Phenomenology on the lattice: Composite operators in lattice gauge theory

We study composite operators in lattice gauge theory that reduce to operators of the form {ψ}{}{Γ}D{→}D{→}...{ψ} in the continuum limit; such operators arise in perturbative analyses of quantum chromodynamics. Using our results and the data of a numerical simulation one could normalize exclusive processes and predict moments of deep-inelastic scattering structure functions. To initiate the program we construct and renormalize lattice operators to the one-loop level. We are encouraged that the hadronic matrix elements of the simpler operators are within reach of numerical simulations.