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Phys. Rev. Lett. 99, 022002 (2007) [4 pages]

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

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Gert Aarts, Chris Allton, Justin Foley, and Simon Hands
Department of Physics, Swansea University, Swansea SA2 8PP, United Kingdom

Seyong Kim
Department of Physics, Sejong University, Seoul 143-747, Korea

Received 15 March 2007; published 13 July 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.022002
DOI:
10.1103/PhysRevLett.99.022002
PACS:
12.38.Gc, 12.38.Mh