Thermal correlation functions in CFT and factorization

Abstract We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including α′ corrections to the bla...

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Autores principales:	D. Rodriguez-Gomez, J. G. Russo
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/4ffa464929024599b39473be9d3c5770
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spelling	oai:doaj.org-article:4ffa464929024599b39473be9d3c57702021-11-14T12:42:11ZThermal correlation functions in CFT and factorization10.1007/JHEP11(2021)0491029-8479https://doaj.org/article/4ffa464929024599b39473be9d3c57702021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)049https://doaj.org/toc/1029-8479Abstract We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including α′ corrections to the black brane background, we reproduce the leading correction at strong coupling. In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties. In simple cases, we find an analytic formula. When the dimensions satisfy ∆ i = ∆ j + ∆ k , the thermal 3-point function satisfies a factorization property. We argue that in d > 2 factorization is a reflection of the semiclassical regime.D. Rodriguez-GomezJ. G. RussoSpringerOpenarticleAdS-CFT CorrespondenceConformal Field TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-28 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 D. Rodriguez-Gomez J. G. Russo Thermal correlation functions in CFT and factorization
description	Abstract We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including α′ corrections to the black brane background, we reproduce the leading correction at strong coupling. In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties. In simple cases, we find an analytic formula. When the dimensions satisfy ∆ i = ∆ j + ∆ k , the thermal 3-point function satisfies a factorization property. We argue that in d > 2 factorization is a reflection of the semiclassical regime.
format	article
author	D. Rodriguez-Gomez J. G. Russo
author_facet	D. Rodriguez-Gomez J. G. Russo
author_sort	D. Rodriguez-Gomez
title	Thermal correlation functions in CFT and factorization
title_short	Thermal correlation functions in CFT and factorization
title_full	Thermal correlation functions in CFT and factorization
title_fullStr	Thermal correlation functions in CFT and factorization
title_full_unstemmed	Thermal correlation functions in CFT and factorization
title_sort	thermal correlation functions in cft and factorization
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/4ffa464929024599b39473be9d3c5770
work_keys_str_mv	AT drodriguezgomez thermalcorrelationfunctionsincftandfactorization AT jgrusso thermalcorrelationfunctionsincftandfactorization
_version_	1718429046278193152

Thermal correlation functions in CFT and factorization

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