Anomalous dimensions of high-twist operators in QCD at N→1 and large Q2

The anomalous dimensions of high-twist operators in deeply inelastic scattering (γ2n) are calculated in the limit when the moment variable N→1 (or xB→0) and at large Q2 (the double logarithmic approximation) in perturbative QCD. We find that the value of γ2nx(N-1) in this approximation behaves as [NcαS/π(N-1)]n2 [1+(1)/(3)δ(n2-1)] where δ∼10-2. This implies that the contributions of the high-twist operators give rise to an earlier onset of shadowing than was estimated before. The derivation makes use of a Pomeron exchange approximation, with the Pomerons interacting attractively. We find that they behave as a system of fermions. ((orig.))