The construction of generalized Dirac operators on the lattice

Authors
Hasenfratz, P Hauswirth, S Holland, K Jorg, T Niedermayer, F Wenger, U
Citation
P. Hasenfratz et al., The construction of generalized Dirac operators on the lattice, INT J MOD C, 12(5), 2001, pp. 691-707
Citations number
49
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831 → ACNP
Volume
12
Issue
5
Year of publication
2001
Pages
691 - 707
Database
ISI
SICI code
0129-1831(200106)12:5<691:TCOGDO>2.0.ZU;2-J
Abstract
We discuss the steps to construct Dirac operators, which have arbitrary fer mion offsets, gauge paths, a general structure in Dirac space and satisfy t he basic symmetries (gauge symmetry, hermiticity condition, charge conjugat ion, hypercubic rotations and reflections) on the lattice. We give an exten sive set of examples and offer help to add further structures.