Coupling constant dependence of the shear viscosity in \(\mathcal N=4\) supersymmetric Yang-Mills theory
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Publication:874588
DOI10.1016/J.NUCLPHYSB.2004.11.055zbMATH Open1160.81463arXivhep-th/0406264OpenAlexW2054213422MaRDI QIDQ874588
Author name not available (Why is that?)
Publication date: 10 April 2007
Published in: (Search for Journal in Brave)
Abstract: 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^2_{YM} N_c is independent of the coupling and equals to pi N_c^2 T^3/8. In this paper, we compute the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the alpha'-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 1/4pi in the limit of infinite coupling). The correction to 1/4pi scales as (g^2_{YM} N_c)^{-3/2} with a positive coefficient.
Full work available at URL: https://arxiv.org/abs/hep-th/0406264
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