Violations of parity and charge conjugation in the {theta} vacuum with imaginary chemical potential

Kouno, Hiroaki; Sakai, Yuji; Sasaki, Takahiro; Kashiwa, Kouji; Yahiro, Masanobu

doi:10.1103/PHYSREVD.83.076009

Title: Violations of parity and charge conjugation in the {theta} vacuum with imaginary chemical potential

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Abstract

Charge conjugation (C) and parity (P) are exact symmetries at {theta}={pi} and {Theta}{identical_to}{mu}/(iT)={pi}, where {theta} is the parameter of the so-called {theta} vacuum, {mu} 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 {theta}={Theta}=0 are remnants of the P restoration and the C breaking at {theta}={Theta}={pi}, respectively.

Authors:

Kouno, Hiroaki ^[1]; Sakai, Yuji; Sasaki, Takahiro; Kashiwa, Kouji; Yahiro, Masanobu ^[2]

Department of Physics, Saga University, Saga 840-8502 (Japan)
Department of Physics, Graduate School of Sciences, Kyushu University, Fukuoka 812-8581 (Japan)

Publication Date:: Fri Apr 01 00:00:00 EDT 2011

OSTI Identifier:: 21537764

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 83; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.83.076009; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; PARITY; QUARKS; SIMULATION; SYMMETRY BREAKING; TEMPERATURE DEPENDENCE; FERMIONS; PARTICLE PROPERTIES; SYMMETRY

Citation Formats


                    Kouno, Hiroaki, Sakai, Yuji, Sasaki, Takahiro, Kashiwa, Kouji, and Yahiro, Masanobu. Violations of parity and charge conjugation in the {theta} vacuum with imaginary chemical potential.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVD.83.076009.

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                    Kouno, Hiroaki, Sakai, Yuji, Sasaki, Takahiro, Kashiwa, Kouji, & Yahiro, Masanobu. Violations of parity and charge conjugation in the {theta} vacuum with imaginary chemical potential.  United States.  https://doi.org/10.1103/PHYSREVD.83.076009

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                    Kouno, Hiroaki, Sakai, Yuji, Sasaki, Takahiro, Kashiwa, Kouji, and Yahiro, Masanobu. 2011.  
        "Violations of parity and charge conjugation in the {theta} vacuum with imaginary chemical potential".  United States.  https://doi.org/10.1103/PHYSREVD.83.076009.

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@article{osti_21537764,

  title        = {Violations of parity and charge conjugation in the {theta} vacuum with imaginary chemical potential},

  author       = {Kouno, Hiroaki and Sakai, Yuji and Sasaki, Takahiro and Kashiwa, Kouji and Yahiro, Masanobu},

  abstractNote = {Charge conjugation (C) and parity (P) are exact symmetries at {theta}={pi} and {Theta}{identical_to}{mu}/(iT)={pi}, where {theta} is the parameter of the so-called {theta} vacuum, {mu} 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 {theta}={Theta}=0 are remnants of the P restoration and the C breaking at {theta}={Theta}={pi}, respectively.},

  doi          = {10.1103/PHYSREVD.83.076009},

  url          = {https://www.osti.gov/biblio/21537764},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 7,

  volume       = 83,

  place        = {United States},

  year         = {Fri Apr 01 00:00:00 EDT 2011},

  month        = {Fri Apr 01 00:00:00 EDT 2011}

}

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