Chiral symmetry in matter

R. A. Janik, M. A. Nowak, G. Papp, I. Zahed

Research output: Article

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)3271-3297
Number of pages27
JournalActa Physica Polonica B
Issue number11
Publication statusPublished - dec. 1 1996


ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Janik, R. A., Nowak, M. A., Papp, G., & Zahed, I. (1996). Chiral symmetry in matter. Acta Physica Polonica B, 27(11), 3271-3297.