Analytical evaluation of the anomalous fermion-number nonconservation at high temperatures in the (1 + 1)-dimensional Abelian Higgs model

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Abstract
The Abelian Higgs model with a fermionic current nonconserved due to an anomaly is considered in 1 + 1 dimensions. The one-loop expression for the rate of the fermionic-number nonconservation at high temperatures is obtained analytically for arbitrary values of the Lagrangian parameters.