Anomalous Behavior in the Massive Schwinger Model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages. LaTex with epsf.sty. 6 ps figures included

Scientific paper

10.1016/S0370-2693(96)01252-X

We evaluate the chiral condensate and Polyakov loop in two-dimensional QED with a fermion of an arbitrary mass ($m$). We find discontinuous $m$ dependence in the chiral condensate and anomalous temperature dependence in Polyakov loops when the vacuum angle $\theta$$\sim$$\pi$ and $m$=O($e$). These nonperturbative phenomena are due to the bifurcation process in the solutions to the vacuum eigenvalue equation.

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