Fluctuations of topological charge and chiral density in the early stage of high energy nuclear collisions

Abstract

We study systematically the topological charge density and the chiral density correlations in the early stage of high energy nuclear collisions: the intial condition is given by the McLerran-Venugopalan model and the evolution of the gluon fields is studied via the Classical Yang-Mills equations up to proper time $\tau \approx 1$ fm/c for an $SU(2)$ evolving Glasma. Topological charge is related to the gauge invariant $\mathbf{E}\cdot \mathbf{B}$ where $\mathbf{E}$ and $\mathbf{B}$ denote the color-electric and color-magnetic fields, while the chiral density is produced via the chiral anomaly of Quantum Chromodynamics. We study how the correlation lengths are related to the collision energy, and how the correlated domains grow up with proper time in the transverse plane for a boost invariant longitudinal expansion. We estimate the correlation lengths of both quantities, that after a short transient results of the order of the typical energy scale of the model, namely the inverse of the saturation scale. We estimate the proper time for the formation of a steady state in which the production of the chiral density in the transverse plane per unit rapidity slows down, as well as the amount of chiral density that would be present at the switch time between the Classical Yang-Mills evolution and the relativistic transport or hydro for the quark-gluon plasma phase.

arXiv commentStatistics has been improved. A few comments on the Gauss Law and the gauge invariance of the results have been added. This version corresponds to the one accepted for publication on Phys. Rev. D

References in corpus (53)

• The Chiral Magnetic Effect
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Color Glass Condensate
• Green's Functions in the Color Field of a Large Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics
• Some Features of the Glasma
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Gluon Production from Non-Abelian Weizsäcker-Williams Fields in Nucleus-Nucleus Collisions
• Possibility of spontaneous parity violation in hot QCD
• Gluon Production at High Transverse Momentum in the McLerran-Venugopalan Model of Nuclear Structure Functions
• Parton Saturation at Small x and in Large Nuclei
• Collective non-Abelian instabilities in a melting Color Glass Condensate
• The Unstable Glasma
• Pressure isotropization in high energy heavy ion collisions
• The evolving Glasma
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• Color Glass Condensate and Glasma
• Anomalous chirality fluctuations in the initial stage of heavy ion collisions and parity odd bubbles
• Initial Singularity of the Little Bang
• Pionic Measures of Parity and CP Violation in High Energy Nuclear Collisions
• Role of quantum fluctuations in a system with strong fields: Onset of hydrodynamical flow
• Multi-particle Production and Thermalization in High-Energy QCD
• Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
• Chiral pumping effect induced by rotating electric fields
• Extreme matter in electromagnetic fields and rotation
• Thermalization, Isotropization and Elliptic Flow from Nonequilibrium Initial Conditions with a Saturation Scale
• Elliptic Flow from Non-equilibrium Initial Condition with a Saturation Scale
• The Chiral Magnetic Effect and an experimental bound on the late time magnetic field strength
• Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
• Linearly polarized gluons and axial charge fluctuations in the Glasma
• Charge Fluctuations from the Chiral Magnetic Effect in Nuclear Collisions
• A Weibel Instability in the Melting Color Glass Condensate
• Initial energy density and gluon distribution from the Glasma in heavy-ion collisions
• Dielectric correction to the Chiral Magnetic Effect
• Constraining unintegrated gluon distributions from inclusive photon production in proton-proton collisions at the LHC
• Modelling Early Stages of Relativistic Heavy Ion Collisions: Coupling Relativistic Transport Theory to Decaying Color-electric Flux Tubes
• Structure of longitudinal chromomagnetic fields in high energy collisions
• Equilibration of anisotropic quark-gluon plasma produced by decays of color flux tubes
• Turbulent pattern formation and diffusion in the early-time dynamics in the relativistic heavy-ion collision
• Instantons in the Saturation Environment
• Initial state fluctuations and higher harmonic flow in heavy-ion collisions
• Quarks Production in the Quark-Gluon Plasma Created in Relativistic Heavy Ion Collisions
• Evolution of pressures and correlations in the Glasma produced in high energy nuclear collisions
• Prompt Multi-Gluon Production in High Energy Collisions from Singular Yang-Mills Solutions
• Magnetic screening in high-energy heavy-ion collisions
• Nonequilibrium axial charge production in expanding glasma flux tubes
• Chiral magnetic effect search in p(d)+Au, Au+Au collisions at RHIC

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