Quark-mass dependence of the three-flavor QCD phase diagram at zero and   imaginary chemical potential: Model prediction
  We draw the three-flavor phase diagram as a function of light- and strange-quark masses for both zero and imaginary quark-number chemical potential, using the Polyakov-loop extended Nambu-Jona-Lasinio model with an effective four-quark vertex depending on the Polyakov loop. The model prediction is qualitatively consistent with 2+1 flavor lattice QCD prediction at zero chemical potential and with degenerate three-flavor lattice QCD prediction at imaginary chemical potential. 
Takahiro Sasaki, Yuji Sakai, Hiroaki Kouno and Masanobu Yahiro
hep-ph hep-lat nucl-th