One-Loop Diagrams in Lattice QCD with Wilson Fermions

Abstract

A comprehensive number of integrals emerging in one-loop computations in a gauge perturbation theory on the lattice with Wilson fermions at $r=1$ is computed using the Burgio--Caracciolo--Pelissetto algorithm and the FORM package. An explicit analytical form of the recursion relations needed for such computations is presented.

Comments: 62 pages, 1 figure; reference [5] changed, Abstract and Introduction changed, Conclusions added