Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x

Details Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x

1995-08-14

arxiv.org/abs/hep-ph/9508302v1

Phys.Rev. D53 (1996) 458-475

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 40 pages, 4 figures available upon request to the authors as postscript files

Scientific paper

10.1103/PhysRevD.53.458

We compute the quantum corrections to the gluon distribution function in the background of a non--Abelian Weizs\"acker--Williams field. These corrections are valid to all orders in the effective coupling $\alpha_s \mu$, where $\mu^2$ 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 Weizs\"acker-Williams field do not contribute to these singular terms in the distribution function. Their effect is to cause the running of $\alpha_s$.

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