Bruckmann, Falk and Keppeler, Stefan and Panero, Marco and Wettig, Tilo (2008) Polyakov loops and spectral properties of the staggered Dirac operator. PHYSICAL REVIEW D, 78 (3): 034503. ISSN 2470-0010, 2470-0029
Full text not available from this repository.Abstract
We study the spectrum of the staggered Dirac operator in SU(2) gauge fields close to the free limit, for both the fundamental and the adjoint representation. Numerically we find a characteristic cluster structure with spacings of adjacent levels separating into three scales. We derive an analytical formula which explains the emergence of these different spectral scales. The behavior on the two coarser scales is determined by the lattice geometry and the Polyakov loops, respectively. Furthermore, we analyze the spectral statistics on all three scales, comparing to predictions from random matrix theory.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RANDOM-MATRIX THEORY; LATTICE GAUGE-THEORIES; CHIRAL CONDENSATE; SUM-RULES; QCD; UNIVERSALITY; SYMMETRY; DENSITY; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Oct 2020 06:09 |
| Last Modified: | 28 Oct 2020 06:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/30564 |
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