Lattice formulation of chiral gauge theories

Details Lattice formulation of chiral gauge theories Lattice formulation of chiral gauge theories

2004-02-11

arxiv.org/abs/hep-lat/0402011v3

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages; v3: Section 1 reformulated, Sections 3.5 and 8 added

Scientific paper

We present a general formulation of chiral gauge theories, which admits Dirac operators with more general spectra, reveals considerably more possibilities for the structure of the chiral projections, and nevertheless allows appropriate realizations. In our analyses we use two forms of the correlation functions which both also apply in the presence of zero modes and for any value of the index. To account properly for the conditions on the bases the concept of equivalence classes of pairs of them is introduced. The behaviors under gauge transformations and under CP transformations are unambiguously derived.

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