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

2007/11/30 by T. Lappi · 6 citations
Mathematics · Physics and Astronomy · #Color-glass condensate #Computation #Deep inelastic scattering #Discretization #Gluon #Hadron #High-Energy Particle Collisions Research #Inelastic collision #Inelastic scattering #Mathematical analysis #Mathematics #Multiplicity (mathematics) #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering #hep-ph #nucl-th

paper · pdf · doi:10.1140/epjc/s10052-008-0588-4

published as Eur.Phys.J.C55:285-292,2008 · 8 pages, 10 figures, RevTEX4, V2: typo corrections, V3: small clarifications, to be published in EPJ C

arxiv created 2008/03/21 · openalex publication_date 2008/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 g² mu and the saturation scale Qs. Our result for this relation is Qs = 0.6 g² mu, which results in the classical Yang-Mills value for the "gluon liberation coefficient" c = 1.1.

Citations

• Evolution at small x_bj: The Color Glass Condensate
• Non-Abelian Weizsäcker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• How protons shatter colored glass
• Saturation and BFKL dynamics in the HERA data at small-x
• Rapidity distribution of gluons in the classical field model for heavy ion collisions
• Impact parameter dipole saturation model
• Yang-Mills radiation in ultrarelativistic nuclear collisions
• Particle production in field theories coupled to strong external sources, II: Generating functions
• Energy density of the glasma
• Collective Non-Abelian Instabilities in a Melting Color Glass Condensate
• Production of gluons in the classical field model for heavy ion collisions
• Saturation effects in deep inelastic scattering at lowQ2and its implications on diffraction
• Exclusive diffractive processes at HERA within the dipole picture
• Probing colored glass via photoproduction
• Cronin effect and high-pTsuppression inpAcollisions

Cited by

• Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence
• 3-D structure of the Glasma initial state: Breaking boost-invariance by collisions of extended shock waves in classical Yang-Mills theory
• Glasma flux tubes and the near side ridge phenomenon at RHIC
• From glasma to quark–gluon plasma in heavy-ion collisions
• On systematic effects in the numerical solutions of the JIMWLK equation
• Diffusion of heavy quarks in the early stage of high-energy nuclear collisions at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider