The classical field created in early stages of high energy nucleus-nucleus collisions

Abstract

We show that a special choice of light-cone gauge can greatly simplify the calculation of the classical color field created in the initial stages of nucleus-nucleus collisions. Within this gauge, we can in particular construct explicitly the conserved color current and calculate exactly the gauge field immediately after the collision. This field is used as a boundary condition in an iterative solution of the Yang-Mills equations in the forward light-cone. In leading order, which corresponds to a linearization of the Yang-Mills equation in the forward light-cone, we obtain a simple formula for the spectrum of gluons produced in nucleus-nucleus collisions. This formula reproduces exactly the known formula for proton-nucleus collisions, where $k_t-$factorization is recovered, while the latter property apparently breaks down in the case of nucleus-nucleus collisions.

arXiv comment26 pages, 3 figures

References in corpus (33)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• Gluon Production from Non-Abelian Weizsäcker-Williams Fields in Nucleus-Nucleus Collisions
• Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation
• Unitarization of Gluon Distribution in the Doubly Logarithmic Regime at High Density
• The initial energy density of gluons produced in very high energy nuclear collisions
• Production of gluons in the classical field model for heavy ion collisions
• Inclusive Gluon Production in DIS at High Parton Density
• Coherent gluon production in very high energy heavy ion collisions
• The initial gluon multiplicity in heavy ion collisions
• High energy pA collisions in the color glass condensate approach I. Gluon production and the Cronin effect
• Vector potential versus colour charge density in low-x evolution
• How Protons Shatter Colored Glass
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• Classical Gluodynamics of High Energy Nuclear Collisions: an Erratum and an Update
• Eikonal Evolution and Gluon Radiation
• Energy density of the Glasma
• The Gluon Propagator in non-Abelian Weizsäcker-Williams fields
• Classical Initial Conditions for Ultrarelativistic Heavy Ion Collisions
• Scattering of shock waves in QCD
• Gluon propagation inside a high-energy nucleus
• Randomness in infinitesimal extent in the McLerran-Venugopalan model
• Lectures on multi-particle production in the Glasma

Cited by in corpus (25)

• Hydrodynamic Modeling of Heavy-Ion Collisions
• Jet Structure in Heavy Ion Collisions
• Hydrodynamic attractors, initial state energy and particle production in relativistic nuclear collisions
• The initial spectrum of fluctuations in the little bang
• Gluon spectrum in the glasma from JIMWLK evolution
• High Gluon Densities in Heavy Ions Collisions
• On the gluon spectrum in the glasma
• Fluctuations of the initial color fields in high energy heavy ion collisions
• Small x physics and RHIC data
• Linearly polarized gluons and axial charge fluctuations in the Glasma
• Three-particle correlation from glasma flux tubes
• Energy dependence of the saturation scale and the charged multiplicity in pp and AA collisions
• Structure of longitudinal chromomagnetic fields in high energy collisions
• Classical Gluon Production Amplitude for Nucleus-Nucleus Collisions: First Saturation Correction in the Projectile
• Two-Gluon Production and Longitudinal Correlations in the Color Glass Condensate
• Memory effect in Yang-Mills theory
• Color-neutral heavy particle production in nucleus-nucleus collisions in the quasi-classical approximation
• First Saturation Correction in High Energy Proton-Nucleus Collisions: II. Single Inclusive Semi-Hard Gluon Production
• Structure of chromomagnetic fields in the glasma
• Isotropization of the Quark Gluon Plasma
• Initial conditions of heavy ion collisions and small x
• Gauge ambiguity of the quark spectrum in the Color Glass Condensate
• RHIC data and small x physics
• Classical initial conditions in high energy nucleus-nucleus collisions
• The glasma initial state and JIMWLK factorization