Nonlinear dynamics of soft boson collective excitations in hot QCD plasma II: plasmon -- hard-particle scattering and energy losses

Abstract

In a general line with our first work (Ann.Phys.302(2002),172; hep-ph/0207316), within hard thermal loop approximation a general theory of the scattering for an arbitrary number of colorless plasmons off hard thermal particles of hot QCD-medium is considered. Using generalized Tsytovich correspondence principle, a connection between matrix elements of the scattering processes and a certain effective current, generating these processes is established. The iterative procedure of calculation of these matrix elements is defined, and a problem of their gauge-invariance is discussed. An application of developed theory to a problem of calculating energy losses of energetic color particle propagating through QCD-medium is considered. It is shown that for limiting value of the plasmon occupation number ($\sim 1/g^2$, where $g$ is a strong coupling) energy losses caused by spontaneous scattering process of energetic particle off soft-gluon waves is of the same order in the coupling as other known losses type: collision and radiation ones. The Fokker-Planck equation, describing decceleration (acceleration) and diffusion in momentum space of beam of energetic color particles scattering off soft excitations of quark-gluon plasma, is derived.

62 pages, 10 EPS figures

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• Nonlinear dynamics of soft fermion excitations in hot QCD plasma I: soft-quark - soft-gluon scattering
• Nonlinear dynamics of soft boson collective excitations in hot QCD plasma III: bremsstrahlung and energy losses
• Quasi-linear transport approach to equilibration of quark-gluon plasmas
• Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction I: plasmon -- hard particle scattering
• The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields
• On the fluctuation-dissipation theorem for soft fermionic excitations in a hot QCD plasma
• Scattering of high-energy partons off ultrasoft gluon fluctuations in hot QCD plasma and energy losses