Analyzing the spectrum of general, non-hermitian Dirac operators

Citation
C. Gattringer et I. Hip, Analyzing the spectrum of general, non-hermitian Dirac operators, NUCL PH B-P, 73, 1999, pp. 871-873
Citations number
18
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
73
Year of publication
1999
Pages
871 - 873
Database
ISI
SICI code
0920-5632(199903)73:<871:ATSOGN>2.0.ZU;2-9
Abstract
We discuss the computational problems when analyzing general, non-hermitian matrices and in particular the un-modified Wilson lattice Dirac operator. We report on our experiences with the Implicitly Restarted Arnoldi Method. The eigenstates of the Wilson-Dirac operator which have real eigenvalues an d correspond to zero modes in the continuum are analyzed by correlating the size of the eigenvalues with the chirality of the eigenstates.