Dynamics of CP^1 lumps on a cylinder

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

35 pages, 10 figures

Scientific paper

10.1016/j.geomphys.2004.08.002

The slow dynamics of topological solitons in the CP^1 sigma-model, known as lumps, can be approximated by the geodesic flow of the L^2 metric on certain moduli spaces of holomorphic maps. In the present work, we consider the dynamics of lumps on an infinite flat cylinder, and we show that in this case the approximation can be formulated naturally in terms of regular Kaehler metrics. We prove that these metrics are incomplete exactly in the multilump (interacting) case. The metric for two-lumps can be computed in closed form on certain totally geodesic submanifolds using elliptic integrals; particular geodesics are determined and discussed in terms of the dynamics of interacting lumps.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Dynamics of CP^1 lumps on a cylinder 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 Dynamics of CP^1 lumps on a cylinder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of CP^1 lumps on a cylinder will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-145347

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.