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Towards next-to-leading order transport coefficients from the four-particle irreducible effective action

2009/12/31 by M. E. Carrington, E. Kovalchuk · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Action (physics) #Business #Geology #High-Energy Particle Collisions Research #Mathematics #Nuclear reactor physics and engineering #Order (exchange) #Particle (ecology) #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Statistical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.81.065017

published as Phys.Rev.D81:065017,2010 · 24 pages, 18 figures. Added references and minor rewordings: published version

arxiv created 2010/03/07 · openalex publication_date 2010/03/17 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Transport coefficients can be obtained from two-point correlators using the Kubo formulas. It has been shown that the full leading order result for electrical conductivity and (QCD) shear viscosity is contained in the resummed two-point function that is obtained from the three-loop three-particle irreducible resummed effective action. The theory produces all leading order contributions without the necessity for power counting, and in this sense it provides a natural framework for the calculation. In this article we study the four-loop four-particle irreducible effective action for a scalar theory with cubic and quartic interactions, with a nonvanishing field expectation value. We obtain a set of integral equations that determine the resummed two-point vertex function. A next-to-leading order contribution to the viscosity could be obtained from this set of coupled equations.

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