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

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...

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Main Authors: Takuya Hirose, Nobuhito Maru
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2019)054
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spelling doaj-bac01c69860a40b188a24c65eab6d3962020-11-25T03:09:32ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019811910.1007/JHEP08(2019)054Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactificationTakuya Hirose0Nobuhito Maru1Department of Mathematics and Physics, Osaka City UniversityDepartment of Mathematics and Physics, Osaka City UniversityAbstract 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.http://link.springer.com/article/10.1007/JHEP08(2019)054Field Theories in Higher DimensionsFlux compactificationsEffective Field TheoriesSpontaneous Symmetry Breaking
collection DOAJ
language English
format Article
sources DOAJ
author Takuya Hirose
Nobuhito Maru
spellingShingle Takuya Hirose
Nobuhito Maru
Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification
Journal of High Energy Physics
Field Theories in Higher Dimensions
Flux compactifications
Effective Field Theories
Spontaneous Symmetry Breaking
author_facet Takuya Hirose
Nobuhito Maru
author_sort Takuya Hirose
title Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification
title_short Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification
title_full Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification
title_fullStr Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification
title_full_unstemmed Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification
title_sort cancellation of one-loop corrections to scalar masses in yang-mills theory with flux compactification
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-08-01
description 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.
topic Field Theories in Higher Dimensions
Flux compactifications
Effective Field Theories
Spontaneous Symmetry Breaking
url http://link.springer.com/article/10.1007/JHEP08(2019)054
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AT nobuhitomaru cancellationofoneloopcorrectionstoscalarmassesinyangmillstheorywithfluxcompactification
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