Deffayet, C. and Deser, S. and Esposito-Farèse, G. (2010) Arbitrary p-form Galileons. Physical Review D, 82 (6). Art. No. 061501 . ISSN 2470-0010. doi:10.1103/PhysRevD.82.061501. https://resolver.caltech.edu/CaltechAUTHORS:20100928-093804973
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Abstract
We show that scalar, 0-form, Galileon actions—models whose field equations contain only second derivatives—can be generalized to arbitrary even p-forms. More generally, they need not even depend on a single form, but may involve mixed p combinations, including equal p multiplets, where odd p fields are also permitted: We construct, for given dimension D, general actions depending on scalars, vectors, and higher p-form field strengths, whose field equations are of exactly second derivative order. We also discuss and illustrate their curved-space generalizations, especially the delicate nonminimal couplings required to maintain this order. Concrete examples of pure and mixed actions, field equations, and their curved-space extensions are presented.
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Additional Information: | © 2010 The American Physical Society. Received 29 July 2010; published 9 September 2010. The work of S. D. was supported by NSF Grant No. PHY 07-57190 and DOE Grant No. DE-FG02-92ER40701. Our calculations have been cross-checked using several computer programs, including the XTENSOR package [8] for MATHEMATICA. | ||||||||||||
Group: | Caltech Theory | ||||||||||||
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Issue or Number: | 6 | ||||||||||||
Classification Code: | PACS: 04.50.-h, 11.10.-z, 98.80.-k | ||||||||||||
DOI: | 10.1103/PhysRevD.82.061501 | ||||||||||||
Record Number: | CaltechAUTHORS:20100928-093804973 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100928-093804973 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 20175 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 28 Sep 2010 20:08 | ||||||||||||
Last Modified: | 08 Nov 2021 23:57 |
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