Weyl fermions on the lattice and the non-abelian gauge anomaly

Details Weyl fermions on the lattice and the non-abelian gauge anomaly Weyl fermions on the lattice and the non-abelian gauge anomaly

1999-04-26

arxiv.org/abs/hep-lat/9904009v2

Nucl.Phys.B568:162-179,2000

Physics

High Energy Physics

High Energy Physics - Lattice

plain tex source, 24 pages, needs amssym.def, references added

Scientific paper

10.1016/S0550-3213(99)00731-2

Starting from the Ginsparg-Wilson relation, a general construction of chiral gauge theories on the lattice is described. Local and global anomalies are easily discussed in this framework and a closed expression for the effective action can be obtained. Particular attention is paid to the non-abelian gauge anomaly, which is shown to be related to a local topological field on the lattice representing the Chern character in 4+2 dimensions.

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