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Frequency and wave number dependence of the shear correlator in strongly coupled hot Yang-Mills theory

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arxiv 1104.5352 v1 pith:WUABR5DF submitted 2011-04-28 hep-ph hep-th

classification hep-phhep-th
keywords temperaturetheoryyang-millscorrelatoromegashearstronglyaffects
verification ladder T0 review T1 audit T2 compute T3 formal

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We use AdS/QCD duality to compute the finite temperature Green's function G(omega,k;T) of the shear operator T_12 for all omega,k in hot Yang-Mills theory. The goal is to assess how the existence of scales like the transition temperature and glueball masses affects the correlator computed in the scalefree conformal N=4 supersymmetric Yang-Mills theory. We observe sizeable effects for T close to T_c which rapidly disappear with increasing T. Quantitative agreement of these predictions with future lattice Monte Carlo data would suggest that QCD matter in this temperature range is strongly interacting.

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    A generalized WKB/Bohr-Sommerfeld quantization rule is derived for holographic QCD potentials with an infinite boundary barrier and applied to scalar and vector fields in the soft-wall model, matching shooting-method ...

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