The evolving Glasma

2011/06/30 by Kenji Fukushima, François Gelis, Francois Gelis · 8 citations
Mathematics · Physics and Astronomy · #Energy (signal processing) #High-Energy Particle Collisions Research #Instability #Mathematics #Mechanics #Particle physics #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Rapidity #Scaling #Statistical physics #Transverse plane #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2011.11.003

29 pages, 18 figures, discussions on the non-linear regime and the power-law spectrum added, version accepted for publication in Nucl.Phys.A

arxiv created 2011/11/13 · openalex publication_date 2011/11/17 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We extensively study the growing behavior of the energy and the pressure components depending on the space-time rapidity in the framework of the Glasma, which describes the early-time dynamics in the ultra-relativistic heavy-ion collisions. We simulate the Glasma solving the classical equations of motion in the SU(2) Yang-Mills theory and systematically investigate the dependence of the Glasma instability on the model parameters. We have checked that the transverse and longitudinal grid sizes in our simulation are large enough to handle cutoff effects under control. By comparing the numerical results from several initial conditions with different magnitudes of instability seed and also those with different wave-numbers for rapidity fluctuations, we clearly see that unstable modes dominantly grow up in the linear regime and we also confirm non-linear effects in the time evolution. To extract more detailed information on the evolving Glasma, we decompose the energy into the components in terms of rapidity wave-numbers. We observe an energy flow from low wave-number modes into higher wave-number modes due to non-linearity in the equations of motion. We find that the energy spectrum approaches an asymptotic scaling that is consistent with Kolmogorov's power-law form even in the expanding system of the Glasma.

Citations

• Nonthermal Fixed Points: Effective Weak Coupling for Strongly Correlated Systems Far from Equilibrium
• Fate of non-Abelian plasma instabilities in3+1dimensions
• On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
• Semiclassical approach for multiparticle production in scalar theories
• 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
• Chromodynamic Weibel instabilities in relativistic nuclear collisions
• Entropy Production in Gluodynamics in Temporal Axial Gauge in 2+1 Dimensions

Cited by

• Universal attractor in a highly occupied non-Abelian plasma
• Universal dynamics on the way to thermalization
• Nonlinear amplification of instabilities with longitudinal expansion
• Properties of the Boltzmann equation in the classical approximation
• 3-D structure of the Glasma initial state: Breaking boost-invariance by collisions of extended shock waves in classical Yang-Mills theory
• Topological charge fluctuations in the Glasma
• 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
• Nonrenormalizability of the classical statistical approximation

Related

• Proper time expansions and glasma dynamics
• Glasma properties in small proper time expansion
• Stability of Initial Glasma Fields
• The 3+1D initialization and evolution of the Glasma
• Perturbative high-energy evolution in the IP-Glasma initial state