Spectral densities for hot QCD plasmas in a leading log approximation

2010/03/31 by Juhee Hong, Derek Teaney · 1 citation
Physics and Astronomy · #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.82.044908

published as Phys.Rev.C82:044908,2010 · 39 pages, 6 figures. v3 contains an analysis of the bulk channel with non-conformal hydrodynamics. Otherwise no significant changes

arxiv created 2010/09/11 · arxiv updated 2012/06/12

Abstract

We compute the spectral densities of T^μν and J^μ in high temperature QCD plasmas at small frequency and momentum, ω,k ∼ g⁴ 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.

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