Stability of renormalizable expansions in three-dimensional gravity
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Preliminary investigations are made for the stability of the 1/N expansion in three-dimensional gravity coupled to various matter fields, which are power-counting renormalizable. For unitary matters, a tachyonic pole appears in the spin-2 part of the leading graviton propagator, which implies an unstable flat space-time, unless the higher-derivative terms are introduced. As another possibility to avoid this spin-2 tachyon we propose Einstein gravity coupled to nonunitary matter. It turns out that a tachyon appears in the spin-0 or -1 part for any linear gauges in this case, but it can be removed if nonminimally coupled scalars are included. We suggest an interesting model which may be stable and may possess an ultraviolet fixed point.
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There is some evidence that (2+1)-dimensional gravity is renormalizable in the 1/N expansion when coupled to scalar fields.
“For example, there is some evidence that (2 + 1)-dimensional gravity is renormalizable in the 1/N expansion when coupled to scalar fields [174, 205].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [205]
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- W. Israel (Cambridge University Press 1979) 790, and references therein
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Mizoguchi, S., & Yamamoto, H.
- Affiliations
- Universität Hamburg (DE)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1994-12-15
- Volume
- 50
- Issue
- 12
- Pages
- 7351-7362
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2032565328
- Cited by
- 1
- References
- 0
- FWCI
- 0.00
- 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)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Alexander von Humboldt-Stiftung
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- 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
- Keywords
- three-dimensional gravity, 1/N expansion, renormalizability, graviton propagator, higher derivative terms, ultraviolet fixed point, general relativity
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