Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-02-21
Phys.Rev. D64 (2001) 025018
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, no figures, references added and typos corrected
Scientific paper
10.1103/PhysRevD.64.025018
The Chern-Simons theories on a noncommutative plane, which is shown to be describing the quantum Hall liquid, is considered. We introduce matter fields fundamentally coupled to the noncommutative Chern-Simons field. Exploiting BPS equations for the nonrelativistic Chern-Simons theory, we find the exact solutions of multi vortices that are closely packed and exponentially localized. We determine the position, the size and the angular momentum explicitly. We then construct the solutions of two spatially separated vortices and determine the moduli dependence of the size and the angular momentum. We also consider the relativistic Chern-Simons theory and find nontopological solutions whose properties are similar to the nonrelativistic counterpart. However, unlike the nonrelativistic case, there are two branches of solutions for a given magnetic field and they cease to exist below certain noncommutativity scale.
Bak Dongsu
Kim Sung Ku
Soh Kwang-Sup
Yee Jae Hyung
No associations
LandOfFree
Noncommutative Chern-Simons Solitons 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 Chern-Simons Solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Chern-Simons Solitons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-520212