Mean Field Dynamics in Non-Abelian Plasmas from Classical Transport Theory

Abstract

Based on classical transport theory, we present a general set of covariant equations describing the dynamics of mean fields and their statistical fluctuations in a non-Abelian plasma in or out-of-equilibrium. A procedure to obtain the collision integrals for the Boltzmann equation from the microscopic theory is described. As an application, we study a hot non-Abelian plasma close to equilibrium, where the fluctuations are integrated out explicitly. For soft fields, and at logarithmic accuracy, we obtain Bödeker's effective theory.

4 pages, revtex, no figures. Typo removed, a reference updated, version as to appear in Phys. Rev. Lett

Cited by in corpus (66)

• Photon and Gluon Emission in Relativistic Plasmas
• Advances in perturbative thermal field theory
• Semi-classical transport theory for non-Abelian plasmas
• Electroweak Bubble Nucleation, Nonperturbatively
• QCD Plasma Instabilities and Isotropization
• From hard thermal loops to Langevin dynamics
• Effective Transport Equations for non-Abelian Plasmas
• Jet broadening in unstable non-Abelian plasmas
• Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method
• High temperature color conductivity at next-to-leading log order
• First-order electroweak phase transitions: a nonperturbative update
• Hydrodynamic transport functions from quantum kinetic theory
• Constructing phase space distributions with internal symmetries
• Chiral Langevin theory for non-Abelian plasmas
• Ultrasoft Amplitudes in Hot QCD
• Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties
• Gluon condensates in a cold quark gluon plasma
• Minding one's P's and Q's : from the one loop effective action in quantum field theory to classical transport theory
• Kinetic Equation for Gluons in the Background Gauge of QCD
• Non-perturbative dynamics of hot non-Abelian gauge fields: beyond leading log approximation
• Fermion production in time-dependent fields
• Transverse momentum diffusion and jet energy loss in non-Abelian plasmas
• Whitening of the Quark-Gluon Plasma
• Quark Matter '99 --- Theoretical Summary: What Next?
• Phase Space Description of the Leading Order Quark and Gluon Production from a Space-Time Dependent Chromofield
• Fluctuations from dissipation in a hot non-Abelian plasma
• Thermodynamics of the quark-gluon plasma at finite chemical potential: color path integral Monte Carlo results
• Color conductivity and ladder summation in hot QCD
• Non-Abelian chiral instabilities at high temperature on the lattice
• Hard Thermal Loop -- theory and applications
• Divergences in Real-Time Classical Field Theories at Non-Zero Temperature
• From the Dyson-Schwinger to the Transport Equation in the Background Field Gauge of QCD
• A local Langevin equation for slow long-distance modes of hot non-Abelian gauge fields
• Color path-integral Monte Carlo simulations of quark-gluon plasma
• Non-equilibrium field theory
• Heavy flavor angular correlations as a direct probe of the glasma
• A scattering amplitudes approach to hard thermal loops
• Isotropization by QCD Plasma Instabilities
• The Boltzmann Equation in Classical Yang-Mills Theory
• Color Dynamics On Phase Space
• Nonlinear Response from Transport Theory and Quantum Field Theory at Finite Temperature
• Numerical Simulation of Non-Abelian Particle-Field Dynamics
• Transport theory for a two-flavor color superconductor
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory
• Collective Phenomena in the Non-Equilibrium Quark-Gluon Plasma
• QCD effective actions from the solutions of the transport equations
• In-medium Yang-Mills equations: a derivation and canonical quantization
• A Diagrammatic Interpretation of the Boltzmann Equation
• A simple criterion for effects beyond hard thermal loops
• Towards softer scales in hot QCD
• Quasi-linear transport approach to equilibration of quark-gluon plasmas
• Non-Abelian Medium Effects in Quark-Gluon Plasma
• Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature
• Quantum simulations of strongly coupled quark-gluon plasma
• Correlation functions and dissipation in hot QCD
• Color-electric conductivity in a viscous quark-gluon plasma
• On the fluctuation-dissipation theorem for soft fermionic excitations in a hot QCD plasma
• The Nonlinear Permittivity Including Non-Abelian Self-interaction of Plasmons in Quark-Gluon Plasma
• On kinetic theories with color and spin from amplitudes
• Problem of the noise-noise correlation function in hot non-Abelian plasma
• Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model
• Bodeker's Effective Theory: From Langevin Dynamics to Dyson-Schwinger Equations
• Fermion dynamics in presence of non abelian monopoles
• Kinetic-theory approach to Gluon Self-energy beyond Hard Thermal Loops
• Scattering of high-energy partons off ultrasoft gluon fluctuations in hot QCD plasma and energy losses