U(1) staggered Dirac operator and random matrix theory

Citation
Ba. Berg et al., U(1) staggered Dirac operator and random matrix theory, NUCL PH B-P, 83-4, 2000, pp. 917-919
Citations number
13
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
83-4
Year of publication
2000
Pages
917 - 919
Database
ISI
SICI code
0920-5632(200004)83-4:<917:USDOAR>2.0.ZU;2-4
Abstract
We investigate the spectrum of the staggered Dirac operator in 4d quenched U(1) lattice gauge theory and its relationship to random matrix theory. In the confined as well as in the Coulomb phase the nearest-neighbor spacing d istribution of the unfolded eigenvalues is well described by the chiral uni tary ensemble. The same is true for the distribution of the smallest eigenv alue and the microscopic spectral density in the confined phase. The physic al origin of the chiral condensate in this phase deserves further study.