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Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification

  • Takuya HiroseEmail author
  • Nobuhito Maru
Open Access
Regular Article - Theoretical Physics

Abstract

We calculate one-loop corrections to the mass for the zero mode of scalar field in a six-dimensional Yang-Mills theory compactified on a torus with magnetic flux. It is shown that these corrections are exactly cancelled thanks to a shift symmetry under the translation in extra spaces. This result is expected from the fact that the zero mode of scalar field is a Nambu-Goldstone boson of the translational invariance in extra spaces.

Keywords

Field Theories in Higher Dimensions Flux compactifications Effective Field Theories Spontaneous Symmetry Breaking 

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.Department of Mathematics and PhysicsOsaka City UniversityOsakaJapan
  2. 2.Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP)Osaka City UniversityOsakaJapan

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