Polarized and unpolarized nucleon structure functions from lattice QCD

Abstract

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions ${F}_{1}$, ${F}_{2}$, ${g}_{1}$, and ${g}_{2}$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion. We consider the moments of the leading twist operators up to spin four. Using Wilson fermions the calculation is done for three values of $\ensuremath{\kappa}$, and we perform the extrapolation to the chiral limit. The renormalization constants, which lead us from lattice to continuum operators, are calculated in perturbation theory to one loop order.