TY - JOUR

T1 - Violations of parity and charge conjugation in the θ vacuum with imaginary chemical potential

AU - Kouno, Hiroaki

AU - Sakai, Yuji

AU - Sasaki, Takahiro

AU - Kashiwa, Kouji

AU - Yahiro, Masanobu

PY - 2011/4/15

Y1 - 2011/4/15

N2 - Charge conjugation (C) and parity (P) are exact symmetries at θ=π and Θμ/(iT)=π, where θ is the parameter of the so-called θ vacuum, μ is the imaginary quark-number chemical potential and T is the temperature. Spontaneous breakings of these discrete symmetries are investigated by the Polyakov-loop extended Nambu-Jona-Lasinio model. At zero T, P symmetry is spontaneously broken while C symmetry is conserved. As T increases, P symmetry is restored just after C symmetry is spontaneously broken, so that either P or C symmetry or both the symmetries are spontaneously broken for any T. The chiral-symmetry restoration and the deconfinement transition at θ=Θ=0 are remnants of the P restoration and the C breaking at θ=Θ=π, respectively.

AB - Charge conjugation (C) and parity (P) are exact symmetries at θ=π and Θμ/(iT)=π, where θ is the parameter of the so-called θ vacuum, μ is the imaginary quark-number chemical potential and T is the temperature. Spontaneous breakings of these discrete symmetries are investigated by the Polyakov-loop extended Nambu-Jona-Lasinio model. At zero T, P symmetry is spontaneously broken while C symmetry is conserved. As T increases, P symmetry is restored just after C symmetry is spontaneously broken, so that either P or C symmetry or both the symmetries are spontaneously broken for any T. The chiral-symmetry restoration and the deconfinement transition at θ=Θ=0 are remnants of the P restoration and the C breaking at θ=Θ=π, respectively.

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U2 - 10.1103/PhysRevD.83.076009

DO - 10.1103/PhysRevD.83.076009

M3 - Article

AN - SCOPUS:79960702032

SN - 1550-7998

VL - 83

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 7

M1 - 076009

ER -