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

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F. Karsch, xQCD, July 2008 – p. 17/32Pressure, Energy and Entropyp/T 4 from integration over (ǫ − 3p)/T 5 ;p(T 0 ) = 0 at T 0 = 0 MeV(exponential extrapolation);systematic error on 3p/T 4 ≃ 0.33good scaling behavior; good agreement between different discretization schemes1614121086420.4 0.6 0.8 1 1.2ε/T 4 Tr 03p/T 4p4asqtadp4asqtadT [MeV]ε SB /T 4hotQCDpreliminary0100 150 200 250 300 350 400 450 500 55020151050.4 0.6 0.8 1 1.2s/T 3 Tr 0s SB /T 3p4: N τ =68asqtad: N τ =68T [MeV]0100 150 200 250 300 350 400 450 500 550
F. Karsch, xQCD, July 2008 – p. 18/32Hadronic fluctuations at µ > 0 fromTaylor expansion coefficients at µ = 0n f = 2, m π ≃ 770 MeV: S. Ejiri, FK, K.Redlich, PLB633 (2006) 275n f = 2 + 1, m π ≃ 220 MeV: RBC-Bielefeld, preliminaryTaylor expansion of bulk thermodynamics in terms of µ u,d,spT 41≡V T ln Z(V, T, µ u, µ 3 d , µ s )= ∑ ( ) i ( ) j (µu µu µsc i,j,kT T Ti,j,k) kexpansion coefficients evaluated at µ u,d,s = 0 are related tofluctuations of B, S, Q at µ B,S,Q = 0:⇑ baryon number, strangeness, charge fluctuationsevent-by-event fluctuations at RHIC and LHC
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Page 3: Thermal scales in QCDthe hard scale
Page 7 and 8: Screening of heavy quark free energ
Page 9 and 10: Non-perturbative Debye screeninglea
Page 11 and 12: Non-perturbative Debye screeningµ
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Page 17 and 18: Singlet free energyand asymptotic f
Page 21 and 22: The pressure revisitedT> ∼(2-3)T
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Page 29 and 30: Christian Schmidt (for RBC-Bielefel
Page 31 and 32: Quark number in Boltzmann approxima
Page 39 and 40: χ-symmetry restoration300250χ-sym
Page 41 and 42: Deconfinement and χ-symmetryand bu
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(Non)-perturbative properties of high-T QCD from lattice ... - Physics

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