出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Using non-perturbative techniques we have found the renormalisation factor, Z, in the RI-MOM
scheme for quark bilinear operators in quenched QCD. We worked with overlap fermions using
the Lüscher-Weisz gauge action. Our calculation was performed at b = 8:45 at a lattice spacing
of 1=a= 2:1GeV using a value of r = 1:4. Our results show good agreement between the vector
and the axial vector in the zero mass limit. This shows that overlap fermions have good chiral
properties. To attempt to improve the discretisation errors in our results we subtracted the O(a2)
terms in one-loop lattice perturbation theory from the Monte Carlo Green functions. In particular
we paid attention to the operators for the observable hxi. We found a value for the renormalisation
constants ZMS
v2b and ZMS
v2a just less than 1.9 at m = 1=a = 2:1GeV.
