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Scaling exponents in quantum gravity near two dimensions
Open accessAbstract
We formulate quantum gravity in 2 + ϵ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of oversubtraction due to the one-loop counter term. The renormalization of the gravitational dressed operators is studied and their anomalous dimensions are computed. The exact scaling exponents of the two-dimensional quantum gravity are reproduced in the strong coupling regime when we take the ϵ → 0 limit. The theory possesses the ultraviolet fixed point as long as the central charge c < 25, which separates weak and strong coupling phases. The weak coupling phase may represent the same universality class with our Universe in the sense that it contains massless gravitons if we extrapolate ϵ up to 2.
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Citations
Cited by
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
Ambjørn, J., Jurkiewicz, J., & Loll, R. (2005) · Physical Review D · doi:10.1103/physrevd.72.064014 · Cited by 422
Nonperturbative quantum gravity
Ambjørn, J., Görlich, A., Jurkiewicz, J., & Loll, R. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.007 · Cited by 383
Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
Souma, W. (1999) · Progress of Theoretical Physics · doi:10.1143/ptp.102.181 · Cited by 322
The asymptotic safety scenario in quantum gravity: an introduction
Niedermaier, M. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/18/r01 · Cited by 264
Metadata
- Authors
- Kawai, H., Kitazawa, Y., & Ninomiya, M.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1993-03
- Volume
- 393
- Issue
- 1-2
- Pages
- 280-300
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2043689755
- Cited by
- 159
- References
- 0
- FWCI
- 5.64
- Type
- journal article
- Language
- en
- Open access
- green
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- Kawai, H., Kitazawa, Y., & Ninomiya, M. (1993). Scaling exponents in quantum gravity near two dimensions. Nuclear Physics B. https://doi.org/10.1016/0550-3213(93)90246-l
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