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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 current status of research related to the behavior of the ϕ meson in nuclear matter is reviewed. First, recent theoretical works based of QCD sum rules and effective theory approaches are discussed. Next, preliminary results of transport simulations of pA reactions, with the goal of reproducing the dilepton spectra of the KEK E325 experiment are presented.
After briefly reviewing the state of theoretical knowledge related to the behavior of the ϕ meson in nuclear matter, preliminary results of transport simulations of pA reactions corresponding to the KEK E325 experiment are presented. Finally, an outlook to current and future developments in the field is given.