Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity

We explore the possibility of the spontaneous symmetry breaking in 5D conformally invariant gravity, whose action consists of a scalar field nonminimally coupled to the curvature with its potential. Performing dimensional reduction via ADM decomposition, we find that the model allows an exact soluti...

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Main Authors: Taeyoon Moon, Phillial Oh
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/5353267
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author Taeyoon Moon
Phillial Oh
author_facet Taeyoon Moon
Phillial Oh
author_sort Taeyoon Moon
collection DOAJ
description We explore the possibility of the spontaneous symmetry breaking in 5D conformally invariant gravity, whose action consists of a scalar field nonminimally coupled to the curvature with its potential. Performing dimensional reduction via ADM decomposition, we find that the model allows an exact solution giving rise to the 4D Minkowski vacuum. Exploiting the conformal invariance with Gaussian warp factor, we show that it also admits a solution which implements the spontaneous breaking of conformal symmetry. We investigate its stability by performing the tensor perturbation and find the resulting system is described by the conformal quantum mechanics. Possible applications to the spontaneous symmetry breaking of time-translational symmetry along the dynamical fifth direction and the brane-world scenario are discussed.
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spelling doaj-art-e7902e2e1f32411fbb218ad9448fc5822025-08-20T03:21:02ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/53532675353267Spontaneous Symmetry Breaking in 5D Conformally Invariant GravityTaeyoon Moon0Phillial Oh1Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746, Republic of KoreaDepartment of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746, Republic of KoreaWe explore the possibility of the spontaneous symmetry breaking in 5D conformally invariant gravity, whose action consists of a scalar field nonminimally coupled to the curvature with its potential. Performing dimensional reduction via ADM decomposition, we find that the model allows an exact solution giving rise to the 4D Minkowski vacuum. Exploiting the conformal invariance with Gaussian warp factor, we show that it also admits a solution which implements the spontaneous breaking of conformal symmetry. We investigate its stability by performing the tensor perturbation and find the resulting system is described by the conformal quantum mechanics. Possible applications to the spontaneous symmetry breaking of time-translational symmetry along the dynamical fifth direction and the brane-world scenario are discussed.http://dx.doi.org/10.1155/2016/5353267
spellingShingle Taeyoon Moon
Phillial Oh
Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity
Advances in High Energy Physics
title Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity
title_full Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity
title_fullStr Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity
title_full_unstemmed Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity
title_short Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity
title_sort spontaneous symmetry breaking in 5d conformally invariant gravity
url http://dx.doi.org/10.1155/2016/5353267
work_keys_str_mv AT taeyoonmoon spontaneoussymmetrybreakingin5dconformallyinvariantgravity
AT phillialoh spontaneoussymmetrybreakingin5dconformallyinvariantgravity