Anomalous Dimensions of High Twist Operators in QCD at $N\to 1$ and large $Q^2

Abstract

The anomalous dimensions of high-twist operators in deeply inelastic scattering (${\gamma }_{2n}$) are calculated in the limit when the moment variable $N\to 1$ (or $x_B\to 0$) and at large $Q^2$ (the double logarithmic approximation) in perturbative QCD. We find that the value of ${\gamma }_{2n}(N-1)$ in this approximation behaves as $\frac{N_c{\alpha }_S}{\pi (N-1)}{n}^2(1+\frac{\delta }{3}(n^2-1))$ where $\delta \approx 10^{-2}$. 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.

Comments: jytex (see macros directory), 18 pages , 9 figures, uuencoded at back of file, FERMILAB-PUB-93/243-T