Axial anomaly and the ac Josephson effect in (1+1)-dimensional models

Physics

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Massless electrons display an axial anomaly and nonrelativistic, superconducting electrons an ac Josephson effect. These effects are studied in one time and one space dimension. The spatial dimension has a ring topology. The effects are the responses of the Dirac and Fermi seas to external electric fields and are in many ways quite similar. The reason for this is that the Fermi sea is a regularization of the Dirac sea. Analogies between the two systems related to the dc Josephson effect are also discussed.

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