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Perturbation Theory for Fat-link Fermion Actions

We discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed calculation, it is easy to determine to good accuracy the scale of the logarithms that appear in cases where an anomalous dimension is present. We describe several 1-loop examples for fat-link Wilson and clover fermions. including the additive mass shift, the relation between the lattice and MSbar quark masses, and the axial current renormalization factor ($Z_A$) for light-light and static-light currents.

preprint1999arXivOpen access
C. BernardT. DeGrand
hep-lat
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C. BernardT. DeGrand

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