Orbital and field angular momentum in the nucleon

The nucleon spin problem raises experimental and theoretical questions rega rding the contribution of the orbital angular momentum of the quarks to the total spin of the nucleon. in this article we examine the commutation rela tionships of various operators that contribute to the total angular momentu m of the nucleon. We find that the sum of the orbital plus gluon field angu lar momenta should satisfy the angular momentum commutators, at least up to the one-loop level. This, requirement on the sum of these operators impose a non-trivial restriction on the form of the color electric and magnetic f ields. This is similar to the magnetic monoploe/electric charge system wher e it is only the sum of the orbital plus field angular momentum that satisf ies the correct commutation relationships.