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 (${\hat{I}}_{2n}^3$) 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 ${\hat{I}}_{2n}^3(N-1)$ in this approximation behaves as $\frac{N_c\hat{I}{\pm }_S}{\ddot{I}€(N-1)}{n}^2(1+\frac{\hat{I}´}{3}(n^2-1))$ where $\hat{I}´\approx 10^{-2}$. 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.

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