Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-04-28
Phys.Lett. B438 (1998) 14-20
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 7 figures, misprint in Eq. (13) corrected, minor modifications, to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(98)01042-9
The spectrum of the Dirac operator near zero virtuality obtained in lattice gauge simulations is known to be universally described by chiral random matrix theory. We address the question of the maximum energy for which this universality persists. For this purpose, we analyze large ensembles of complete spectra of the Euclidean Dirac operator for staggered fermions. We calculate the disconnected scalar susceptibility and the microscopic number variance for the chiral symplectic ensemble of random matrices and compare the results with lattice Dirac spectra for quenched SU(2). The crossover to a non-universal regime is clearly identified and found to scale with the square of the linear lattice size and with $f_{\pi}^2$, in agreement with theoretical expectations.
Berbenni-Bitsch M. E.
Göckeler Meinulf
Guhr Th.
Jackson Andrew D.
Ma Jian-Zhong
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