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

F. Karsch, xQCD, July 2008 – p. 25/32Hadronic fluctuations andchiral symmetry restorationexpect 2 nd order transition in 3-d, O(4) symmetry class;scaling field: t =˛T − T cT c„ « 2 µq˛˛˛˛ + A , µ crit = 0T csingular part: f s (T, µ u , µ d ) = b −1 f s (tb 1/(2−α) ) ∼ t 2−α∂ 2 ln Z∂µ 2 q∼ t 1−α ,∂ 4 ln Z∂µ 4 q∼ t −α (µ = 0)O(4)/O(2): α < 0, small ⇒〈(δN q ) 2 〉 dominated by T-dependence of regular part〈(δN q ) 4 〉 develops a cusp