U(1) staggered Dirac operator and random matrix

Details U(1) staggered Dirac operator and random matrix U(1) staggered Dirac operator and random matrix

1999-08-20

arxiv.org/abs/hep-lat/9908030v1

Nucl.Phys.Proc.Suppl. 83 (2000) 917-919

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99 (theoretical developments), 3 pages, 7 figures

Scientific paper

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 distribution of the unfolded eigenvalues is well described by the chiral unitary ensemble. The same is true for the distribution of the smallest eigenvalue and the microscopic spectral density in the confined phase. The physical origin of the chiral condensate in this phase deserves further study.

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