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U(1) gauge vector field on a codimension-2 brane

  • Chun-E FuEmail author
  • Yuan Zhong
  • Yu-Xiao Liu
Open Access
Regular Article - Theoretical Physics
  • 22 Downloads

Abstract

In this paper, we obtain a gauge invariant effective action for a bulk massless U(1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of the action for the massive vector KK modes. Both the vector and scalar KK modes can be massive. The masses of the vector KK modes m(n) contain two parts, m 1 ( n) and m 2 ( n) , due to the existence of the two extra dimensions. The masses of the two types of scalar KK modes m ϕ ( n) and m φ ( n) are related to the vector ones, i.e., m ϕ ( n)  = m 1 ( n) and m φ ( n)  = m 2 ( n) . Moreover, we derive two Schrödinger-like equations for the vector KK modes, for which the effective potentials are just the functions of the warp factor.

Keywords

Field Theories in Higher Dimensions Solitons Monopoles and Instantons 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.School of ScienceXi’an Jiaotong UniversityXi’anChina
  2. 2.Institute of Theoretical Physics & Research Center of GravitationLanzhou UniversityLanzhouChina

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