The chiral and flavour projection of Dirac-Kahler fermions in the geometric discretization

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Abstract

It is shown that an exact chiral symmetry can be described for Dirac-Kahler fermions using the two complexes of the geometric discretization. This principle is extended to describe exact flavour projection and it is shown that this necessitates the introduction of a new operator and two new structures of complex. To describe simultaneous chiral and flavour projection, eight complexes are needed in all and it is shown that projection leaves a single flavour of chiral field on each.
Original languageEnglish
Pages (from-to)1-18
JournalInternational Journal of Geometric Methods in Modern Physics
Volume5
Issue number3
DOIs
Publication statusPublished (in print/issue) - May 2008

Keywords

  • geometric
  • discretization
  • fermions
  • chiral
  • dirac-kahler
  • differential geometry
  • flavour projection

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