Finite Temperature Schwinger Model

Details Finite Temperature Schwinger Model Finite Temperature Schwinger Model

2010-05-11

arxiv.org/abs/1005.1822v1

Helv.Phys.Acta 65:652-678,1992

Physics

High Energy Physics

High Energy Physics - Theory

Pre-arXiv article from 1991, 22 pages

Scientific paper

The temperature dependence of the order parameter of the Schwinger model is calculated in the euclidean functional integral approach. For that we solve the model on a finite torus and let the spatial extension tend to infinity at the end of the computations. The induced actions, fermionic zero-modes, relevant Green functions and Wilson loop correlators on the torus are derived. We find the analytic form of the chiral condensate for any temperature and in particular show that it behaves like \< \bar\Psi\Psi \> \sim -2 T\exp(-\pi\sqrt{\pi}T/e) for temperatures large compared to the induced photon mass.

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