1997/05/19 by J. J. M. Verbaarschot, Verbaarschot, J. J. M.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Random Matrices and Applications #Theoretical and Computational Physics #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9705355
12 pages, 3 figures, Latex, Proceedings of the XXV Hirschegg Workshop on "QCD Phase Transitions", January 1997
arxiv created 1997/05/19 · openalex publication_date 1997/05/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
According to the Banks-Casher formula the chiral order parameter is directly related to the spectrum of the Dirac operator. In this lecture, we will argue that some properties of the Dirac spectrum are universal and can be obtained from a random matrix theory with the global symmetries of the QCD partition function. In particular, this is true for the spectrum near zero on the scale of a typical level spacing. Alternatively, the chiral order parameter can be characterized by the zeros of the partition function. We will analyze such zeros for a random matrix model at nonzero chemical potential.