Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering

TL;DR

This paper computes Wilson line correlators within the MV model to connect the saturation scale in deep inelastic scattering with initial conditions in heavy ion collisions, using numerical methods that reveal a specific relation between parameters.

Contribution

It provides a numerical calculation of Wilson line correlators in the MV model, establishing a precise relation between the saturation scale and color charge density parameter g^2 mu.

Findings

Relation Qs = 0.6 g^2 mu established

Numerical effects of longitudinal discretization analyzed

Gluon liberation coefficient c = 1.1 obtained

Abstract

In the color glass condensate framework the saturation scale measured in deep inelastic scattering of high energy hadrons and nuclei can be determined from the correlator of Wilson lines in the hadron wavefunction. These same Wilson lines give the initial condition of the classical field computation of the initial gluon multiplicity and energy density in a heavy ion collision. In this paper the Wilson line correlator in both adjoint and fundamental representations is computed using exactly the same numerical procedure that has been used to calculate gluon production in a heavy ion collision. In particular the discretization of the longitudinal coordinate has a large numerical effect on the relation between the color charge density parameter g^2 mu and the saturation scale Qs. Our result for this relation is Qs = 0.6 g^2 mu, which results in the classical Yang-Mills value for the "gluon liberation coefficient" c = 1.1.