Thermal dilepton rates and electrical conductivity of the QGP from the lattice

Abstract

We investigate the temperature dependence of the thermal dilepton rate and the electrical conductivity of the gluon plasma at temperatures of $1.1T_c$, $1.3T_c$ and $1.5T_c$ in quenched QCD. Making use of non-perturbatively clover-improved Wilson valence quarks allows for a clean extrapolation of the vector meson correlation function to the continuum limit. We found that the vector correlation function divided by $T^3$ is almost temperature independent in the current temperature window. The spectral functions are obtained by ${\chi }^2$ fitting of phenomenologically inspired Ansätze for the spectral function to the continuum extrapolated correlator data, where the correlations between the data points have been included. Systematic uncertainties arising from varying the Ansätze motivated from strong coupling theory as well as perturbation theory are discussed and estimated. We found that the electrical conductivity of the hot medium, related to the slope of the vector spectral function at zero frequency and momentum, is $0.2C_{em}\lesssim \sigma /T\lesssim 0.7C_{em}$ for $T=1.1T_c$ and $0.2C_{em}\lesssim \sigma /T\lesssim 0.4C_{em}$ for the higher temperatures. The dilepton rates and soft photon rates, resulting from the obtained spectral functions, show no significant temperature dependence, either.

14 pages, clarifications added

References in corpus (8)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Critical point and scale setting in SU(3) plasma: An update
• Lattice constraints on the thermal photon rate
• Continuum estimate of the heavy quark momentum diffusion coefficient $\kappa$
• Electromagnetic Probes at RHIC-II

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