Gattringer, Christof and Goeckeler, Meinulf and Lang, C. B. and Rakow, P. E. L. and Schaefer, Andreas (2001) Comparing lattice Dirac operators in smooth instanton backgrounds. PHYSICS LETTERS B, 522 (1-2). pp. 194-200. ISSN 0370-2693
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We compare the behavior of different lattice Dirac operators in gauge backgrounds which are lattice discretizations of a classical instanton. In particular, we analyze the standard Wilson operator, a chirally improved Dirac operator and the overlap operators constructed from these two operators. We discuss the flow of real eigenvalues as a function of the instanton size. An analysis of the eigenvectors shows that overlap fern-Lions with the Wilson operator as input operator have difficulties with reproducing the continuum zero mode already for moderately small instantons. This problem is greatly reduced when using the chirally improved operator for the overlap projection. (C) 2001 Elsevier Science B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GINSPARG-WILSON RELATION; ULTRALOCALITY; SYMMETRY; FERMIONS; QCD; lattice QCD; instantons; Ginsparg-Wilson fermions |
| 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 Nov 2021 09:29 |
| Last Modified: | 23 Nov 2021 09:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40878 |
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