Non-perturbative aspects of galileon duality

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...

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Main Authors: Millington, Peter, Niedermann, Florian, Padilla, Antonio
Format: Article
Published: Springer 2018
Online Access:https://eprints.nottingham.ac.uk/52804/
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author Millington, Peter
Niedermann, Florian
Padilla, Antonio
author_facet Millington, Peter
Niedermann, Florian
Padilla, Antonio
author_sort Millington, Peter
building Nottingham Research Data Repository
collection Online Access
description 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.
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spelling nottingham-528042020-05-04T19:45:13Z https://eprints.nottingham.ac.uk/52804/ Non-perturbative aspects of galileon duality Millington, Peter Niedermann, Florian Padilla, Antonio 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. Springer 2018-07-04 Article PeerReviewed Millington, Peter, Niedermann, Florian and Padilla, Antonio (2018) Non-perturbative aspects of galileon duality. European Physical Journal C, 78 (7). p. 546. ISSN 1434-6044 https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-6029-0 doi:10.1140/epjc/s10052-018-6029-0 doi:10.1140/epjc/s10052-018-6029-0
spellingShingle Millington, Peter
Niedermann, Florian
Padilla, Antonio
Non-perturbative aspects of galileon duality
title Non-perturbative aspects of galileon duality
title_full Non-perturbative aspects of galileon duality
title_fullStr Non-perturbative aspects of galileon duality
title_full_unstemmed Non-perturbative aspects of galileon duality
title_short Non-perturbative aspects of galileon duality
title_sort non-perturbative aspects of galileon duality
url https://eprints.nottingham.ac.uk/52804/
https://eprints.nottingham.ac.uk/52804/
https://eprints.nottingham.ac.uk/52804/