Comparing lattice Dirac operators in smooth instanton backgrounds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 fermions 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.
11 pages, Latex. Discussion of a second version of the overlap operator added. To appear in Physics Letters B

Keywords

High Energy Physics - Lattice

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/202433

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-lat/0108001
 http://arxiv.org/abs/hep-lat/0108001
 Phys.Lett.B522:194-200,2001
 doi:10.1016/S0370-2693(01)01289-8

Collections

arXiv