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Renormalization of higher-derivative quantum gravity
Abstract
Gravitational actions which include terms quadratic in the curvature tensor are renormalizable. The necessary Slavnov identities are derived from Becchi-Rouet-Stora (BRS) transformations of the gravitational and Faddeev-Popov ghost fields. In general, non-gauge-invariant divergences do arise, but they may be absorbed by nonlinear renormalizations of the gravitational and ghost fields (and of the BRS transformations). Fortunately, these artifactual divergences may be eliminated by letting the coefficient of the harmonic gauge-fixing term tend to infinity, thus considerably simplifying the renormalization procedure. Coupling to other renormalizable fields may then be handled in a straightforward manner.
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Citations
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Theory of cosmological perturbations
Mukhanov, V (1992) · Physics Reports · doi:10.1016/0370-1573(92)90044-z · Cited by 3,608
Topologically massive gauge theories
Deser, S., Jackiw, R., & Templeton, S. (1982) · Annals of Physics · doi:10.1016/0003-4916(82)90164-6 · Cited by 2,740
Classical gravity with higher derivatives
Stelle, K. S. (1978) · General Relativity and Gravitation · doi:10.1007/bf00760427 · Cited by 1,379
Self-citationGeneral relativity as an effective field theory: The leading quantum corrections
Donoghue, J. F. (1994) · Physical Review D · doi:10.1103/physrevd.50.3874 · Cited by 1,294
Metadata
- Authors
- Stelle, K. S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1977-08-15
- Volume
- 16
- Issue
- 4
- Pages
- 953-969
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2157606627
- Cited by
- 2,563
- References
- 0
- FWCI
- 11.55
- Type
- journal article
- Language
- en
- Open access
- closed
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