A new scheme for the Klein-Gordon and Dirac fields on the lattice with axial anomaly
High Energy Physics - Lattice
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/0312039,
title = {A new scheme for the Klein-Gordon and Dirac fields on the lattice with axial anomaly},
author = {M. Lorente},
journal= {arXiv preprint arXiv:hep-lat/0312039},
year = {2007}
}
Comments
LaTeX, 17 pages (late submission)