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

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, g^2(r,T), and determine the length scale that separates at high temperature the short distance perturbative regime from the large distance non-perturbativ...

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Bibliographic Details
Published in:arXiv.org 2004-06
Main Authors: Kaczmarek, O, Karsch, F, Petreczky, P, Zantow, F
Format: Article
Language:English
Subjects:
Couplings
Free energy
High temperature
Quantum chromodynamics
Quantum confinement
Quark-gluon plasma
Quarks
Online Access:Get full text
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Summary: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, g^2(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.
ISSN:2331-8422
DOI:10.48550/arxiv.0406036