Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, v2: minor changes, footnote corrected, to appear in PRL

Scientific paper

10.1103/PhysRevLett.99.022002

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 give 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.

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