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Conformal anomalies revisited: closed form effective actions in D ≥ 4

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.

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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.

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Deser, S.0000-0001-9285-9434
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
Record Number:CaltechAUTHORS:20161216-094038092
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72897
Deposited By: George Porter
Deposited On:16 Dec 2016 22:53
Last Modified:11 Nov 2021 05:08

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