Bi-galileon theory I: motivation and formulation

We introduce bi-galileon theory, the generalisation of the single galileon model introduced by Nicolis et al. The theory contains two coupled scalar fields and is described by a Lagrangian that is invariant under Galilean shifts in those fields. This paper is the first of two, and focuses on the mot...

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Main Authors: Padilla, Antonio, Saffin, Paul M., Zhou, Shuang-Yong
Format: Article
Published: Springer 2010
Online Access:https://eprints.nottingham.ac.uk/42133/
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author Padilla, Antonio
Saffin, Paul M.
Zhou, Shuang-Yong
author_facet Padilla, Antonio
Saffin, Paul M.
Zhou, Shuang-Yong
author_sort Padilla, Antonio
building Nottingham Research Data Repository
collection Online Access
description We introduce bi-galileon theory, the generalisation of the single galileon model introduced by Nicolis et al. The theory contains two coupled scalar fields and is described by a Lagrangian that is invariant under Galilean shifts in those fields. This paper is the first of two, and focuses on the motivation and formulation of the theory. We show that the boundary effective theory of the cascading cosmology model corresponds to a bi-galileon theory in the decoupling limit, and argue that this is to be expected for co-dimension 2 braneworld models exhibiting infra-red modification of gravity. We then generalise this, by constructing the most general bi-galileon Lagrangian. By coupling one of the galileons to the energy-momentum tensor, we pitch this as a modified gravity theory in which the modifications to General Relativity are encoded in the dynamics of the two galileons. We initiate a study of phenomenology by looking at maximally symmetric vacua and their stability, developing elegant geometric techniques that trivially explain why some of the vacua have to be unstable in certain cases (eg DGP). A detailed study of phenomenology appears in our companion paper.
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spelling nottingham-421332020-05-04T16:30:11Z https://eprints.nottingham.ac.uk/42133/ Bi-galileon theory I: motivation and formulation Padilla, Antonio Saffin, Paul M. Zhou, Shuang-Yong We introduce bi-galileon theory, the generalisation of the single galileon model introduced by Nicolis et al. The theory contains two coupled scalar fields and is described by a Lagrangian that is invariant under Galilean shifts in those fields. This paper is the first of two, and focuses on the motivation and formulation of the theory. We show that the boundary effective theory of the cascading cosmology model corresponds to a bi-galileon theory in the decoupling limit, and argue that this is to be expected for co-dimension 2 braneworld models exhibiting infra-red modification of gravity. We then generalise this, by constructing the most general bi-galileon Lagrangian. By coupling one of the galileons to the energy-momentum tensor, we pitch this as a modified gravity theory in which the modifications to General Relativity are encoded in the dynamics of the two galileons. We initiate a study of phenomenology by looking at maximally symmetric vacua and their stability, developing elegant geometric techniques that trivially explain why some of the vacua have to be unstable in certain cases (eg DGP). A detailed study of phenomenology appears in our companion paper. Springer 2010-12-06 Article PeerReviewed Padilla, Antonio, Saffin, Paul M. and Zhou, Shuang-Yong (2010) Bi-galileon theory I: motivation and formulation. Journal of High Energy Physics, 2010 (12). 031. ISSN 1029-8479 http://link.springer.com/article/10.1007%2FJHEP12%282010%29031 doi:10.1007/JHEP12(2010)031 doi:10.1007/JHEP12(2010)031
spellingShingle Padilla, Antonio
Saffin, Paul M.
Zhou, Shuang-Yong
Bi-galileon theory I: motivation and formulation
title Bi-galileon theory I: motivation and formulation
title_full Bi-galileon theory I: motivation and formulation
title_fullStr Bi-galileon theory I: motivation and formulation
title_full_unstemmed Bi-galileon theory I: motivation and formulation
title_short Bi-galileon theory I: motivation and formulation
title_sort bi-galileon theory i: motivation and formulation
url https://eprints.nottingham.ac.uk/42133/
https://eprints.nottingham.ac.uk/42133/
https://eprints.nottingham.ac.uk/42133/