The DOI matches its Crossref record; 46 of the 46 references it cites were found in a registry or an index.
Lorentz symmetry breaking as a quantum field theory regulator
Open accessAbstract
Perturbative expansions of quantum field theories typically lead to ultraviolet (short-distance) divergences requiring regularization and renormalization. Many different regularization techniques have been developed over the years, but most regularizations require severe mutilation of the logical foundations of the theory. In contrast, breaking Lorentz invariance, while it is certainly a radical step, at least does not damage the logical foundations of the theory. I shall explore the features of a Lorentz symmetry breaking regulator in a simple polynomial scalar field theory and discuss its implications. In particular, I shall quantify just ``how much'' Lorentz symmetry breaking is required to fully regulate the quantum theory and render it finite. This scalar field theory provides a simple way of understanding many of the key features of Ho\ifmmode \check{r}\else \v{r}\fi{}ava's recent article [Phys. Rev. D 79, 084008 (2009)] on $3+1$ dimensional quantum gravity.
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Weinberg, S. (1996) · Cambridge University Press eBooks · doi:10.1017/cbo9781139644174 · Cited by 4,377
Weinberg, S. (1995) · Cambridge University Press eBooks · doi:10.1017/cbo9781139644167 · Cited by 2,842
Quantum gravity at a Lifshitz point
Hořava, P. (2009) · Physical Review D · doi:10.1103/physrevd.79.084008 · Cited by 2,666
Lorentz-violating extension of the standard model
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Spontaneous breaking of Lorentz symmetry in string theory
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Data tables for Lorentz andCPTviolation
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Barceló, C., Liberati, S., & Visser, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-12 · Cited by 1,163
Self-citationModern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
Quantum Physics: A Functional Integral Point of View
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Cited by
Barceló, C., Liberati, S., & Visser, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-12 · Cited by 1,163
Self-citationBarceló, C., Liberati, S., & Visser, M. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-3 · Cited by 598
Self-citationTesting general relativity in cosmology
Ishak, M. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-018-0017-4 · Cited by 449
Hořava-Lifshitz gravity: a status report
Sotiriou, T. P. (2011) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/283/1/012034 · Cited by 247
Zhu, T., Wu, Q., Wang, A., & Shu, F.-W. (2011) · Physical Review D · doi:10.1103/physrevd.84.101502 · Cited by 73
Metadata
- Authors
- Visser, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2009-07-23
- Volume
- 80
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2130410028
- Cited by
- 264
- References
- 46
- FWCI
- 32.43
- Type
- journal article
- Language
- en
- Open access
- green
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