Finiteness of quantum gravity coupled with matter in three spacetime dimensions
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When gravity is coupled to fermions and a U(1) Chern-Simons gauge theory, renormalizability is apparently lost, although Anselmi argued that tuning coupling constants to exact values can restore renormalizability and make the theory finite.
“This is apparently no longer the case when gravity is coupled to fermions and a U(1) Chern-Simons gauge theory [22], although Anselmi has argued that if coupling constants are tuned to exact values, renormalizability can be restored, and in fact the theory can be made finite [21].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [21]
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Research works printed but not linked: 5
- [46]46. [5] D. Anselmi, Renormalization of quantum gravity coupled with matter in three dimensions, Nucl. Phys. B in press, hep-th/0309249. · arXiv
- [7][7] S. Weinberg, Ultraviolet divergences in quantum theories of gravitation, in An Einstein cen- tenary survey, Edited by S. Hawking and W. Israel, Cambridge University Press, Cambridge 1979.
- [8][8] A good reference for supersymmetry in the language of superfields is S.J. Gates,Jr., W. Siegel, M. Rocek and M.T. Grisaru, Superspace, or one-thousand and one lessons in super symmetry, Addison-Wesley, 1983. 20 http://arxiv.org/abs/hep-th/0309249 · arXiv
- [9][9] D. Anselmi, Consistent irrelevant deformations of interacting conformal field theories, JHEP 0310 (2003) 045 and hep-th/0309251. · arXiv
- [10][10] A. Blasi, N. Maggiore and S.P. Sorella, Nonrenormalization properties of the Chern–Simons action coupled to matter, Phys. Lett. B 285 (1992) 54 and hep-th/9204045. 21 http://arxiv.org/abs/hep-th/0309251 http://arxiv.org/abs/hep-th/9204045 · arXiv
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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
- Anselmi, D.
- Affiliations
- University of Pisa (IT)
- Corresponding author
- Anselmi, Damiano
- ORCID
- Anselmi, Damiano
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2004-05
- Volume
- 687
- Issue
- 1-2
- Pages
- 124-142
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2026772608
- Cited by
- 10
- References
- 0
- Citations by year
- 2015: 1
- FWCI
- 1.46
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CINECA IRIS Institutial research information system (University of Pisa) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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 › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- quantum gravity, finiteness, conformal field theory, beta function, loop expansion, energy expansion, field redefinitions, anomalous dimensions, effective Planck mass, Chern-Simons theory, four-fermion coupling, two-loop order, massless fermions, renormalization
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