On Kolmogorov Wave Turbulence in QCD

Abstract

We investigate Kolmogorov wave turbulence in QCD or, in other words, we calculate the spectrum of gluons as a function of time, f_k(t), in the presence of a source which feeds in energy density in the infrared region at a constant rate. We find an early, an intermediate and a late time form for the gluon spectrum. Wave turbulence in QCD turns out to be somewhat different than the turbulence in the case of ϕ^4-type theories studied by Zakharov, L'vov and Falkovich. The hope is that a good understanding of QCD wave turbulence might lead to a better understanding of the instability problem in the early stages of the evolution after a heavy ion collision.

25 pages, 4 figures

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• The thermalization of soft modes in non-expanding isotropic quark gluon plasmas
• Glasma Evolution and Bose-Einstein Condensation with Elastic and Inelastic Collisions
• Theoretical overview: towards understanding the quark-gluon plasma
• Perturbative and Nonperturbative Kolmogorov Turbulence in a Gluon Plasma
• Kinetic evolution of the glasma and thermalization in heavy ion collisions
• From Glasma to Quark Gluon Plasma in heavy ion collisions
• How particles emerge from decaying classical fields in heavy ion collisions: towards a kinetic description of the Glasma
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• Superfluid Phase Transition with Activated Velocity Fluctuations: Renormalization Group Approach
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• On the imaginary part of the next-to-leading-order static gluon self-energy in an anisotropic plasma
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