Gattringer, Christof and Solbrig, Stefan (2005) Remnant index theorem and low-lying eigenmodes for twisted mass fermions. PHYSICS LETTERS B, 621 (1-2). pp. 195-200. ISSN 0370-2693,
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We analyze the low-lying spectrum and eigenmodes of lattice Dirac operators with a twisted mass term. The twist term expels the eigenvalues from a strip in the complex plane and all eigenmodes obtain a non-vanishing matrix element with gamma(5). For a twisted Ginsparg-Wilson operator the spectrum is located on two arcs in the complex plane. Modes due to non-trivial topological charge of the underlying gauge field have their eigenvalues at the edges of these arcs and obey a remnant index theorem. For configurations in the confined phase we find that the twist mainly affects the zero modes, while the bulk of the spectrum is essentially unchanged. (c) 2005 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LATTICE QCD; CHIRAL SYMMETRY; WILSON FERMIONS; BREAKING; lattice gauge theory; twisted mass; topology; index theorem |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 May 2021 09:29 |
| Last Modified: | 03 May 2021 09:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35774 |
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