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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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F. Karsch, x<strong>QCD</strong>, July 2008 – p. 5/32Hierachy <strong>of</strong> scale ?Perturbation theory provides a hierachy <strong>of</strong> length scalesT ≫ gT ≫ g 2 T ...⇒ guiding principle for effective theories,resummation, dimensional reduction...These scales are not well separated close to T c !!Early <strong>lattice</strong> results show that g 2 (T) > 1 even at T ∼ 5T cG. Boyd et al, NP B469 (1996) 419: SU(3) thermodynamics.....one has to conclude that the temperature dependent runningcoupling has to be large, g 2 (T) ≃ 2 even at T ≃ 5T cthe Debye screening mass is large close to T cthe spatial string tension does not vanish above T c√σs ≠ 0 ⇒ the QGP is ”non-<strong>perturbative</strong>” up to very <strong>high</strong> T

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