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

Understand

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 Ans\"atze for the spectral function to the continuum extrapolated correlator data, where the correlations between the data points have been included.