Quantum partonic transport in QCD matter

Abstract

We study gradient corrections to the transport equation for energetic light partons in dense QCD environments. In the diffusion limit, the transport dynamics is solely controlled by small-angle elastic scatterings, leading to transverse momentum broadening with respect to the parton's initial direction. Such a parton propagation is usually considered in the limit of transversely homogeneous matter. The transport processes admit a classical description and the transverse spatial dependence of the medium properties emerges only through the jet quenching parameter. In this work, we show that a gradient expansion of the all-order evolution equation for the partonic Wigner function leads to an evolution equation in the Boltzmann-diffusion form only up to the leading order in transverse gradients. At the second order in gradients, the quantum corrections associated with non-local interactions give rise to a novel transport that can be implemented in Monte Carlo simulations. In addition, using our results, we compute the gradient corrections to the jet quenching parameter in inhomogeneous matter.

6 pages

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Cited by in corpus (11)

• Medium induced gluon spectrum in dense inhomogeneous matter
• Jet quenching in anisotropic flowing matter
• Precise description of medium-induced emissions
• Asymmetric transverse momentum broadening in an inhomogeneous medium
• How the QCD trace anomaly behaves at the core of twin stars?
• Jet quenching parameter in QCD kinetic theory
• Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
• Minijet quenching in non-equilibrium quark-gluon plasma
• Quantum to classical parton dynamics in QCD media
• QCD antenna radiative spectrum in dense media within the Improved Opacity Expansion
• Jet quenching in out-of-equilibrium QCD matter