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We explore the continuum limit $a\rightarrow 0$ of meson correlationfunctions at finite temperature. In detail we analyze finite volume and latticecut-off effects in view of possible consequences for continuum physics. Weperform calculations on quenched gauge configurations using the clover improvedWilson fermion action. We present and discuss simulations on isotropic$N_\sigma^3\times 16$ lattices with $N_\sigma=32,48,64,128$ and $128^3 \timesN_\tau$ lattices with $N_\tau=16,24,32,48$ corresponding to lattice spacings inthe range of $0.01 fm \lsim a \lsim\ 0.031 fm$ at $T\simeq1.45T_c$. Continuumlimit extrapolations of vector meson and pseudo scalar correlators areperformed and their large distance expansion in terms of thermal moments isintroduced. We discuss consequences of this analysis for the calculation of theelectrical conductivity of the QGP at this temperature.

Continuum extrapolation of finite temperature meson correlation functions in quenched lattice QCD