Small instantons in weakly-gauged holographic models

Abstract Small instantons can play an important role in Yang-Mills theories whose gauge couplings are sizeable at small distances. An interesting class of theories where this could occur is in weakly-gauged holographic models (dual to Yang-Mills theories interacting with strongly-coupled CFTs), sinc...

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Autores principales:	Tony Gherghetta, Alex Pomarol
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Solitons Monopoles and Instantons Field Theories in Higher Dimensions Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/14ac506ef4ee45c79ad4ac741be54100
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spelling	oai:doaj.org-article:14ac506ef4ee45c79ad4ac741be541002021-11-21T12:40:52ZSmall instantons in weakly-gauged holographic models10.1007/JHEP11(2021)1361029-8479https://doaj.org/article/14ac506ef4ee45c79ad4ac741be541002021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)136https://doaj.org/toc/1029-8479Abstract Small instantons can play an important role in Yang-Mills theories whose gauge couplings are sizeable at small distances. An interesting class of theories where this could occur is in weakly-gauged holographic models (dual to Yang-Mills theories interacting with strongly-coupled CFTs), since gauge couplings are indeed enhanced towards the UV boundary of the 5D AdS space. However, contrary to expectations, we show that small instantons in these non-asymptotically-free models are highly suppressed and ineffective. This is due to the conservation of topological charge that forbids instantons to be localized near the UV boundary. Despite this fact we find non-trivial UV localized instanton-anti-instanton solutions of the Yang-Mills equations where the topological charges annihilate in the AdS bulk. These analytic solutions arise from a 5D conformal transformation of the uplifted 4D instanton. Our analysis therefore reveals unexpected nonperturbative configurations of Yang-Mills theories when they interact with strongly-coupled CFTs.Tony GherghettaAlex PomarolSpringerOpenarticleAdS-CFT CorrespondenceSolitons Monopoles and InstantonsField Theories in Higher DimensionsGauge-gravity correspondenceNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-22 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Solitons Monopoles and Instantons Field Theories in Higher Dimensions Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Solitons Monopoles and Instantons Field Theories in Higher Dimensions Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Tony Gherghetta Alex Pomarol Small instantons in weakly-gauged holographic models
description	Abstract Small instantons can play an important role in Yang-Mills theories whose gauge couplings are sizeable at small distances. An interesting class of theories where this could occur is in weakly-gauged holographic models (dual to Yang-Mills theories interacting with strongly-coupled CFTs), since gauge couplings are indeed enhanced towards the UV boundary of the 5D AdS space. However, contrary to expectations, we show that small instantons in these non-asymptotically-free models are highly suppressed and ineffective. This is due to the conservation of topological charge that forbids instantons to be localized near the UV boundary. Despite this fact we find non-trivial UV localized instanton-anti-instanton solutions of the Yang-Mills equations where the topological charges annihilate in the AdS bulk. These analytic solutions arise from a 5D conformal transformation of the uplifted 4D instanton. Our analysis therefore reveals unexpected nonperturbative configurations of Yang-Mills theories when they interact with strongly-coupled CFTs.
format	article
author	Tony Gherghetta Alex Pomarol
author_facet	Tony Gherghetta Alex Pomarol
author_sort	Tony Gherghetta
title	Small instantons in weakly-gauged holographic models
title_short	Small instantons in weakly-gauged holographic models
title_full	Small instantons in weakly-gauged holographic models
title_fullStr	Small instantons in weakly-gauged holographic models
title_full_unstemmed	Small instantons in weakly-gauged holographic models
title_sort	small instantons in weakly-gauged holographic models
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/14ac506ef4ee45c79ad4ac741be54100
work_keys_str_mv	AT tonygherghetta smallinstantonsinweaklygaugedholographicmodels AT alexpomarol smallinstantonsinweaklygaugedholographicmodels
_version_	1718418868267909120

Small instantons in weakly-gauged holographic models

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