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arXiv · hep-ph/9508302

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

A. Ayala·J. Jalilian--Marian·L. Mclerran·R. Venugopalan
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Abstract

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 $α_s μ$, where $μ^2$ 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 $α_s$.

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A. Ayala, J. Jalilian--Marian, L. Mclerran, R. Venugopalan. 1995-08-14. Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x. https://doi.org/10.1103/physrevd.53.458

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