Thermal Dilepton Rates and Meson Spectral Functions from Lattice QCD

Details Thermal Dilepton Rates and Meson Spectral Functions from Lattice QCD Thermal Dilepton Rates and Meson Spectral Functions from Lattice QCD

2002-02-28

arxiv.org/abs/hep-lat/0202031v1

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to the proceedings of the International Workshop XXX on Gross Properties of Nuclei and Nuclear Excitations - Ultr

Scientific paper

Pseudo-scalar and vector meson correlation functions were calculated at temperatures below and above the deconfinement transition using ${\cal O}(a)$ improved Wilson fermions in quenched lattice QCD. The spectral functions were reconstructed from the correlator given only at discrete points in Euclidean time by means of the Maximum Entropy Method without a priori assumptions on the spectral shape. The deviation of the spectral functions from the one of a freely propagating quark anti-quark pair is examined above the critical temperature. At 1.5 and 3 $T_c$ the vector spectral function yields an enhancement of the dilepton rate over the Born rate in the energy interval $4 < \omega/T < 8$ and a sharp drop at energies below 2-3 T.

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