Spontaneous parity and charge-conjugation violations at real isospin and   imaginary baryon chemical potentials
  The phase structure of two-flavor QCD is investigated at real isospin and imaginary quark chemical potentials by using the Polyakov-loop extended Nambu--Jona-Lasinio model. In the region, parity symmetry is spontaneously broken by the pion superfluidity phase transition, whereas charge-conjugation symmetry is spontaneously violated by the Roberge-Weiss transition. The chiral (deconfinement) crossover at zero isospin and quark chemical potentials is a remnant of the parity (charge-conjugation) violation. The interplay between the parity and charge-conjugation violations are analyzed, and it is investigated how the interplay is related to the correlation between the chiral and deconfinement crossovers at zero isospin and quark chemical potentials. 
Hiroaki Kouno, Mizuho Kishikawa, Takahiro Sasaki, Yuji Sakai and   Masanobu Yahiro
hep-ph hep-lat nucl-th