Deser, S. and McCarthy, Jim and Yang, Z. (1989) Polynomial formulations and renormalizability in quantum gravity. Physics Letters B, 222 (1). pp. 61-65. ISSN 0370-2693. doi:10.1016/0370-2693(89)90723-5. https://resolver.caltech.edu/CaltechAUTHORS:20161220-161053820
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Abstract
Non-renormalizability of quantum gravity is traced, in the “binomial” first order metric formulation, to a mismatch between the symmetries of its quadratic and cubic terms, which makes this ostensibly renormalizable system ill-defined about zero vacuum, and forces the usual expansion of the metric about a background. How it might have been is illustrated by the exception, D=2, where the theory is well-defined and hence is “off-shell” finite. In D=3, where the first order vielbein form is also quadratic plus cubic, it is explicitly shown to remain off-shell finite even about non-zero backgrounds, in contrast to the infinities expected in the metric description.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1989 Elsevier. Received 30 December 1988. | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1016/0370-2693(89)90723-5 | |||||||||
| Record Number: | CaltechAUTHORS:20161220-161053820 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161220-161053820 | |||||||||
| Official Citation: | S. Deser, Jim McCarthy, Z. Yang, Polynomial formulations and renormalizability in quantum gravity, Physics Letters B, Volume 222, Issue 1, 11 May 1989, Pages 61-65, ISSN 0370-2693, http://dx.doi.org/10.1016/0370-2693(89)90723-5. (http://www.sciencedirect.com/science/article/pii/0370269389907235) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 73025 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 21 Dec 2016 17:34 | |||||||||
| Last Modified: | 11 Nov 2021 05:10 |
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