Eikonal approximation for the bilocal vertex function and νW2 in a fermion-neutral-vector-gluon model

The eikonal approximation is used to investigate the forward one-fermion matrix element of the bilocal operator that appears in the most singular term of the canonical light-cone current commutators for the fermion---neutral-vector-gluon model. A relationship is exhibited between this matrix element of the bilocal operator and the leading behavior of νW₂. This relation allows calculations of contributions to the matrix element of the bilocal operator to be applied to the corresponding contribution to νW₂. A simple set of graphs contributing to the matrix element of the bilocal operator is calculated in the eikonal approximation. This gives a contribution to νW₂ in agreement with explicit calculations in perturbation theory for the corresponding set of graphs of νW₂.