Quantum corrections to the weizsäcker-williams gluon distribution function at small x

We compute the quantum corrections to the gluon distribution function in the background of a non-Abelian Weizsäcker-Williams field. These corrections are valid to all orders in the effective coupling αsµ, where 2 denotes the average valence quark color charge squared per unit area. We find ln(1/x) logarithmic corrections to the classical gluon distribution function. The one-loop corrections to the classical Weizsäcker-Williams field do not contribute to these singular terms in the distribution function. Their effect is to cause the running of αs. © 1995 The American Physical Society.