Abstract:
We review our recent studies on chiral crossover and chiral phase transition temperatures in this special issue. We will firstly present a lattice QCD based determination of the chiral crossover transition temperature at zero and nonzero baryon chemical potential
\mu_\rmB which is
T_\rmpc\!=\!(156.5\pm1.5) MeV. At nonzero temperature the curvatures of the chiral crossover transition line are
\kappa^\rmB_2=0.012(4) and
\kappa^\rmB_4=0.000(4) for the 2nd and 4th order of
\mu_\rmB/T. We will then present a first determination of chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark. After thermodynamic, continuum and chiral extrapolations we find the chiral phase transition temperature
T_\rmc^0\!=\!132^+3_-6 MeV.