Abstract
We discuss the ordinary quantum Hall effect and a higher-dimensional cousin. We consider the dimensional reduction of these effects to 1 + 1 and 3 + 1 space-time dimensions, respectively. After dimensional reduction, an axion field appears, which plays the rôle of a space-time dependent difference of chemical potentials of chiral modes. As applications, we sketch a theory of quantum pumps and a mechanism for the generation of primeval magnetic fields in the early universe.
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Fröhlich, J., Pedrini, B. (2002). Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields. In: Cappelli, A., Mussardo, G. (eds) Statistical Field Theories. NATO Science Series, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0514-2_26
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DOI: https://doi.org/10.1007/978-94-010-0514-2_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0761-3
Online ISBN: 978-94-010-0514-2
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