Deser, S. (2000) Conformal anomalies revisited: closed form effective actions in D ≥ 4. Nuclear Physics B - Proceedings Supplements, 88 (1-3). pp. 204-209. ISSN 0920-5632. doi:10.1016/S0920-5632(00)00769-6. https://resolver.caltech.edu/CaltechAUTHORS:20161216-094038092
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Abstract
We present closed-form coordinate invariant effective actions, for both types of Weyl anomalies, in all D ≥ 4 that vary into the respective anomalies and confirm that their nonlocalities match (as they must) the underlying diagrammatics. In particular, despite contrary appearances, generalized Polyakov form type A actions both yield the correct anomalies and reproduce the lowest order pole structure. However, already to lowest order, these actions cannot be obtained from integrating out a physically acceptable local compensating field action. For type B, a previous candidate with the wrong analytic behavior indeed fails to vary properly. Instead, correct type B actions are given that reflects their UV origin and logarithmic scale dependence; they are constructed in terms of novel Weyl invariant tensor operators.
Item Type: | Article | |||||||||
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Additional Information: | © 2000 Elsevier. This work was supported by the National Science Foundation under grant PHY99-73935. | |||||||||
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Issue or Number: | 1-3 | |||||||||
DOI: | 10.1016/S0920-5632(00)00769-6 | |||||||||
Record Number: | CaltechAUTHORS:20161216-094038092 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161216-094038092 | |||||||||
Official Citation: | S. Deser, Conformal anomalies revisited: closed form effective actions in D≥4, Nuclear Physics B - Proceedings Supplements, Volume 88, Issue 1, 2000, Pages 204-209, ISSN 0920-5632, http://dx.doi.org/10.1016/S0920-5632(00)00769-6. (http://www.sciencedirect.com/science/article/pii/S0920563200007696) | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 72897 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | George Porter | |||||||||
Deposited On: | 16 Dec 2016 22:53 | |||||||||
Last Modified: | 11 Nov 2021 05:08 |
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