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Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and Dirac Weyl operator

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83455

Title: Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and Dirac Weyl operator
Authors: Arai, A. Browse this author
Issue Date: 1-Sep-1995
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 308
Start Page: 1
End Page: 17
Abstract: We consider a representation of canonical commutation relations (CCR) appear­ing in a (non-Abelian) gauge theory on a non-simply connected region in the two­dimensional Euclidean space. A necessary and sufficient condition for the representa­tion to be equivalent to the Schrodinger representation of CCR is given in terms of Wilson loops. A representation inequivalent to the Schrodinger representation gives a mathematical expression for the (non-Abelian) Aharonov-Bohm effect. Some aspects of the Dirac-Weyl operator associated with the representation of CCR are discussed.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69059
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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