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Advances in High Energy Physics
Volume 2016, Article ID 5353267, 7 pages
http://dx.doi.org/10.1155/2016/5353267
Research Article

Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity

1Department of Physics and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746, Republic of Korea
2Institute of Basic Science and Department of Computer Simulation, Inje University, Gimhae 621-749, Republic of Korea

Received 4 May 2016; Revised 27 June 2016; Accepted 28 June 2016

Academic Editor: Barun Majumder

Copyright © 2016 Taeyoon Moon and Phillial Oh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

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.