Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-07-08
Nucl.Phys. B680 (2004) 51-84
Physics
High Energy Physics
High Energy Physics - Lattice
35 pages; v2: Section 9.3 replaced by new Section 10, version to appear in Nucl. Phys. B
Scientific paper
10.1016/j.nuclphysb.2003.12.014
We still extend the large class of Dirac operators decribing massless fermions on the lattice found recently, only requiring that such operators decompose into Weyl operators. After deriving general relations and constructions of operators, we study the basis representations of the chiral projections. We then investigate correlation functions of Weyl fermions for any value of the index, stressing the related conditions for basis transformations and their consequences, and getting the precise behaviors under gauge transformations and CP transformations. Various further developments include considerations of the explicit form of the effective action and of a representation of the general correlation functions in terms of alternating multilinear forms. For comparison we also consider gauge-field variations and their respective applications. Finally we compare with continuum perturbation theory.
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