π-π scattering, QED and finite-volume quantization
Abstract
Using the Coulomb gauge formulation of QED we present a lattice QCD procedure to calculate the π+π+ scattering phase shift including the effects of the Coulomb potential which appears in this formulation. The approach described here incorporates the effects of relativity and avoids finite-volume corrections that vanish as a power of the volume in which the lattice calculation is performed. This is the first step in developing a complete lattice QCD calculation of the electromagnetic and isospin-breaking light-quark mass contributions to ', the parameter describing direct CP violating effects in KLππ decay.
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