Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-04-29
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, RevTeX; submitted to Phys. Rev. D
Scientific paper
We introduce topological magnetic field in two-dimensional flat space, which admits a solution of scalar monopole that describes the nontrivial topology. In the Chern-Simons gauge field theory of anyons, we interpret the anyons as the quasi-particles composed of fermions and scalar monopoles in such a form that each fermion is surrounded by infinite number of scalar monopoles. It is the monopole charge that determines the statistics of anyons. We re-analyze the conventional arguments of the connection between topology and statistics in three-dimensional space, and find that those arguments are based on the global topology, which is relatively trivial compared with the monopole structure. Through a simple model, we formulate the three-dimensional anyon field using infinite number of Dirac's magnetic monopoles that change the ordinary spacetime topology. The quasi-particle picture of the three-dimensional anyons is quite similar to that of the usual two-dimensional anyons. However, the exotic statistics there is not restricted to the usual fractional statistics, but a functional statistics.
Finkelstein David
Tang Zhong
No associations
LandOfFree
Connection between topology and statistics 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 Connection between topology and statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Connection between topology and statistics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-502223