Exact sum rules for vector channel at finite temperature and their application to lattice QCD analysis

  • We derive three exact sum rules for the spectral function of the electromagnetic current with zero spatial momentum at finite temperature. Possible applications of the three sum rules to lattice computations of the spectral function and transport coefficients are also discussed: We propose an ansatz for the spectral function that can be applied to all three sum rules and fit it to available lattice data of the Euclidean vector correlator above the critical temperature. As a result, we obtain estimates for both the electrical conductivity σ and the second order transport coefficient τJ.

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Author:Daisuke SatowORCiD, Philipp GublerORCiD
URN:urn:nbn:de:hebis:30:3-715953
DOI:https://doi.org/10.1051/epjconf/201713707022
ISSN:2100-014X
Parent Title (English):EPJ Web of Conferences
Publisher:EDP Sciences
Place of publication:Les Ulis
Document Type:Article
Language:English
Date of Publication (online):2017/03/22
Date of first Publication:2017/03/22
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Contributing Corporation:Quark Confinement and the Hadron Spectrum (Veranstaltung (12. : 2016 : Thessaloniki, Greece)
Release Date:2023/02/07
Volume:137
Issue:07022
Page Number:10
HeBIS-PPN:505738708
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0