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

Journal Article · · Physical Review D
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 similarly to 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.
Sponsoring Organization:
(US)
OSTI ID:
40204980
Journal Information:
Physical Review D, Journal Name: Physical Review D Journal Issue: 1 Vol. 63; ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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