https://doi.org/10.1051/epjconf/201713707022
Exact sum rules for vector channel at finite temperature and their application to lattice QCD analysis
1 Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany
2 Department of Physics and Institute of Physics and Applied Physics, Yonsei University, Seoul 120-749, Korea
a e-mail: dsato@th.physik.uni-frankfurt.de
Published online: 22 March 2017
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.
© The Authors, published by EDP Sciences, 2017
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