Twist Three Distribution e(x) : Sum Rules and Equation of Motion Relations

Abstract

We investigate the twist three distribution function $e(x)$ in light-front Hamiltonian perturbation theory. In light-front gauge, by eliminating the constrained field, we find a mass term, an intrinsic transverse momentum dependent term and a 'genuine twist three' quark-gluon interaction term in the operator. The equation of motion relation, moment relation and the sum rules are satisfied for a quark at one loop. We compare the results with other model calculations.

Comments: genuine twist three part added, conclusions on sum rules and equation of motion unchanged