Localization of vector field on dynamical domain wall

In the previous works (arXiv:1202.5375 and arXiv:1402.1346), the dynamical domain wall, where the four dimensional FRW universe is embedded in the five dimensional space–time, has been realized by using two scalar fields. In this paper, we consider the localization of vector field in three formulati...

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Main Authors: Masafumi Higuchi, Shin'ichi Nojiri
Format: Article
Language:English
Published: Elsevier 2017-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317300229
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author Masafumi Higuchi
Shin'ichi Nojiri
author_facet Masafumi Higuchi
Shin'ichi Nojiri
author_sort Masafumi Higuchi
collection DOAJ
description In the previous works (arXiv:1202.5375 and arXiv:1402.1346), the dynamical domain wall, where the four dimensional FRW universe is embedded in the five dimensional space–time, has been realized by using two scalar fields. In this paper, we consider the localization of vector field in three formulations. The first formulation was investigated in the previous paper (arXiv:1510.01099) for the U(1) gauge field. In the second formulation, we investigate the Dvali–Shifman mechanism (arXiv:hep-th/9612128), where the non-abelian gauge field is confined in the bulk but the gauge symmetry is spontaneously broken on the domain wall. In the third formulation, we investigate the Kaluza–Klein modes coming from the five dimensional graviton. In the Randall–Sundrum model, the graviton was localized on the brane. We show that the (5,μ) components (μ=0,1,2,3) of the graviton are also localized on the domain wall and can be regarded as the vector field on the domain wall. There are, however, some corrections coming from the bulk extra dimension if the domain wall universe is expanding.
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spelling doaj.art-a42b6cef6a14405da8d2c91fcfc5fc092022-12-21T23:56:50ZengElsevierPhysics Letters B0370-26931873-24452017-03-01766C19620410.1016/j.physletb.2017.01.015Localization of vector field on dynamical domain wallMasafumi Higuchi0Shin'ichi Nojiri1Department of Physics, Nagoya University, Nagoya 464-8602, JapanDepartment of Physics, Nagoya University, Nagoya 464-8602, JapanIn the previous works (arXiv:1202.5375 and arXiv:1402.1346), the dynamical domain wall, where the four dimensional FRW universe is embedded in the five dimensional space–time, has been realized by using two scalar fields. In this paper, we consider the localization of vector field in three formulations. The first formulation was investigated in the previous paper (arXiv:1510.01099) for the U(1) gauge field. In the second formulation, we investigate the Dvali–Shifman mechanism (arXiv:hep-th/9612128), where the non-abelian gauge field is confined in the bulk but the gauge symmetry is spontaneously broken on the domain wall. In the third formulation, we investigate the Kaluza–Klein modes coming from the five dimensional graviton. In the Randall–Sundrum model, the graviton was localized on the brane. We show that the (5,μ) components (μ=0,1,2,3) of the graviton are also localized on the domain wall and can be regarded as the vector field on the domain wall. There are, however, some corrections coming from the bulk extra dimension if the domain wall universe is expanding.http://www.sciencedirect.com/science/article/pii/S0370269317300229
spellingShingle Masafumi Higuchi
Shin'ichi Nojiri
Localization of vector field on dynamical domain wall
Physics Letters B
title Localization of vector field on dynamical domain wall
title_full Localization of vector field on dynamical domain wall
title_fullStr Localization of vector field on dynamical domain wall
title_full_unstemmed Localization of vector field on dynamical domain wall
title_short Localization of vector field on dynamical domain wall
title_sort localization of vector field on dynamical domain wall
url http://www.sciencedirect.com/science/article/pii/S0370269317300229
work_keys_str_mv AT masafumihiguchi localizationofvectorfieldondynamicaldomainwall
AT shinichinojiri localizationofvectorfieldondynamicaldomainwall