 · 2020: 16 · 2019: 26 · 2018: 26 · 2017: 22 · 2016: 19 · 2015: 27 · 2014: 22 · 2013: 27 · 2012: 20
- FWCI
- 18.18
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear 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 › Black Holes and Theoretical Physics
- Keywords
- modified dispersion relations, quantum gravity, effective field theory, dimension-five operators, Planck scale, energetic particles, photons, electrons, light quarks
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