Berbenni-Bitsch, M. E. and Göckeler, M. and Guhr, T. and Jackson, A. D. and Ma, J.-Z. and Meyer, S. and Schäfer, Andreas and Weidenmüller, H. A. and Wettig, T. and Wilke, T. (1998) Crossover to non-universal microscopic spectral fluctuations in lattice gauge theory. PHYSICS LETTERS B, 438 (1-2). pp. 14-20. ISSN 0370-2693, 1873-2445
Full text not available from this repository.Abstract
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. (C) 1998 Elsevier Science B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHIRAL-SYMMETRY-BREAKING; RANDOM-MATRIX MODEL; DIRAC OPERATOR; QCD; chiral random matrix models; lattice simulations of QCD; spectrum of the dirac operator; scalar susceptibility; universal behaviour; Thouless energy |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Feb 2023 06:04 |
| Last Modified: | 23 Feb 2023 06:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/49437 |
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