QCD-inspired spectra from Blue's functions

Maciej A. Nowak, G. Papp, Ismail Zahed

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We use the law of addition in random matrix theory to analyze the spectral distributions of a variety of chiral random matrix models as inspired from QCD whether through symmetries or models. In terms of the Blue's functions recently discussed by Zee, we show that most of the spectral distributions in the macroscopic limit and the quenched approximation, follow algebraically from the discontinuity of a pertinent solution to a cubic (Cardano) or a quartic (Ferrari) equation. We use the end-point equation of the energy spectra in chiral random matrix models to argue for novel phase structures, in which the Dirac density of states plays the role of an order parameter.

Original languageEnglish
Pages (from-to)137-143
Number of pages7
JournalPhysics Letters B
Volume389
Issue number1
DOIs
Publication statusPublished - Dec 5 1996

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quantum chromodynamics
quartic equations
matrix theory
discontinuity
energy spectra
symmetry
approximation

Keywords

  • Dirac spectrum
  • Nonperturbative QCD
  • Phase transitions
  • Random matrix models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

QCD-inspired spectra from Blue's functions. / Nowak, Maciej A.; Papp, G.; Zahed, Ismail.

In: Physics Letters B, Vol. 389, No. 1, 05.12.1996, p. 137-143.

Research output: Contribution to journalArticle

Nowak, Maciej A. ; Papp, G. ; Zahed, Ismail. / QCD-inspired spectra from Blue's functions. In: Physics Letters B. 1996 ; Vol. 389, No. 1. pp. 137-143.
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