Charge quantization conditions based on the Atiyah--Singer index theorem

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dc.creatorDeguchi, Shinichi
dc.creatorKitsukawa, Kaoru
dc.date2005-12-06
dc.date2006-06-21
dc.date.accessioned2026-07-07T10:45:24Z
dc.date.available2026-07-07T10:45:24Z
dc.descriptionDirac's quantization condition, $eg=n/2$ ($n \in \Bbb Z$), and Schwinger's quantization condition, $eg=n$ ($n \in \Bbb Z$), for an electric charge $e$ and a magnetic charge $g$ are derived by utilizing the Atiyah-Singer index theorem in two dimensions. The massless Dirac equation on a sphere with a magnetic-monopole background is solved in order to count the number of zero-modes of the Dirac operator.
dc.description16 pages, no figures; minor corrections, references added, published version
dc.identifierhttps://arxiv.org/abs/hep-th/0512063
dc.identifierhttp://arxiv.org/abs/hep-th/0512063
dc.identifierProg.Theor.Phys.115:1137-1149,2006
dc.identifierdoi:10.1143/PTP.115.1137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182903
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleCharge quantization conditions based on the Atiyah--Singer index theorem
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