AdS Higgs mechanism from double trace deformed CFT

Abstract Explicit breaking of a global symmetry in a conformal field theory is holographically dual to giving mass to a gauge field living in AdS via the Higgs mechanism. We show that if this breaking is induced via a double trace deformation the Higgs mechanism is induced via a scalar loop diagram....

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Main Authors: Andreas Karch, Mianqi Wang, Merna Youssef
Format: Article
Language:English
Published: SpringerOpen 2024-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2024)044
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author Andreas Karch
Mianqi Wang
Merna Youssef
author_facet Andreas Karch
Mianqi Wang
Merna Youssef
author_sort Andreas Karch
collection DOAJ
description Abstract Explicit breaking of a global symmetry in a conformal field theory is holographically dual to giving mass to a gauge field living in AdS via the Higgs mechanism. We show that if this breaking is induced via a double trace deformation the Higgs mechanism is induced via a scalar loop diagram. The mass can be calculated analytically in both bulk and field theory and we find perfect agreement. While representing familiar physics, the mechanism is identical to how the graviton picks up a mass in the holographic dual of a conformal field theory coupled to a bath.
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spelling doaj.art-5a7f1a5b224c4e63972b92673f91936c2024-03-05T17:27:19ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024211610.1007/JHEP02(2024)044AdS Higgs mechanism from double trace deformed CFTAndreas Karch0Mianqi Wang1Merna Youssef2Theory Group, Weinberg Institute, Department of Physics, University of TexasTheory Group, Weinberg Institute, Department of Physics, University of TexasTheory Group, Weinberg Institute, Department of Physics, University of TexasAbstract Explicit breaking of a global symmetry in a conformal field theory is holographically dual to giving mass to a gauge field living in AdS via the Higgs mechanism. We show that if this breaking is induced via a double trace deformation the Higgs mechanism is induced via a scalar loop diagram. The mass can be calculated analytically in both bulk and field theory and we find perfect agreement. While representing familiar physics, the mechanism is identical to how the graviton picks up a mass in the holographic dual of a conformal field theory coupled to a bath.https://doi.org/10.1007/JHEP02(2024)044AdS-CFT CorrespondenceSpontaneous Symmetry Breaking
spellingShingle Andreas Karch
Mianqi Wang
Merna Youssef
AdS Higgs mechanism from double trace deformed CFT
Journal of High Energy Physics
AdS-CFT Correspondence
Spontaneous Symmetry Breaking
title AdS Higgs mechanism from double trace deformed CFT
title_full AdS Higgs mechanism from double trace deformed CFT
title_fullStr AdS Higgs mechanism from double trace deformed CFT
title_full_unstemmed AdS Higgs mechanism from double trace deformed CFT
title_short AdS Higgs mechanism from double trace deformed CFT
title_sort ads higgs mechanism from double trace deformed cft
topic AdS-CFT Correspondence
Spontaneous Symmetry Breaking
url https://doi.org/10.1007/JHEP02(2024)044
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AT mianqiwang adshiggsmechanismfromdoubletracedeformedcft
AT mernayoussef adshiggsmechanismfromdoubletracedeformedcft