Smallest Dirac eigenvalue distribution from random matrix theory
- 16 September 1998
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 58 (8)
- https://doi.org/10.1103/physrevd.58.087704
Abstract
We derive the hole probability and the distribution of the smallest eigenvalue of chiral Hermitian random matrices corresponding to Dirac operators coupled to massive quarks in QCD. They are expressed in terms of the QCD partition function in the mesoscopic regime. Their universality is explicitly related to that of the microscopic massive Bessel kernel. DOI: http://dx.doi.org/10.1103/PhysRevD.58.087704 © 1998 The American Physical SocietyKeywords
All Related Versions
This publication has 26 references indexed in Scilit:
- Universal spectral correlators and massive Dirac operatorsNuclear Physics B, 1998
- Microscopic Universality in the Spectrum of the Lattice Dirac OperatorPhysical Review Letters, 1998
- Universality of random matrices in the microscopic limit and the Dirac operator spectrumNuclear Physics B, 1997
- Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limitPhysics Letters B, 1996
- The spectrum of the Dirac operator near zero virtuality for Nc = 2 and chiral random matrix theoryNuclear Physics B, 1994
- Spectral sum rules and Selberg's integral formulaPhysics Letters B, 1994
- Spectrum of the QCD Dirac operator and chiral random matrix theoryPhysical Review Letters, 1994
- Random matrix theory and spectral sum rules for the Dirac operator in QCDNuclear Physics A, 1993
- Spectral density of the QCD Dirac operator near zero virtualityPhysical Review Letters, 1993
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation LawsPhysical Review Letters, 1984