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This chapter reviews hard thermal loop resummation in finite temperature quantum electrodynamics and quantum chromodynamics. It details the derivation of the HTL polarization tensor and the fermionic self-energy. The chapter discusses the HTL effective Lagrangian and the gauge independence of hard thermal loops. It then analyzes collective modes in the quark-gluon plasma, focusing on longitudinal and transverse gluon and quark excitations, as well as Landau damping. Finally, it presents state-of-the-art results for resummed three-loop QCD thermodynamics and related susceptibilities using hard thermal loop perturbation theory.

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Hard Thermal Loop Resummation for QED and QCD

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  • 发表日期：

    2026年

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  • Michael Strickland

摘要

This chapter reviews hard thermal loop resummation in finite temperature quantum electrodynamics and quantum chromodynamics. It details the derivation of the HTL polarization tensor and the fermionic self-energy. The chapter discusses the HTL effective Lagrangian and the gauge independence of hard thermal loops. It then analyzes collective modes in the quark-gluon plasma, focusing on longitudinal and transverse gluon and quark excitations, as well as Landau damping. Finally, it presents state-of-the-art results for resummed three-loop QCD thermodynamics and related susceptibilities using hard thermal loop perturbation theory.