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Berry's phase,commutators, and the Dirac sea
Institution:1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA;2. Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;3. Department of Physics, Harvard University, Cambridge, MA 02138, USA;1. Physique Mathématique des Interactions Fondamentales & International Solvay Institutes, Université Libre de Bruxelles, Campus Plaine - CP 231, 1050 Bruxelles, Belgium;2. Illinois Center for Advanced Studies of the Universe & Department of Physics, University of Illinois, 1110 West Green St., Urbana IL 61801, USA
Abstract:We discuss the connection between the Berry phase and the Schwinger term in generators of symmetry groups, and stress the relative minus sign between the anomalous commutator of the currents and the anomalous commutator of the full group generators.
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