Thermal dilepton rates from quenched lattice QCD [Elektronische Ressource] : a study of thermal spectral functions in the continuum limit of quenched lattice QCD, at vanishing and finite momentum / Anthony Francis. Fakultät für Physik - Elementary Particles and Quantum Fields

PhD-Thesis in Theoretical PhysicsThermal Dilepton Rates fromQuenched Lattice QCDA study of thermal spectral functions in the continuumlimit of quenched lattice QCD, at vanishing and finitemomentumDissertationzur Erlangung des Doktorgradesan der Fakula¨t fu¨r Physikder Universita¨t Bielefeldvorgelegt vonAnthony FrancisBielefeldSeptember 2011Thermal Dilepton Rates from Quenched Lattice QCDA study of thermal spectral functions in the continuum limit of quenchedlattice QCD, at vanishing and finite momentumAbstract: We study light valence quark Euclidean correlation functions in finite temperature latticeQCD. The calculations have been performed in quenched lattice QCD at T ' 1.45T for four values ofc3the lattice cut-off on lattices up to size 128 48. This allows to perform a continuum extrapolationof the correlation function in the Euclidean time interval 0.2 τT 0.5 to better than 1% accuracy.3Additionally we study the temperature dependence of our results on 128 40, 32 and 16 lattices cor-responding to the temperatures T ' 1.2, 1.45 and 3.0T , as well as the momentum dependence in thec3vector case at T ' 1.45T on a lattice sized 128 48. Subsequently we compute the first two non-cvanishing thermal moments of the vector and pseudo scalar meson spectral functions on all lattices.