Expanding color flux tubes and instabilities

Abstract

We present an analytic study of the physics of the glasma which is a strong classical gluon field created at early stage of high-energy heavy-ion collisions. Our analysis is based on the picture that the glasma just after the collision is made of color electric and magnetic flux tubes extending in the longitudinal direction with their diameters of the order of 1/Q_s (Q_s is the saturation scale of the colliding nuclei). We find that both the electric and magnetic flux tubes expand outwards and the field strength inside the flux tube decays rapidly in time. Next we investigate whether there exist instabilities against small rapidity-dependent perturbations for a fixed color configuration. We find that the magnetic background field exhibits an instability induced by the fluctuations in the lowest Landau level, and it grows in the time scale of 1/Q_s. For the electric background field we find no apparent instability while the possible relation to the Schwinger mechanism for particle pair creations is suggested.

29 pages, 5 figures; minor revision, references added

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Cited by in corpus (59)

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• Role of quantum fluctuations in a system with strong fields: Spectral properties and Thermalization
• Instability-induced fermion production in quantum field theory
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Instability induced pressure isotropization in a longitudinally expanding system
• The non-linear Glasma
• Initial energy density and gluon distribution from the Glasma in heavy-ion collisions
• Instabilities in non-expanding glasma
• Color Glass Condensate and Glasma
• The quark-gluon medium
• Out of equilibrium dynamics of coherent non-abelian gauge fields
• Simulating collisions of thick nuclei in the color glass condensate framework
• QCD effective potential with strong U(1)_{em} magnetic fields
• Evolution to the Quark-Gluon Plasma
• Turbulent pattern formation and diffusion in the early-time dynamics in the relativistic heavy-ion collision
• Schwinger mechanism enhanced by the Nielsen--Olesen instability
• Initial State Quantum Fluctuations in the Little Bang
• Initial state and thermalization in the Color Glass Condensate framework
• Effective dynamics of a nonabelian plasma out of equilibrium
• Entropy production in classical Yang-Mills theory from Glasma initial conditions
• From Glasma to Quark Gluon Plasma in heavy ion collisions
• Entropy production in 2D $\lambda {\varphi }^4$ theory in the Kadanoff-Baym approach
• Entropy production from chaoticity in Yang-Mills field theory with use of the Husimi function
• High Baryon Densities in Heavy Ion Collisions at Energies Attainable at the BNL Relativistic Heavy Ion Collider and the CERN Large Hadron Collider
• Time evolution of a toy semiholographic glasma
• Pair Creation in Electric Flux Tube and Chiral Anomaly
• Pair Creation of Massless Fermions in Electric Flux Tube
• Parton energy loss in glasma
• Pressure Anisotropy in Heavy Ion Collisions from Color Glass Condensate
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Strongly Interacting Matter at High Energy Density
• Energy-momentum tensor of the dilute (3+1)D Glasma
• A Brief Introduction to the Color Glass Condensate and the Glasma
• Parametric instability of classical Yang-Mills fields in a color magnetic background
• Pair creation in boost-invariantly expanding electric fields and two-particle correlations
• Evolving Glasma and Kolmogorov Spectrum
• Anomalous Transport Processes in Turbulent non-Abelian Plasmas
• Shear viscosity of classical Yang-Mills field
• Stability of Classical Chromodynamic Fields
• Stability analysis of non-Abelian electric fields
• Quark and Gluon Production from a Boost-invariantly Expanding Color Electric Field
• Parton energy loss at strong coupling and the universal bound
• Parametric Instability of Classical Yang-Mills Fields in an Expanding Geometry
• Production of Semi Quark Gluon Monopole Plasma by Glasma Decay
• An analytic study towards instabilities of the glasma
• Revisiting the Gluon Spectrum in the Boost-Invariant Glasma from a Semi-Analytic Approach
• Concerning gauge field fluctuations around classical configurations
• Schwinger Mechanism with Energy Dissipation in Glasma
• Quark Pair Production in Expanding Glasma
• Classical Yang Mills equations with sources: consequences of specific scalar potentials
• Anomalous Gluon Production and Condensation in Glasma
• Energy spectrum of simply constant chromoelectric flux tubes
• Gluon Saturation and the Formation Stage of Heavy Ion Collisions
• Multiparticle Dynamics in the LHC Era