2005/01/31 by Hou Defu, Defu, Hou · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boltzmann equation #FOS: Physical sciences #Formalism (music) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Integral equation #Mathematical analysis #Mathematical physics #Mathematics #Path integral formulation #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Resummation #Thermal quantum field theory #Viscosity #Volume viscosity #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0501284
15 pages with 3 figures
arxiv created 2005/01/31 · openalex publication_date 2005/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study shear viscosity in weakly coupled hot pure gauge field QCD theory basing on transport theory and the Kubo formula using the closed time path formalism (CTP) of real time finite temperature field theory. We show that the viscosity can be obtained as the integral of a retarded three-point function. Non-perturbative corrections to the bare one loop result can be obtained by solving a Schwinger-Dyson type integral equation for this vertex. This integral equation represents the resummation of an infinite series of ladder diagrams which all contribute to the leading-log order result. We show that this integral equation has exactly the same form as the linearized Boltzmann equation and explain the reason behind this formal equality.