Absence of Species Doubling in Finite-Element Quantum Electrodynamics
High Energy Physics - Phenomenology
2009-10-28 v1 High Energy Physics - Lattice
Abstract
In this letter it will be demonstrated explicitly that the finite-element formulation of quantum electrodynamics is free from fermion doubling. We do this by (1) examining the lattice fermion propagator and using it to compute the one-loop vacuum polarization on the lattice, and (2) by an explict computation of vector and axial-vector current anomalies for an arbitrary rectangular lattice in the Schwinger model. There it is shown that requiring that the vector current be conserved necessitates the use of a square lattice, in which case the axial-vector current is anomalous.
Keywords
Cite
@article{arxiv.hep-ph/9412320,
title = {Absence of Species Doubling in Finite-Element Quantum Electrodynamics},
author = {Kimball A. Milton},
journal= {arXiv preprint arXiv:hep-ph/9412320},
year = {2009}
}
Comments
13 pages, revtex, 1 uuencoded figure