Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-12-26
Phys.Rev. D50 (1994) 7584-7591
Physics
High Energy Physics
High Energy Physics - Theory
18 pages
Scientific paper
10.1103/PhysRevD.50.7584
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 regardless 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.
Park Mu-In
Park Young-Jai
No associations
LandOfFree
Operator Ordering Problem of the Nonrelativistic Chern-Simons Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Operator Ordering Problem of the Nonrelativistic Chern-Simons Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operator Ordering Problem of the Nonrelativistic Chern-Simons Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-182478