Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/55595
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Type: | Journal article |
Title: | General bounds on the Wilson-Dirac operator |
Author: | Adams, David Henry |
Citation: | Physical Review D, 2003; 68(6):065009 |
Publisher: | American Physical Society |
Issue Date: | 2003 |
ISSN: | 1550-7998 |
School/Discipline: | School of Mathematical Sciences |
Statement of Responsibility: | David H. Adams |
Abstract: | Lower bounds on the magnitude of the spectrum of the Hermitian Wilson-Dirac operator H(m) have previously been derived for 0<m<2 when the lattice gauge field satisfies a certain smoothness condition. In this paper lower bounds are derived for 2p-2<m<2p for general p=1,2,…,d where d is the spacetime dimension. The bounds can alternatively be viewed as localization bounds on the real spectrum of the usual Wilson-Dirac operator. They are needed for the rigorous evaluation of the classical continuum limit of the axial anomaly and the index of the overlap Dirac operator at general values of m, and provide information on the topological phase structure of overlap fermions. They are also useful for understanding the instanton size dependence of the real spectrum of the Wilson-Dirac operator in an instanton background. |
Rights: | ©2003 American Physical Society |
DOI: | 10.1103/PhysRevD.68.065009 |
Appears in Collections: | Mathematical Sciences publications |
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