Goeckeler, Meinulf and Hehl, H. and Rakow, P. E. L. and Schaefer, Andreas and Wettig, T. (2002) Spectrum of the SU(3) Dirac operator on the lattice: Transition from random matrix theory to chiral perturbation theory. PHYSICAL REVIEW D, 65 (3): 034503. ISSN 2470-0010, 2470-0029
Full text not available from this repository.Abstract
We calculate complete spectra of the Kogut-Susskind Dirac operator on the lattice in quenched SU(3) gauge theory for various values of the coupling constant and lattice size. From these spectra we compute the connected and disconnected scalar susceptibilities and find agreement with chiral random matrix theory up to a certain energy scale, the Thouless energy. The dependence of this scale on the lattice volume is analyzed. In the case of the connected susceptibility this dependence is anomalous, and we explain the reason for this. We present a model of chiral perturbation theory that is capable of describing the data beyond the Thouless energy and that has a common range of applicability with chiral random matrix theory.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MICROSCOPIC UNIVERSALITY; STAGGERED FERMIONS; QCD; EIGENVALUES; FLUCTUATIONS; DENSITY; ENERGY; EDGE; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Nov 2021 07:45 |
| Last Modified: | 15 Nov 2021 07:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40654 |
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