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Quantizing fourth-order gravity theories: The functional integral
Abstract
The first part of a detailed analysis of the one-loop divergences of fourth-order gravity theories is presented. The functional-integral structure is determined and the three kinds of ghosts which appear are discussed. Field operators and gauge-fixing terms are derived and are found to be far more complicated than those of standard second-order theory, whose details are presented for comparison to the fourth-order case. We outline how, in future papers, we will approach the computation of the one-loop counterterms using pseudo-differential operator techniques and related methods. We also discuss briefly what other workers have done and are doing in studies of the problems inherent in fourth-order gravity and its extensions. Finally, we emphasize the need to investigate the full non-linear theory with coordinate-space methods and mention some of the problems brought about by linearization. Details of calculations and the multilevel-mass-spectrum theory are presented in several appendices.
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Self-citation
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Ishak, M. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-018-0017-4 · Cited by 449
Construction of cosmologically viable gravity models
De Felice, A., & Tsujikawa, S. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.03.060 · Cited by 366
Cosmological inflation inF(R,G)gravity
De Laurentis, M., Paolella, M., & Capozziello, S. (2015) · Physical Review D · doi:10.1103/physrevd.91.083531 · Cited by 274
Lovelock gravitational field equations in cosmology
Deruelle, N., & Fariña-Busto, L. (1990) · Physical Review D · doi:10.1103/physrevd.41.3696 · Cited by 269
Ghosts, instabilities, and superluminal propagation in modified gravity models
Felice, A. D., Hindmarsh, M., & Trodden, M. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/08/005 · Cited by 155
Metadata
- Authors
- Barth, N. H., & Christensen, S. M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1983-10-15
- Volume
- 28
- Issue
- 8
- Pages
- 1876-1893
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2053725923
- Cited by
- 238
- References
- 6
- FWCI
- 5.42
- Type
- journal article
- Language
- en
- Open access
- closed
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