Spectrum of the U(1) staggered Dirac operator in four dimensions

Details Spectrum of the U(1) staggered Dirac operator in four dimensions Spectrum of the U(1) staggered Dirac operator in four dimensions

2000-07-08

arxiv.org/abs/hep-lat/0007009v1

Phys.Rev. D63 (2001) 014504

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 3 figures

Scientific paper

10.1103/PhysRevD.63.014504

We compare the low-lying spectrum of the staggered Dirac operator in the confining phase of compact U(1) gauge theory on the lattice to predictions of chiral random matrix theory. The small eigenvalues contribute to the chiral condensate similar as for the SU(2) and SU(3) gauge groups. Agreement with the chiral unitary ensemble is observed below the Thouless energy, which is extracted from the data and found to scale with the lattice size according to theoretical predictions.

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