The Parton Distribution Functions in the Limit $x_{Bj}\to 1$

Abstract

We review both the counting rule and the influence of the evolution in $Q^2$ for the large $x_{Bj}$ behaviour of the valance quark distribution functions. Based on a factorization procedure we present a more general perturbative treatment to compute this behaviour. A complete analysis is performed in the scalar ${\varphi }_{[6]}^3$-theory for the parton distribution function of the ``meson'', which shows that logarithmical corrections arise from the distribution amplitude and that the reference momentum square $Q_0^2$ is fixed by $x_{Bj}$.

Presented at the Leipzig Workshop on `Quantum Field Theoretical Aspects of High Energy Physics', Bad Frankenhausen, Germany, Sept. 20-24, 1993, 9 pages LaTeX (2 LaTeX picture included), SLAC-PUB-6496