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Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and Dirac Weyl operator
| 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
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Submitter: 数学紀要登録作業用
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