The Wilson renormalization group for low x physics: towards the high

 density regime

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Abstract

We continue the study of the effective action for low \(x\) physics based on a Wilson renormalization group approach. We express the full nonlinear renormalization group equation in terms of the average value and the average fluctuation of extra color charge density generated by integrating out gluons with intermediate values of \(x\). This form clearly exhibits the nature of the phenomena driving the evolution and should serve as the basis of the analysis of saturation effects at high gluon density at small \(x\).

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Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum

Larry McLerran, Raju Venugopalan (1993)

We show that the gluon distribution function for very large nuclei may be computed for small transverse momentum as correlation functions of an ultraviolet finite two dimensional Euclidean field theory. This computation is valid to all orders in the density of partons per unit area, but to lowest order in \(\alpha_s\). The gluon distribution function is proportional to \(1/x\), and the effect of the finite density of partons is to modify the dependence on transverse momentum for small transverse momentum.