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Absence of Species Doubling in Finite-Element Quantum Electrodynamics
Kimball A. Milton
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 latt…
Casimir effect for a -dimensional sphere
Carl M. Bender, Kimball A. Milton
The Casimir force on a -dimensional sphere due to the confinement of a massless scalar field is computed as a function of , where is a continuous variable that ranges fro…
Finite-Element Time Evolution Operator for the Anharmonic Oscillator
Kimball A. Milton
The finite-element approach to lattice field theory is both highly accurate (relative errors , where is the number of lattice points) and exactly unitary (in the sen…
Finite-element quantum electrodynamics. II. Lattice propagators, current commutators, and axial-vector anomalies
Dean Miller, Kimball A. Milton, Stephan Siegemund-Broka
We apply the finite-element lattice equations of motion for quantum electrodynamics given in the first paper in this series to examine anomalies in the current operators. By taking…