Leading Order QCD Shear Viscosity from the 3PI Effective Action

Abstract

In this article we calculate the leading order shear viscosity in QCD using the resummed 3PI effective action. We work to 3-loop order in the effective action. We show that the integral equations that resum the pinching and collinear contributions are produced naturally by the formalism. All leading order terms are included, without the need for any kind of power counting arguments.

23 pages, 27 figures

References in corpus (5)

• Leading Order Calculation of Shear Viscosity in Hot Quantum Electrodynamics from Diagrammatic Methods
• Leading Order QED Electrical Conductivity from the 3PI Effective Action
• QED Electrical Conductivity using the 2PI Effective Action
• Ward Identities for the 2PI effective action in QED
• Real time statistical field theory

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• Next-to-Leading Order Transport Coefficients from the Four-Particle Irreducible Effective Action
• Broken phase scalar effective potential and Phi-derivable approximations
• Renormalization group flow equations connected to the $n$PI effective action
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• Ultra-soft fermionic excitation at finite chemical potential
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• A new method to calculate the n-Particle Irreducible Effective Action
• Renormalization of the 4PI effective action using the functional renormalization group
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• Symmetry improvement of 3PI effective actions for O(N) scalar field theory
• Results from the 4PI Effective Action in 2- and 3-dimensions
• Off-diagonal kinetic theory in ultrasoft momentum region at high temperature
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• nPI Resummation in 3D SU(N) Higgs Theory