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arXiv · hep-ph/9412320

Absence of Species Doubling in Finite-Element Quantum Electrodynamics

Kimball A. Milton
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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.

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Kimball A. Milton. 1994-12-19. Absence of Species Doubling in Finite-Element Quantum Electrodynamics. https://doi.org/10.1007/bf01872782

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