PERTURBATIVE RENORMALIZATION OF LATTICE BILINEAR QUARK OPERATORS

Our aim is to compute the lower moments of the unpolarized and polariz ed deep-inelastic structure functions of the nucleon on the lattice. T he theoretical basis of the calculation is the operator product expans ion. To construct operators with the appropriate continuum behavior ou t of the bare lattice operators, one must absorb the effects of moment um scales far greater than any physical scale into a renormalization o f the operators. In this work we compute the renormalization constants of all bilinear quark operators of leading twist and spin up to four. The calculation is done for Wilson fermions and in the quenched appro ximation where dynamical quark loops are neglected.