Quantum structure of the non-Abelian Weizsacker-Williams field for a very large nucleus

Details Quantum structure of the non-Abelian Weizsacker-Williams field for a very large nucleus Quantum structure of the non-Abelian Weizsacker-Williams field for a very large nucleus

1997-01-06

arxiv.org/abs/hep-ph/9701229v1

Phys.Rev. D55 (1997) 5445-5455

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, REVTeX, 9 figures

Scientific paper

10.1103/PhysRevD.55.5445

We consider the McLerran-Venugopalan model for calculation of the small-$x$ part of the gluon distribution function for a very large ultrarelativistic nucleus at weak coupling. We construct the Feynman diagrams which correspond to the classical Weizs\"{a}cker-Williams field found previously [Yu. V. Kovchegov, Phys. Rev. D 54, 5463 (1996)] as a solution of the classical equations of motion for the gluon field in the light-cone gauge. Analyzing these diagrams we obtain a limit for the McLerran-Venugopalan model. We show that as long as this limit is not violated a classical field can be used for calculation of scattering amplitudes.

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