Random matrix theory and chiral symmetry in QCD

JJM Verbaarschot, T Wettig - Annual Review of Nuclear and …, 2000 - annualreviews.org
▪ Abstract Random matrix theory is a powerful way to describe universal correlations of
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …

Universality crossover between chiral random matrix ensembles<? format?> and twisted SU (2) lattice Dirac spectra

SM Nishigaki - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
Motivated by the statistical fluctuation of Dirac spectrum of QCD-like theories subjected to
(pseudo) reality-violating perturbations and in the ε regime, we compute the smallest …

Chiral condensate in the quenched Schwinger model

J Kiskis, R Narayanan - Physical Review D, 2000 - APS
USING STANDARD SYSTE Page 1 Chiral condensate in the quenched Schwinger model
Joe Kiskis Department of Physics, University of California, Davis, California 95616 …

Random matrix model for staggered fermions

P Bialas, Z Burda, B Petersson - … Review D—Particles, Fields, Gravitation, and …, 2011 - APS
We show that the lowest part of the eigenvalue density of the staggered fermion operator in
lattice QCD 3 at small lattice coupling constant β has exactly the same shape as in QCD 4 …

Randomness on the lattice

JJM Verbaarschot - Nuclear Physics B-Proceedings Supplements, 2000 - Elsevier
In this lecture we review recent lattice QCD studies of the statistical properties of the
eigenvalues of the QCD Dirac operator. We find that the fluctuations of the smallest Dirac …

Dirac spectra and real QCD at nonzero chemical potential

D Toublan, JJM Verbaarschot - … Honoring the 60th Birthday of Arkady …, 2002 - World Scientific
We show that QCD Dirac spectra well below ΛQCD, both at zero and at nonzero chemical
potential, can be obtained from a chiral Lagrangian. At nonzero chemical potential …

[PDF][PDF] SCIENTIFIC PRESENTATIONS: 8TH MEETING OF THE MANAGEMENT STEERING COMMITTEE OF THE RIKEN BNL COLLABORATION,(RBRC SCIENTIFIC …

TD LEE - 2002 - osti.gov
The first years were dedicated to the establishment of a theory group. This has essentially
been completed consisting of Fellows, Postdocs, and RHIC Physics/University Fellows, with …