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(Non)-perturbative properties of high-T QCD from lattice ... - Physics

(Non)-perturbative properties of high-T QCD from lattice ... - Physics

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Singlet free energyand asymptotic freedompure gauge: O.Kaczmarek, FK, P. Petreczky, F. Zantow, PRD70 (2005) 0745052-flavor <strong>QCD</strong>: O.Kaczmarek, F. Zantow, Phys. Rev. D71 (2005) 114510singlet free energy defines a running coupling:α eff = 3r24dF 1 (r, T)dr(in Coulomb gauge)large distance: constantCoulomb term (string model)0.60.50.40.30.2short distance: running couplingα(r) <strong>from</strong> (T = 0), 3-loop0.1(S. Necco, R. Sommer,Nucl. Phys. B622 (2002) 328) 0111 000111 000111 000111 000111 000α qq (r,T)α ≡ π/16r [fm]0.01 0.1short distance physics ⇔ vacuum physics00 1100 1100 11000 111000 111000 111T/T cT=01.051.101.201.301.501.603.006.009.0012.0T-dependence starts in non-<strong>perturbative</strong>regime for T< ∼ 3 T cF. Karsch, x<strong>QCD</strong>, July 2008 – p. 11/32

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