Universal fluctuations in spectra of the lattice Dirac operator
Jan, 199511 pages
Published in:
- Phys.Rev.Lett. 74 (1995) 3920-3923
e-Print:
- hep-lat/9501025 [hep-lat]
Report number:
- SUNY-NTG-95-3
Citations per year
Abstract: (arXiv)
Recently, Kalkreuter obtained the complete Dirac spectrum for an lattice gauge theory with dynamical staggered fermions on a lattice for and . We performed a statistical analysis of his data and found that the eigenvalue correlations can be described by the Gaussian Symplectic Ensemble. In particular, long range fluctuations are strongly suppressed: the variance of a sequence of levels containing eigenvalues on average is given by instead of for a random sequence of levels. Our findings are in agreement with the anti-unitary symmetry of the lattice Dirac operator for with staggered fermions which differs from the continuuum theory. For we predict that the eigenvalue correlations are given by the Gaussian Unitary Ensemble.Note:
- 8 pages + 3 figures (will be faxed on request)
- gauge field theory: SU(2)
- lattice field theory
- operator: Dirac
- spectrum: fluctuation
- fluctuation: spectrum
- correlation
- statistical analysis
- numerical calculations: Monte Carlo
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