Absence of Species Doubling in Finite-Element Quantum Electrodynamics

Details Absence of Species Doubling in Finite-Element Quantum Electrodynamics Absence of Species Doubling in Finite-Element Quantum Electrodynamics

1994-12-19

arxiv.org/abs/hep-ph/9412320v1

Lett.Math.Phys. 34 (1995) 285-294

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, revtex, 1 uuencoded figure

Scientific paper

10.1007/BF01872782

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.

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