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Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
Open accessAbstract
The exact renormalization group equation for pure quantum gravity is used to derive the nonperturbative \ensuremath{\beta}-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert truncation. The resulting coupled differential equations are evaluated for a sharp cutoff function. The features of these flow equations are compared to those found when using a smooth cutoff. The system of equations with a sharp cutoff is then solved numerically, deriving the complete renormalization group flow of the Einstein-Hilbert truncation in $d=4.$ The resulting renormalization group trajectories are classified and their physical relevance is discussed. The nontrivial fixed point which, if present in the exact theory, might render quantum Einstein gravity nonperturbatively renormalizable is investigated for various spacetime dimensionalities.
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Citations
Cites
Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
Souma, W. (1999) · Progress of Theoretical Physics · doi:10.1143/ptp.102.181 · Cited by 322
Effective Nonlocal Euclidean Gravity
Wetterich, C. (1998) · General Relativity and Gravitation · doi:10.1023/a:1018837319976 · Cited by 98
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
Self-citationThe nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Codello, A., Percacci, R., & Rahmede, C. (2009) · Annals of Physics · doi:10.1016/j.aop.2008.08.008 · Cited by 538
Fixed Points of Quantum Gravity
Litim, D. F. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.201301 · Cited by 506
Ambjørn, J., Jurkiewicz, J., & Loll, R. (2005) · Physical Review D · doi:10.1103/physrevd.72.064014 · Cited by 422
Metadata
- Authors
- Reuter, M., & Saueressig, F.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2002-02-28
- Volume
- 65
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2099174206
- Cited by
- 496
- References
- 2
- FWCI
- 5.22
- Type
- journal article
- Language
- en
- Open access
- green
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