Plasmon mass scale in classical nonequilibrium gauge theory

Abstract

Classical lattice Yang-Mills calculations provide a good way to understand different nonequilibrium phenomena in nonperturbatively overoccupied systems. Above the Debye scale the classical theory can be matched smoothly to kinetic theory. The aim of this work is to study the limits of this quasiparticle picture by determining the plasmon mass in classical real time Yang-Mills theory on a lattice in 3 spatial dimensions. We compare three methods to determine the plasmon mass: a hard thermal loop expression in terms of the particle distribution, an effective dispersion relation constructed from fields and their time derivatives, and by measuring oscillations between electric and magnetic field modes after artificially introducing a homogeneous color electric field. We find that a version of the dispersion relation that uses electric fields and their time derivatives agrees with the other methods within 50%.

arXiv comment9 pages, 10 figures, to appear in Phys. Rev. D

References in corpus (30)

• New Forms of QCD Matter Discovered at RHIC
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Collective modes of an Anisotropic Quark-Gluon Plasma II
• Collective non-Abelian instabilities in a melting Color Glass Condensate
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• The Unstable Glasma
• The initial gluon multiplicity in heavy ion collisions
• Universal attractor in a highly occupied non-Abelian plasma
• Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
• Hard-Loop Effective Action for Anisotropic Plasmas
• Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Bottom-up isotropization in classical-statistical lattice gauge theory
• Color filamentation in ultrarelativistic heavy-ion collisions
• Simulating plasma instabilities in SU(3) gauge theory
• QCD Plasma Instabilities and Isotropization
• Non-abelian plasma instabilities for strong anisotropy
• The Abelianization of QCD Plasma Instabilities
• UV Cascade in Classical Yang-Mills Theory
• Off-equilibrium sphaleron transitions in the Glasma
• Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
• Gluon spectrum in the glasma from JIMWLK evolution
• Non-Abelian plasma instabilities: SU(3) vs. SU(2)
• Role of quantum fluctuations in a system with strong fields: Spectral properties and Thermalization
• Motion of Chern-Simons Number at High Temperature Under a Chemical Potential
• Chiral magnetic effect and anomalous transport from real-time lattice simulations
• Over-populated gauge fields on the lattice
• The non-linear Glasma
• Isotropization by QCD Plasma Instabilities

Cited by in corpus (11)

• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method
• Spectral function for overoccupied gluodynamics from real-time lattice simulations
• Heavy quark diffusion in an overoccupied gluon plasma
• Large-N kinetic theory for highly occupied systems
• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
• Gauge-invariant condensation in the nonequilibrium quark-gluon plasma
• Implicit schemes for real-time lattice gauge theory
• Broad excitations in a 2+1D overoccupied gluon plasma
• Plasmon mass scale in two dimensional classical nonequilibrium gauge theory
• Heavy quark momentum diffusion coefficient in 3D gluon plasma