Holographic thermal correlators revisited

Abstract We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large conformal dimensions. This allows us to use the geo...

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Autores principales:	Hare Krishna, D. Rodriguez-Gomez
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Gauge-gravity correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/140b1615eaeb42b7bcbe0c4c55874fc2
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spelling	oai:doaj.org-article:140b1615eaeb42b7bcbe0c4c55874fc22021-11-21T12:41:33ZHolographic thermal correlators revisited10.1007/JHEP11(2021)1391029-8479https://doaj.org/article/140b1615eaeb42b7bcbe0c4c55874fc22021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)139https://doaj.org/toc/1029-8479Abstract We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large conformal dimensions. This allows us to use the geodesic approximation for propagators. In addition to the leading order contribution, captured by geodesics anchored at the insertion points of the operators on the boundary and probing the bulk geometry thoroughly studied in the literature, the first correction is given by a Witten diagram involving both the bulk cubic coupling and the higher curvature couplings. As a result, this correction is proportional to the VEV of a neutral operator O k and thus probes the interior of the black hole exactly as in the case studied by Grinberg and Maldacena [13]. The form of the correction matches the general expectations in CFT and allows to identify the contributions of T n O k (being T n the general contraction of n energy-momentum tensors) to the 2-point function. This correction is actually the leading term for off-diagonal correlators (i.e. correlators for operators of different conformal dimension), which can then be computed holographically in this way.Hare KrishnaD. Rodriguez-GomezSpringerOpenarticleAdS-CFT CorrespondenceGauge-gravity correspondenceConformal Field TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-21 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Gauge-gravity correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Gauge-gravity correspondence Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Hare Krishna D. Rodriguez-Gomez Holographic thermal correlators revisited
description	Abstract We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large conformal dimensions. This allows us to use the geodesic approximation for propagators. In addition to the leading order contribution, captured by geodesics anchored at the insertion points of the operators on the boundary and probing the bulk geometry thoroughly studied in the literature, the first correction is given by a Witten diagram involving both the bulk cubic coupling and the higher curvature couplings. As a result, this correction is proportional to the VEV of a neutral operator O k and thus probes the interior of the black hole exactly as in the case studied by Grinberg and Maldacena [13]. The form of the correction matches the general expectations in CFT and allows to identify the contributions of T n O k (being T n the general contraction of n energy-momentum tensors) to the 2-point function. This correction is actually the leading term for off-diagonal correlators (i.e. correlators for operators of different conformal dimension), which can then be computed holographically in this way.
format	article
author	Hare Krishna D. Rodriguez-Gomez
author_facet	Hare Krishna D. Rodriguez-Gomez
author_sort	Hare Krishna
title	Holographic thermal correlators revisited
title_short	Holographic thermal correlators revisited
title_full	Holographic thermal correlators revisited
title_fullStr	Holographic thermal correlators revisited
title_full_unstemmed	Holographic thermal correlators revisited
title_sort	holographic thermal correlators revisited
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/140b1615eaeb42b7bcbe0c4c55874fc2
work_keys_str_mv	AT harekrishna holographicthermalcorrelatorsrevisited AT drodriguezgomez holographicthermalcorrelatorsrevisited
_version_	1718418808421482496

Holographic thermal correlators revisited

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