FINITE-TEMPERATURE CORRELATORS IN THE SCHWINGER MODEL

We discuss the correlation function of hadronic currents in the Schwin ger model at finite temperature T. We explicitly construct the retarde d correlator in real time and obtain analytical results for the euclid ean correlator on a torus. Both constructions lead to the same finite temperature spectral function. The spatial screening lengths in the me sonic channels are related to the dynamical meson mass m = e/root pi a nd not 2 pi T even in the infinite temperature limit. The relevance of our results for the finite temperature problem in four dimensions is discussed.