(Non)-perturbative properties of high-T QCD from lattice ... - Physics
(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. 19/32Hadronic fluctuations at µ > 0 <strong>from</strong>Taylor 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, preliminary<strong>high</strong>er derivatives ⇒ <strong>high</strong>er momentsmixed derivatives ⇒ correlations2c x 2 = ∂2 p/T 4∂(µ x /T) 2 = 1V T 3 〈(δN x) 2 〉 µ=0 = 1V T 3 〈N2 x 〉 µ=024c x 4 = ∂4 p/T 4∂(µ x /T) 4 = 1V T 3 `〈(δNx ) 4 〉 − 3〈(δN x ) 2 〉 2´µ=0 = 1V T 3 `〈N4x 〉 − 3〈N 2 x〉 2´µ=04c xy22 = ∂ 4 p/T 4∂(µ x /T) 2 ∂(µ y /T) 2 = 1V T 3 ˆ〈N2x N 2 y 〉 − 2〈N x N y 〉 2 − 〈N 2 x〉〈N 2 y 〉˜µ=0with x = q, s