Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials

Abstract

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.

12 pages, 18 figures. Typos were revised. Symbols /P and /C were added in Figures 8a and 8b. Colors of the figures were changed. Some sentences were added and revised

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Cited by in corpus (10)

• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Confinement and Z_3 symmetry in three-flavor QCD
• Anomaly matching in QCD thermal phase transition
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• The Roberge-Weiss transition and 't Hooft loops
• Topological deconfinement transition in QCD at finite isospin density
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly