Non-perturbative aspects of galileon duality

Millington, Peter; Niedermann, Florian; Padilla, Antonio

Abstract

We study quantum aspects of the galileon duality, especially in the case of a particular interacting galileon theory that is said to be dual to a free theory through the action of a simultaneous field and coordinate transformation. This would appear to map a theory with multiple vacua to one with a unique vacuum state. However, by regulating the duality transformation using external sources, we are able to preserve the full vacuum structure in the dual frame. By explicitly calculating the one-particle irreducible effective action on a maximally symmetric background, we identify a semi-classical contribution to the Wightman functions that has not been taken into account in previous analyses due to the singular point in the duality map. This may affect its spectral properties at high energy scales. These observations cast doubt on the main evidence in support of a non-local UV structure for galileons.

Citation

Millington, P., Niedermann, F., & Padilla, A. (in press). Non-perturbative aspects of galileon duality. European Physical Journal C: Particles and Fields, 78(7), https://doi.org/10.1140/epjc/s10052-018-6029-0

• Journal Article Type: Article
• Acceptance Date: Jun 25, 2018
• Online Publication Date: Jul 4, 2018
• Deposit Date: Jul 6, 2018
• Publicly Available Date: Jul 6, 2018
• Journal: European Physical Journal C
• Print ISSN: 1434-6044
• Electronic ISSN: 1434-6044
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 78
• Issue: 7
• DOI: https://doi.org/10.1140/epjc/s10052-018-6029-0
• Public URL: https://nottingham-repository.worktribe.com/output/945284
• Publisher URL: https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-6029-0