Static quark anti-quark free energy and the running coupling at finite temperature

2004/06/23 by O. Kaczmarek, F. Karsch, P. Petreczky +1 · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.70.074505

published as Phys.Rev.D70:074505,2004; Erratum-ibid.D72:059903,2005 · 8 pages, 9 EPS-files, revtex4

arxiv created 2004/06/23 · arxiv updated 2014/11/17

Abstract

We analyze the free energy of a static quark anti-quark pair in quenched QCD at short and large distances. From this we deduce running couplings, g²(r,T), and determine the length scale that separates at high temperature the short distance perturbative regime from the large distance non-perturbative regime in the QCD plasma phase. Ambiguities in the definition of a coupling beyond the perturbative regime are discussed in their relation to phenomenological considerations on heavy quark bound states in the quark gluon plasma. Our analysis suggests that it is more appropriate to characterize the non-perturbative properties of the QCD plasma phase close to T_c in terms remnants of the confinement part of the QCD force rather than a strong Coulombic force.

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