Spectral Functions at Small Energies and the Electrical Conductivity in Hot Quenched Lattice QCD

2007/03/31 by Gert Aarts, Chris Allton, Justin Foley +2 · 18 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Conductivity #Deconfinement #Electrical resistivity and conductivity #Euclidean geometry #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematics #Maximum entropy method #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Spectral function #Spectral properties #Statistical physics #cond-mat.other #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevlett.99.022002

published as Phys.Rev.Lett.99:022002,2007 · 4 pages, v2: minor changes, footnote corrected, to appear in PRL

arxiv created 2007/06/08 · openalex publication_date 2007/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In lattice QCD, the maximum entropy method can be used to reconstruct spectral functions from Euclidean correlators obtained in numerical simulations. We show that at finite temperature the most commonly used algorithm, employing Bryan's method, is inherently unstable at small energies and gives a modification that avoids this. We demonstrate this approach using the vector current-current correlator obtained in quenched QCD at finite temperature. Our first results indicate a small electrical conductivity above the deconfinement transition.

Citations

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• New forms of QCD matter discovered at RHIC

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