HOW TO COMPUTE ONE-LOOP FEYNMAN DIAGRAMS IN LATTICE QCD WITH WILSON FERMIONS

Citation
G. Burgio et al., HOW TO COMPUTE ONE-LOOP FEYNMAN DIAGRAMS IN LATTICE QCD WITH WILSON FERMIONS, Nuclear physics. B, 1997, pp. 794-796
Citations number
5
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Year of publication
1997
Supplement
53
Pages
794 - 796
Database
ISI
SICI code
0550-3213(1997):<794:HTCOFD>2.0.ZU;2-X
Abstract
We describe an algebraic algorithm which allows to express every one-l oop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbit rary high precision. Although the presentation is restricted to four d imensions the technique can be generalized to every space dimension. W e also give a method to express the lattice free propagator for Wilson fermions in coordinate space as a linear function of its values in ei ght points near the origin. This is an essential step in order to appl y the recent methods of Luscher and Weisz to higher-loop integrals wit h fermions.