Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-12-20
Physics
High Energy Physics
High Energy Physics - Theory
15, OKHEP-93-10
Scientific paper
10.1016/0920-5632(94)90510-X
Four-dimensional quantum electrodynamics has been formulated on a hypercubic Minkowski finite-element lattice. The equations of motion have been derived so as to preserve lattice gauge invariance and have been shown to be unitary. In addition, species doubling is avoided due to the nonlocality of the interactions. The model is used to investigate the lattice current algebra. Regularization of the current is shown to arise in a natural and nonarbitrary way. The commutators of the lattice current are calculated and shown to have the expected qualitative behavior. These lattice results are compared to various continuum calculations. (Five figures available from author.)
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