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arXiv · hep-ph/9312362

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 $m=e/\sqrtπ$ and not $2πT$ even in the infinite temperature limit. The relevance of our results for the finite temperature problem in four dimensions is discussed.

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A. Fayyazuddin, T. H. Hansson, M. A. Nowak, J. J. M. Verbaarschot, I. Zahed. 1994-01-03. Finite Temperature Correlators in the Schwinger Model. https://doi.org/10.1016/0550-3213(94)90287-9

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