Non-Abelian gauge fields in two spatial dimensions
Journal Article
·
· Phys. Rev. D; (United States)
Generalizing an earlier work on the Abelian case the most general non-Abelian gauge theory in two spatial dimensions is derived. It is shown that local gauge invariance leads to a new term in the action which in turn requires that the gauge current operator have a part which is bilinear in the non-Abelian gauge field-strength tensor. Although a radiation (or axial) gauge quantization is possible, this approach is found not to yield the maximal set of commutation relations among the basic fields. The latter goal can be accomplished only by a rather unusual gauge choice which has not previously been studied. Quantization conditions on the coupling constant implied by invariance under large gauge transformations are also derived.
- Research Organization:
- Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
- OSTI ID:
- 5582719
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:10; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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