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

K. Kajantie^1,2,*, Martin Krššák^3,†, M. Vepsäläinen^1,‡, and Aleksi Vuorinen^3,§

¹Department of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland
²Helsinki Institute of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland
³Faculty of Physics, University of Bielefeld, D-33501 Bielefeld, Germany

^*keijo.kajantie@helsinki.fi
^†krssak@physik.uni-bielefeld.de
^‡mikko.vepsalainen@helsinki.fi
^§vuorinen@physik.uni-bielefeld.de

Phys. Rev. D 84, 086004 – Published 13 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.086004

Abstract

We use AdS/QCD duality to compute the finite temperature Green’s function $G (ω, k; T)$ of the shear operator $T_{12}$ for all $ω$ , $k$ in hot Yang-Mills theory in the strongly coupled domain. The goal is to assess how the existence of scales like the transition temperature and glueball masses affect 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.

Article Text

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