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title:
 
Representation of Canonical Commutation Relations in a Gauge Theory, the Aharonov-Bohm Effect, and the Dirac-Weyl Operator
publication:
 
JNMP
volume-issue:   2 - 3-4
pages:   247 - 262
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.1995.2.3-4.4 (how to use a DOI)
author(s):
 
Asao ARAI
publication date:
 
September 1995
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 two-dimensional Euclidean space. A necessary and sufficient condition for the representation to be equivalent to the Schrödinger representation of CCR is given in terms of Wilson loops. A representation inequivalent to the Schrödinger representation gives a mathematical expression for the (non-Abelian) Aharonov-Bohm effect. Some aspects of the DiracWeyl operator associated with the representation of CCR are discussed.
copyright:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
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