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We compute and analyze correlation functions in the isovector vector channelat vanishing spatial momentum across the deconfinement phase transition inlattice QCD. The simulations are carried out at temperatures $T/T_c=0.156, 0.8,1.0, 1.25$ and $1.67$ with $T_c\simeq203$MeV for two flavors of Wilson-Cloverfermions with a zero-temperature pion mass of $\simeq270$MeV. Exploiting exactsum rules and applying a phenomenologically motivated ansatz allows us todetermine the spectral function $\rho(\omega,T)$ via a fit to the latticecorrelation function data. From these results we estimate the electricalconductivity across the deconfinement phase transition via a Kubo formula andfind evidence for the dissociation of the $\rho$ meson by resolving itsspectral weight at the available temperatures. We also apply the Backus-Gilbertmethod as a model-independent approach to this problem. At any given frequency,it yields a local weighted average of the true spectral function. We use thismethod to compare kinetic theory predictions and previously publishedphenomenological spectral functions to our lattice study.

Charge transport and vector meson dissociation across the thermal phase transition in lattice QCD with two light quark flavors