Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/101176
Title: General bounds on the Wilson-Dirac operator
Authors: Adams, David H.
Keywords: Physical and Mathematical Sciences
Issue Date: 2003
Source: Adams, D. H. (2003). General bounds on the Wilson-Dirac operator. Physical Review D, 68(6),065009.
Series/Report no.: Physical review D
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.
URI: https://hdl.handle.net/10356/101176
http://hdl.handle.net/10220/18274
DOI: 10.1103/PhysRevD.68.065009
Rights: © 2003 The American Physical Society. This paper was published in Physical Review D and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevD.68.065009. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

Files in This Item:
File Description SizeFormat 
General bounds on the Wilson-Dirac operator.pdf135.18 kBAdobe PDFThumbnail
View/Open

SCOPUSTM   
Citations 20

8
Updated on Dec 1, 2022

Web of ScienceTM
Citations 20

9
Updated on Dec 4, 2022

Page view(s) 50

533
Updated on Dec 8, 2022

Download(s) 20

235
Updated on Dec 8, 2022

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.