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

Summary: Spectral Functions at Small Energies and the Electrical Conductivity
in Hot Quenched Lattice QCD
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.
DOI: 10.1103/PhysRevLett.99.022002 PACS numbers: 12.38.Gc, 12.38.Mh
In the deconfined, high-temperature phase of quantum
chromodynamics, the behavior of spectral functions of
conserved currents at small energies is of intrinsic interest
due to its relation with transport properties of the quark-
gluon plasma (QGP). According to the Kubo formulas [1],
transport coefficients, such as the shear and bulk viscosities

  

Source: Aarts, Gert - Department of Physics, University of Wales Swansea

 

Collections: Physics