General chiral gauge theories

Details General chiral gauge theories General chiral gauge theories

2003-12-13

arxiv.org/abs/hep-lat/0312021v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Lattice2003(chiral)

Scientific paper

10.1016/S0920-5632(03)02621-5

Only requiring that Dirac operators decribing massless fermions on the lattice decompose into Weyl operators we arrive at a large class of them. After deriving general relations from spectral representations we study correlation functions of Weyl fermions for any value of the index, stressing the related conditions for basis transformations and getting the precise behaviors under gauge and CP transformations. Using the detailed structure of the chiral projections we also obtain a form of the correlation functions with a determinant in the general case.

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