EXACT SUM-RULE FOR TRANSVERSELY POLARIZED DIS

We have shown how, working in a field-theoretic framework, one can der ive expressions for the even moments of the valence parts of g(1,2)(x) . These expressions cannot be written as matrix elements of local oper ators and do not coincide with the analytic continuation to n = even i nteger of the OPE results. Just as for the OPE one can in some cases a rgue that the hadronic matrix elements should be small, leading to app roximate sum rules for the moments of the valence parts of g(1,2)(x). But, most importantly, for the case n=2 we have proved rigorously that the hadronic matrix element vanishes, yielding an exact sum rule. We have argued that the convergence properties of this sum rule are good and are a further test of QCD.