### Abstract

We provide a schematic view to some general aspects of chiral symmetry in matter using mean-field arguments. We use a simplified version of the Nambu-Jona-Lasinio model to formulate the ideas behind the thermodynamics at work in a variety of models with spontaneously broken chiral symmetry but without confinement. This version of the model is mapped onto chiral random matrix models, with some emphasis on the bulk behavior of the corresponding Dirac spectrum. Phase changes in the simplified model show up in the form of a rearrangement in the Dirac spectrum, with edge singularities that follow from mean-field exponents. The results are shared by a variety of models, and seem to be in quantitative agreement with some QCD lattice simulations. We comment on the relevance of microscopic and macroscopic universality in random matrix models, and the possible motivation for these models from QCD.

Original language | English |
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Title of host publication | Acta Physica Polonica B |

Pages | 3271-3297 |

Number of pages | 27 |

Volume | 27 |

Edition | 11 |

Publication status | Published - 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Acta Physica Polonica B*(11 ed., Vol. 27, pp. 3271-3297)

**Chiral symmetry in matter.** / Janik, R. A.; Nowak, M. A.; Papp, G.; Zahed, I.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Acta Physica Polonica B.*11 edn, vol. 27, pp. 3271-3297.

}

TY - CHAP

T1 - Chiral symmetry in matter

AU - Janik, R. A.

AU - Nowak, M. A.

AU - Papp, G.

AU - Zahed, I.

PY - 1996

Y1 - 1996

N2 - We provide a schematic view to some general aspects of chiral symmetry in matter using mean-field arguments. We use a simplified version of the Nambu-Jona-Lasinio model to formulate the ideas behind the thermodynamics at work in a variety of models with spontaneously broken chiral symmetry but without confinement. This version of the model is mapped onto chiral random matrix models, with some emphasis on the bulk behavior of the corresponding Dirac spectrum. Phase changes in the simplified model show up in the form of a rearrangement in the Dirac spectrum, with edge singularities that follow from mean-field exponents. The results are shared by a variety of models, and seem to be in quantitative agreement with some QCD lattice simulations. We comment on the relevance of microscopic and macroscopic universality in random matrix models, and the possible motivation for these models from QCD.

AB - We provide a schematic view to some general aspects of chiral symmetry in matter using mean-field arguments. We use a simplified version of the Nambu-Jona-Lasinio model to formulate the ideas behind the thermodynamics at work in a variety of models with spontaneously broken chiral symmetry but without confinement. This version of the model is mapped onto chiral random matrix models, with some emphasis on the bulk behavior of the corresponding Dirac spectrum. Phase changes in the simplified model show up in the form of a rearrangement in the Dirac spectrum, with edge singularities that follow from mean-field exponents. The results are shared by a variety of models, and seem to be in quantitative agreement with some QCD lattice simulations. We comment on the relevance of microscopic and macroscopic universality in random matrix models, and the possible motivation for these models from QCD.

UR - http://www.scopus.com/inward/record.url?scp=0001218920&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001218920&partnerID=8YFLogxK

M3 - Chapter

VL - 27

SP - 3271

EP - 3297

BT - Acta Physica Polonica B

ER -