Spectral densities for hot QCD plasmas in a leading log approximation

Abstract

We compute the spectral densities of $T^{\mu \nu }$ and $J^{\mu }$ in high temperature QCD plasmas at small frequency and momentum,\, $\omega ,k\sim g^{4}T$. The leading log Boltzmann equation is reformulated as a Fokker Planck equation with non-trivial boundary conditions, and the resulting partial differential equation is solved numerically in momentum space. The spectral densities of the current, shear, sound, and bulk channels exhibit a smooth transition from free streaming quasi-particles to ideal hydrodynamics. This transition is analyzed with conformal and non-conformal second order hydrodynamics, and a second order diffusion equation. We determine all of the second order transport coefficients which characterize the linear response in the hydrodynamic regime.

39 pages, 6 figures. v3 contains an analysis of the bulk channel with non-conformal hydrodynamics. Otherwise no significant changes

References in corpus (19)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Viscosity, Black Holes, and Quantum Field Theory
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Color Screening Melts Quarkonium
• Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
• Quarkonium correlators and spectral functions at zero and finite temperature
• Second order hydrodynamic coefficients from kinetic theory
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Spectral sum rules for the quark-gluon plasma
• Asymptotics of thermal spectral functions
• Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
• Elliptic flow of gluon matter in ultrarelativistic heavy-ion collisions
• A model of the effect of collisions on QCD plasma instabilities
• Transport properties of the quark-gluon plasma from lattice QCD
• Correlation functions of the energy-momentum tensor in SU(2) gauge theory at finite temperature

Cited by in corpus (54)

• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
• Conformal anomaly as a source of soft photons in heavy ion collisions
• Bulk viscosity, particle spectra and flow in heavy-ion collisions
• A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion
• Gravitational wave background from Standard Model physics: Qualitative features
• Heavy-flavor production and medium properties in high-energy nuclear collisions - What next?
• Thermal Correlators in the ρ channel of two-flavor QCD
• Retarded Correlators in Kinetic Theory: Branch Cuts, Poles and Hydrodynamic Onset Transitions
• Thermal dilepton rates and electrical conductivity of the QGP from the lattice
• Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Lattice constraints on the thermal photon rate
• Shear Viscosity of Quark-Gluon Plasma in Weak Magnetic Field in Perturbative QCD: Leading Log
• Transport and hydrodynamics in the chiral limit
• Parton energy loss and momentum broadening at NLO in high temperature QCD plasmas
• Transport coefficients of the Gribov-Zwanziger plasma
• Second-order Hydrodynamics in Next-to-Leading-Order QCD
• On the temperature dependence of the electrical conductivity in hot quenched lattice QCD
• Kubo formulae for the shear and bulk viscosity relaxation times and the scalar field theory shear ${\tau }_{\pi }$ calculation
• Transport peak in thermal spectral function of $\mathcal{N}=4$ supersymmetric Yang-Mills plasma at intermediate coupling
• Thermalization of non-abelian gauge theories at next-to-leading order
• Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
• In-medium dispersion relations of charmonia studied by maximum entropy method
• Testing thermal photon and dilepton rates
• Does quark-gluon plasma feature an extended hydrodynamic regime?
• Spectral and transport properties from lattice QCD
• Anomalous transport from holography: Part II
• Can transport peak explain the low-mass enhancement of dileptons at RHIC?
• Momentum dependences of charmonium properties from lattice QCD
• Antiscreening of the Ampere force in QED and QCD plasmas
• Thermalization of gluons in spatially homogeneous systems
• Thermalization of mini-jets in a quark-gluon plasma
• Euclidean correlators at imaginary spatial momentum and their relation to the thermal photon emission rate
• Conserved and non-conserved Noether currents from the quantum effective action
• Finite temperature sum rules in the vector channel at finite momentum
• Low-mass dilepton production through transport process in quark-gluon plasma
• Kelvin-Helmholz instability in high energy heavy ion collisions
• Conductivity and quasinormal modes in holographic theories
• Bulk spectral function sum rule in QCD-like theories with a holographic dual
• Thermal dilepton rates from quenched lattice QCD
• Relaxation time approximation revisited and non-analytical structure in retarded correlators
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Longitudinal and transverse meson correlators in the deconfined phase from the lattice
• NLO thermal dilepton rate at non-zero momentum
• Fluctuations in ultra-relativistic heavy ion collisions
• Photon emissivity of the quark-gluon plasma: a lattice QCD analysis of the transverse channel
• The shear and bulk relaxation times from the general correlation functions
• The Wake of a Heavy Quark in Non-Abelian Plasmas : Comparing Kinetic Theory and the AdS/CFT Correspondence
• High statistics lattice study of stress tensor correlators in pure $SU(3)$ gauge theory
• The Wake of a Quark Moving through Hot QCD Plasmas vs. N = 4 SYM Plasmas
• Transport and response coefficients in second-order dissipative relativistic hydrodynamics with quantum corrections: probing the quark-gluon plasma