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 - May 2008

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    Keywords

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

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