Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-01-15
Int. J. Mod. Phys. A9 (1994) 3523-3534
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, (garbled introduction fixed), HUTP-92/A066; UICHEP-TH/92-20
Scientific paper
10.1142/S0217751X94001400
We examine the various linkings in space-time of ``ball-like'' and ``ring-like'' topological solitons in certain nonlinear sigma models in 2+1 and 3+1 dimensions. By going to theories where soliton overlaps are forbidden, these linkings become homotopically nontrivial and can be studied by investigating the topology of the corresponding configuration spaces. Our analysis reveals the existence of topological terms which give the linking number of the world-tubes of distinct species of ball solitons in 2+1 dimensions, or which in 3+1 dimensions count the number of times a ball or ring soliton threads through the center of a ring of a different species. We explicitly construct these terms for our models, and generalize them to cases where soliton overlaps are no longer strictly forbidden so the terms are no longer purely topological. One of the (3+1)-dimensional theories we consider also has topological solitons which consist of two rings (of distinct species) linked in space.
Brekke Lee
Hughes Shane J.
Imbo Tom D.
No associations
LandOfFree
Rings and Balls 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 Rings and Balls, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rings and Balls will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-488503