THE CONSTRUCTION OF GENERALIZED DIRAC OPERATORS ON THE LATTICE

P. Hasenfratz, S. Hauswirth, K. Holland, T. Jörg, F. Niedermayer and U. Wenger
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P. Hasenfratz: Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
S. Hauswirth: Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
K. Holland: Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
T. Jörg: Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
F. Niedermayer: Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
U. Wenger: Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 05, 691-707

Abstract: We discuss the steps to construct Dirac operators, which have arbitrary fermion offsets, gauge paths, a general structure in Dirac space and satisfy the basic symmetries (gauge symmetry, hermiticity condition, charge conjugation, hypercubic rotations and reflections) on the lattice. We give an extensive set of examples and offer help to add further structures.

Keywords: Dirac Operator; Chiral Symmetry; Practical Construction (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001882

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