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

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.

8 pages, 10 figures, RevTEX4, V2: typo corrections, V3: small clarifications, to be published in EPJ C

References in corpus (8)

• Some Features of the Glasma
• Energy density of the Glasma
• Initial Singularity of the Little Bang
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions
• Chemical thermalization in relativistic heavy ion collisions
• Particle production in field theories coupled to strong external sources. II: Generating functions
• Quark-antiquark production from classical fields in heavy ion collisions: 1+1 dimensions
• Rapidity distribution of gluons in the classical field model for heavy ion collisions

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