Finite Temperature Correlators in the Schwinger Model

Abstract

We discuss the correlation function of hadronic currents in the Schwinger model at finite temperature $T$. We explicitly construct the retarded correlator in real time and obtain analytical results for the Euclidean correlator on a torus. Both constructions lead to the same finite temperature spectral function. The spatial screening lengths in the mesonic channels are related to the dynamical meson mass $m=e/\sqrt{\pi }$ and 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.

in LATEX, 30 pages; two figures available on request from the authors; USITP-93-19, SUNY-NTG-43, (explanations to the figures have been clarified)

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