A new scheme for the Klein-Gordon and Dirac fields on the lattice with axial anomaly

Details A new scheme for the Klein-Gordon and Dirac fields on the lattice with axial anomaly A new scheme for the Klein-Gordon and Dirac fields on the lattice with axial anomaly

2003-12-24

arxiv.org/abs/hep-lat/0312039v1

J.Group Theor.Phys. 1 (1993) 105-121

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 17 pages (late submission)

Scientific paper

Using the method of finite differences a scheme is proposed to solve exactly the Klein-Gordon and Dirac free field equations, in a (1+1)-dimensional lattice. The hamiltonian of the Dirac field is translational invariant, hermitian, avoids fermion doubling, and, for the massless case, preserves global chiral symmetry. Coupling the fermion field to the electromagnetic vector potential we construct a gauge invariant vector current leading to the correct axial anomaly.

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