Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-11
Phys.Rev.D79:125024,2009
Physics
High Energy Physics
High Energy Physics - Theory
Accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.79.125024
The classical counterpart of noncommutative quantum mechanics is a constrained system containing only second class constraints. The embedding procedure formulated by Batalin, Fradkin and Tyutin (BFT) enables one to transform this system into an Abelian gauge theory exhibiting only first class constraints. The appropriateness of the BFT embedding, as implemented in this work, is verified by showing that there exists a one to one mapping linking the second class model with the gauge invariant sector of the gauge theory. As is known, the functional quantization of a gauge theory calls for the elimination of its gauge freedom. Then, we have at our disposal an infinite set of alternative descriptions for noncommutative quantum mechanics, one for each gauge. We study the relevant features of this infinite set of correspondences. The functional quantization of the gauge theory is explicitly performed for two gauges and the results compared with that corresponding to the second class system. Within the operator framework the gauge theory is quantized by using Dirac's method.
Bemfica F. S.
Girotti H. O.
No associations
LandOfFree
Noncommutative quantum mechanics as a gauge 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 Noncommutative quantum mechanics as a gauge theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative quantum mechanics as a gauge theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516898