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Cited by 238

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Quantizing fourth-order gravity theories: The functional integral

Barth, N. H., Christensen, S. M.·1983·Physical Review D

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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Crossref · 10.1103/physrevd.28.1876

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Metadata

Authors
Barth, N. H., & Christensen, S. M.
Venue
Physical Review D
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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