General chiral gauge theories

Abstract

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.

arXiv comment3 pages, Lattice2003(chiral)

References in corpus (8)

• A construction of lattice chiral gauge theories
• Chiral Determinant as an Overlap of Two Vacua
• Chiral Fermions on the Lattice
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Weyl fermions on the lattice and the non-abelian gauge anomaly
• Algebraic Generalization of the Ginsparg-Wilson Relation
• Ginsparg-Wilson operators and a no-go theorem
• More chiral operators on the lattice