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

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arxiv hep-lat/0703008 v2 pith:OVTYXXM6 submitted 2007-03-12 hep-lat cond-mat.otherhep-phhep-thnucl-th

classification hep-latcond-mat.otherhep-phhep-thnucl-th
keywords smallconductivityelectricalenergiesfinitefunctionslatticemethod
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model

    hep-ph 2024-11 conditional novelty 5.0 of 10

    Electrical conductivity to temperature ratio in quark matter decreases with increasing chiral chemical potential in the NJL model, most strongly at low temperature.

  2. Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme

    hep-ph 2026-06 unverdicted novelty 3.5 of 10

    Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.

  3. The spectral reconstruction problem for thermal photon and dilepton rates

    hep-ph 2025-08 unverdicted novelty 2.0 of 10

    A proceedings review presents an improved estimator (lambda = 2) and new lattice QCD estimates for the thermal photon production rate from quark-gluon plasma.

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