How to compute oneloop Feynman diagrams in lattice QCD with Wilson fermions
Abstract
We describe an algebraic algorithm which allows to express every oneloop lattice integral with gluon or Wilsonfermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although the presentation is restricted to four dimensions the technique can be generalized to every space dimension. We also give a method to express the lattice free propagator for Wilson fermions in coordinate space as a linear function of its values in eight points near the origin. This is an essential step in order to apply the recent methods of Lüscher and Weisz to higherloop integrals with fermions.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 February 1997
 DOI:
 10.1016/S09205632(96)007840
 arXiv:
 arXiv:heplat/9607012
 Bibcode:
 1997NuPhS..53..794B
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 Talk presented at LATTICE96(theoretical developments) Postscript file avalaible at http://www1.le.infn.it:8080/~caraccio/TCMS.html