Analysis of nonperturbative flavor violation at chiral crossover criticality in QCD

We discuss the violation of quark-flavor symmetry at high temperatures, induced from nonperturbative thermal loop corrections and axial anomaly, based on a three-flavor linear-sigma model including an axial-anomaly induced-flavor breaking term. employ analysis following Cornwall-Jackiw-Tomboulis formalism, show that undergoes chiral crossover with pseudo-critical temperature, consistently lattice observations. find features regarding flavor eminent around above temperature: i) up-and down-quark condensates drop faster than strange quark's toward criticality, but still keep nonzero value even going far critical temperature; ii) introduced anomaly-related flavor-breaking effect acts as catalyzer restoration, reduces amount in up, down quark condensates; iii) dramatic deformation for meson mixing structure is observed, which anomaly-induced favor found to be almost irrelevant; iv) spectroscopy gets corrected by net effects, where scalar mass hierarchy (inverse hierarchy) significantly altered presence breaking; v) topological susceptibility contribution surviving condensate, cannot dictated perturbation theory, deviates dilute instanton gas prediction. There plays role destructive interference violation; vi) U(1)_A enhanced may account tension effective restoration observed lattices two flavors 2+1 near limit.