Universal Fluctuations in Spectra of the Lattice Dirac Operator
Journal Article
·
· Physical Review Letters
- Department of Physics, SUNY at Stony Brook, Stony Brook, New York 11794 (United States)
Recently, Kalkreuter obtained the complete Dirac spectrum for an SU(2) lattice gauge theory. We performed a statistical analysis of his data and found that the eigenvalue correlations can be described by the Gaussian symplectic ensemble. Long range fluctuations are strongly suppressed: The variance of a sequence of levels containing {ital n} eigenvalues on average is given by (1/2{pi}{sup 2})(ln{ital n}+const). Our findings are in agreement with the antiunitary symmetry of the lattice Dirac operator for {ital N}{sub {ital c}}=2 with staggered fermions. For {ital N}{sub {ital c}}=3 we predict that the eigenvalue correlations are given by the Gaussian unitary ensemble.
- Research Organization:
- New York State University Research Foundation
- DOE Contract Number:
- FG02-88ER40388
- OSTI ID:
- 63662
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 74; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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