DOI 10.1007/s100529900097
Non-perturbative renormalization of lattice four-fermion operators without power subtractions
A. Donini1 - V. Giménez2 - G. Martinelli1 - M. Talevi3 - A. Vladikas4
1 Dipartimento di Fisica, Università di Roma "La Sapienza'' and
INFN, Sezione di Roma,
P.le A. Moro 2, I-00185 Roma, Italy
2 Dep. de Fisica Teorica and IFIC, Universitat de Valencia,
Dr. Moliner 50, E-46100, Burjassot, Valencia, Spain
3 Department of Physics & Astronomy, University of Edinburgh,
The King's Buildings, Edinburgh EH9 3JZ, UK
4 INFN, Sezione di Roma II, and
Dip. di Fisica, Università di Roma "Tor Vergata'',
Via della Ricerca Scientifica 1,
I-00133 Roma, Italy
Received: 26 February 1999 / Published online: 15 July 1999
Abstract
A general nonperturbative analysis of the renormalization properties of
four-fermion operators in the framework of lattice
regularization with Wilson fermions is presented. We discuss the
nonperturbative determination of the operator renormalization constants
in the lattice regularization independent (RI or MOM) scheme. We also
discuss the determination of the finite lattice subtraction coefficients
from Ward identities. We prove that, at large external virtualities,
the determination of the lattice mixing
coefficients, obtained using the RI renormalization scheme, is equivalent to
that based on Ward identities, in the continuum and chiral limits.
As a feasibility study of our method, we compute the mixing
matrix at several renormalization scales, for three values of the lattice
coupling 
, using the Wilson and tree-level improved SW-Clover actions.
Copyright Springer-Verlag
