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• W1992808894 endingPage "7591" @default.
• W1992808894 startingPage "7584" @default.
• W1992808894 abstract "The operator ordering problem due to the quantization or regularization ambiguity in the Chern-Simons theory exists. However, we show that this can be avoided if we require Galilei covariance of the nonrelativistic Abelian Chern-Simons theory even at the quantum level for the extended sources. The covariance can be recovered only by choosing some particular operator orderings for the generators of the Galilei group depending on the quantization ambiguities of the gauge-matter commutation relation. We show that the desired ordering for the unusual prescription is not the same as the well-known normal ordering but still satisfies all the necessary conditions. Furthermore we show that the equations of motion can be expressed in a similar form regardles of the regularization ambiguity. This suggests that the different regularization prescriptions do not change the physics. On the other hand, for the case of point sources the regularization prescription is uniquely determined, and only the orderings, which are equivalent to the usual one, are allowed." @default.
• W1992808894 created "2016-06-24" @default.
• W1992808894 creator A5063813422 @default.
• W1992808894 creator A5088847219 @default.
• W1992808894 date "1994-12-15" @default.
• W1992808894 modified "2023-10-12" @default.
• W1992808894 title "Operator ordering problem of the nonrelativistic Chern-Simons theory" @default.
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• W1992808894 doi "https://doi.org/10.1103/physrevd.50.7584" @default.
• W1992808894 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/10017742" @default.
• W1992808894 hasPublicationYear "1994" @default.
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