Quantum corrections to the Weizsäcker-Williams gluon distribution function at smallx

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 ${\mathrm{\alpha }}_{\mathit{s}}$μ, where ${\mathrm{\mu }}^2$ 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 ${\mathrm{\alpha }}_{\mathit{s}}$. © 1995 The American Physical Society.