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Lattice perturbation theory for gluonic and fermionic actions

I. T. Drummond, A. Hart, R. R. Horgan, L. C. Storoni

hep-latarXiv:hep-lat/0209130

Abstract

We calculate the two loop Landau mean links and the one loop renormalisation of the anisotropy for Wilson and improved SU(3) gauge actions, using twisted boundary conditions as a gauge invariant infrared regulator. We show these accurately describe simulated results, and outline a method for generating Feynman rules for general lattice field theories, in a form suitable for efficient numerical calculation of perturbative loop diagrams.

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