Momentum Broadening of a Fast Parton in a Perturbative Quark-Gluon Plasma

Abstract

The average transverse momentum transfer per unit path length to a fast parton scattering elastically in a perturbative quark-gluon plasma is related to the radiative energy loss of the parton. We first calculate the momentum transfer coefficient $\hat{q}$ in terms of a classical Langevin problem and then define it quantum-mechanically through scattering matrix element. After treating the well known case of a quark-gluon plasma in equilibrium we consider an off-equilibrium unstable plasma. As a specific example, we treat the two-stream plasma with unstable modes of longitudinal chromoelectric field. In the presence of the instabilities, $\hat{q}$ is shown to exponentially grow in time.

Updated version containing an analysis of insufficiencies in previous calculations of momentum broadening in unstable plasmas

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Cited by in corpus (13)

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• Anisotropic momentum broadening in the 2+1D Glasma: analytic weak field approximation and lattice simulations
• Probing Two Holographic Models of Strongly Coupled Anisotropic Plasma
• The momentum broadening of energetic partons in an anisotropic plasma
• Energy Loss in Unstable Quark-Gluon Plasma
• Momentum broadening in unstable quark-gluon plasma
• Effective dynamics of a nonabelian plasma out of equilibrium
• Radiative energy loss in an anisotropic Quark-Gluon-Plasma
• Drag and Diffusion of Heavy Quarks in a hot and anisotropic QCD medium
• Nuclear modification factor in an anisotropic {\em Quark-Gluon-Plasma}
• On the Dynamics of Unstable Quark-Gluon Plasma