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Soudi, Ismail: Energy loss and equilibration of a highly energetic parton in QCD plasmas. 2021
Inhalt
Abstract
Contents
List of Figures
List of Tables
Introduction
Primer on heavy-ion collisions
Basics of Quantum Chromodynamics
Quark-Gluon Plasma
Heavy-ion collisions
Basics of QCD jets
Measurement of jets or high-pT particles in heavy-ion collisions
Effective kinetic theory of QCD
General framework
Elastic collision integral
Landau-Pomeranchuk-Migdal effect in QCD
Collinear radiation
Wave turbulence
Longitudinal energy loss
Kinetic description
Small angle approximation
Collinear radiation
Conservation laws and scaling
Energy loss and equilibration
Early stages of the evolution
Successive splittings & evolution at intermediate scales
Evolution towards equilibrium
Discussion
Out-of-cone energy loss
Kinetic description
Elastic scatterings
Energy loss and equilibration
Comparison with the small angle approximation
Energy loss
Equilibration
Quenching factors
Discussion
Non-perturbative in-medium splitting rates
Collisional broadening kernel
Interpolation of lattice data
Perturbative kernel in EQCD
Infinite medium splitting rates
Bethe-Heitler regime
Deep LPM regime
Results
Finite medium splitting rates
Broadening kernel in momentum space
Full rate calculation
Opacity expansion
Resummed opacity expansion
Improved harmonic oscillator approximation
Results
Discussion
Conclusion
Derivation of the small-angle approximation
Phase-space parametrization
Expansion of statistical terms
Evaluation of small angle matrix elements
Collision integrals in small angle approximation
Angular dependent case
Numerical implementation of the Boltzmann equation
Basic formalism
Discretization of small angle elastic collision integrals
Discretization of inelastic collision integrals
Comparison of the in-medium splitting rate to leading-log approximation
Discretization of the angular cascade
Elastic scatterings
Bethe-Heitler regime at infinite medium
Evaluating the integral in impact-parameter space
Finite medium splitting rate calculation
Interaction picture
Separating the soft scale
Bibliography