Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory

Gauge theory-gravity duality predicts that the shear viscosity of N = 4 supersymmetric SU(N c) Yang-Mills plasma at temperature T in the limit of large N c and large 't Hooft coupling g YM2N c is independent of the coupling...

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Main Authors: Buchel, A, Liu, J, Starinets, A
Format: Journal article
Language:English
Published: 2005
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author Buchel, A
Liu, J
Starinets, A
author_facet Buchel, A
Liu, J
Starinets, A
author_sort Buchel, A
collection OXFORD
description Gauge theory-gravity duality predicts that the shear viscosity of N = 4 supersymmetric SU(N c) Yang-Mills plasma at temperature T in the limit of large N c and large 't Hooft coupling g YM2N c is independent of the coupling and equals to πN c2T 3 /8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the α′-corrected low-energy effective action of type IIB string theory. We also find the correction to the ratio of shear viscosity to the volume entropy density (equal to 1/4π in the limit of infinite coupling). The correction to 1/4π scales as (g YM2N c) -3/2 with a positive coefficient. © 2004 Elsevier B.V. All rights reserved.
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spelling oxford-uuid:2715fc0d-1f2f-41e9-afd9-45b9ad3301bb2022-03-26T12:04:42ZCoupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2715fc0d-1f2f-41e9-afd9-45b9ad3301bbEnglishSymplectic Elements at Oxford2005Buchel, ALiu, JStarinets, AGauge theory-gravity duality predicts that the shear viscosity of N = 4 supersymmetric SU(N c) Yang-Mills plasma at temperature T in the limit of large N c and large 't Hooft coupling g YM2N c is independent of the coupling and equals to πN c2T 3 /8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the α′-corrected low-energy effective action of type IIB string theory. We also find the correction to the ratio of shear viscosity to the volume entropy density (equal to 1/4π in the limit of infinite coupling). The correction to 1/4π scales as (g YM2N c) -3/2 with a positive coefficient. © 2004 Elsevier B.V. All rights reserved.
spellingShingle Buchel, A
Liu, J
Starinets, A
Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
title Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
title_full Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
title_fullStr Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
title_full_unstemmed Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
title_short Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory
title_sort coupling constant dependence of the shear viscosity in n 4 supersymmetric yang mills theory
work_keys_str_mv AT buchela couplingconstantdependenceoftheshearviscosityinn4supersymmetricyangmillstheory
AT liuj couplingconstantdependenceoftheshearviscosityinn4supersymmetricyangmillstheory
AT starinetsa couplingconstantdependenceoftheshearviscosityinn4supersymmetricyangmillstheory