Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?
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We discuss the applicability of the argument of Collins, Pérez, Sudarsky, Urrutia and Vucetich to loop quantum gravity. This argument suggests that Lorentz violations, even ones that only manifest themselves at energies close to the Planck scale, have significant observational consequences at low energies when one considers perturbative quantum field theory and renormalization. We show that non-perturbative treatments like those of loop quantum gravity may generate deviations of Lorentz invariance of a different type than those considered by Collins et al (2004 Phys. Rev. Lett. 93 191301) that do not necessarily imply observational consequences at low energy.
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It has been shown that large LIV effects can be avoided in Euclidean field theory by replacing the non-compact Poincaré group with the Euclidean group.
“For example, such a possibility has been considered in [200], where it is shown that the large LIV effects can be avoided in the context of Euclidean field theory (the protecting mechanism being here the trading of the non-compact Poincaré group by the Euclidean group).”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [200]
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- Authors
- Gambini, R., Rastgoo, S., & Pullin, J.
- Affiliations
- Universidad de la República de Uruguay (UY)
- Louisiana State University (US)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2011-06-28
- Volume
- 28
- Issue
- 15
- Pages
- 155005
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1987210445
- Cited by
- 52
- References
- 17
- Citations by year
- 2025: 2 · 2024: 2 · 2023: 3 · 2021: 2 · 2020: 3 · 2019: 2 · 2018: 2 · 2017: 3 · 2016: 4 · 2015: 4 · 2014: 6 · 2013: 9 · 2012: 10
- FWCI
- 6.12
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Civil War Book Review (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0650715)
- John Templeton Foundation
- Agencia Nacional de Investigación e Innovación
- T.L.L Temple Foundation
- 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
- Lorentz violation, loop quantum gravity, quantum gravity phenomenology, renormalization, non-perturbative effects, Planck scale
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