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The Construction Of Generalized Dirac Operators On The Lattice

Author

Listed:
  • 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)

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.

Suggested Citation

  • P. Hasenfratz & S. Hauswirth & K. Holland & T. Jörg & F. Niedermayer & U. Wenger, 2001. "The Construction Of Generalized Dirac Operators On The Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(05), pages 691-707.
  • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:05:n:s0129183101001882
    DOI: 10.1142/S0129183101001882
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