Hot QED on a small circle: Implications for anomalous baryon nonconservation

Physics

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Classical And Semiclassical Techniques, Flavor Symmetries, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Baryon number is anomalous in the Weinberg-Salam model and may be substantially violated at temperatures larger than a few TeV. The Schwinger model on a circle has similar properties and is exactly soluble. In this model, we investigate whether the rate for anomalous charge violation is exponentially small due to suppression by instanton factors. By direct calculation, we show it is consistent that (1) the expectations of charge-violating operators, analogous to in electroweak theory, are suppressed whereas (2 the overall rates for charge-violating processes are unsuppressed. We explicitly invalidate a recent argument to the contrary due to Cohen, Dugan, and Manohar.

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