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

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

2007-06-29

arxiv.org/abs/0706.4385v2

Int.J.Geom.Meth.Mod.Phys.05:345-362,2008

Physics

High Energy Physics

High Energy Physics - Lattice

v2: 17 pages, Latex. 5 images eps. Added references, reformatted and clarification of some points

Scientific paper

10.1142/S0219887808002825

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.

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