Abstract
The most general Skyrme-Sigma models in two and three Euclidean dimensions described by O(3) and O(4) fields, respectively, are studied first by numerical methods, and analytic proofs of existence are subsequently given. Particular emphasis is given to the special cases of these models, where the topological inequalities can be saturated by self-duality equations. The O(d+1) models in d dimensions exhibit qualitatively similar features.
Original language | English (US) |
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Pages (from-to) | 2569-2584 |
Number of pages | 16 |
Journal | Journal of Mathematical Physics |
Volume | 37 |
Issue number | 6 |
DOIs | |
State | Published - Jun 1996 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics