The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

Abstract

Within the framework of the semiclassical approximation, we derive the Boltzmann equation describing the dynamics of colorless plasmons in a hot QCD plasma. The probability of the plasmon-plasmon scattering at the leading order in the coupling constant is obtained. This probability is gauge-independent at least in the class of the covariant and temporal gauges. It is noted that the structure of the scattering kernel possesses important qualitative difference from the corresponding one in the Abelian plasma, in spite of the fact that we focused our study on the colorless soft excitations. It is shown that four-plasmon decay is suppressed by the power of $g$ relative to the process of nonlinear scattering of plasmons by thermal particles at the soft momentum scale. It is stated that the former process becomes important in going to the ultrasoft region of the momentum scale.

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References in corpus (6)

• From hard thermal loops to Langevin dynamics
• Effective Transport Equations for non-Abelian Plasmas
• Ultrasoft Amplitudes in Hot QCD
• Four-Point Spectral Functions and Ward Identities in Hot QED
• Towards softer scales in hot QCD
• A New Formulation of a 1+1 Dimensional Field Theory Constrained to a Box

Cited by in corpus (4)

• Nonlinear dynamics of soft boson excitations in hot QCD plasma I: plasmon-plasmon scattering
• Nonlinear dynamics of soft fermion excitations in hot QCD plasma I: soft-quark - soft-gluon scattering
• Nonlinear Landau damping of a plasmino in the quark-gluon plasma
• Quasi-linear transport approach to equilibration of quark-gluon plasmas