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Integer topological charges for finite energy fields in the O(3) σ-model
- 1.0349277 - ÚJF 2011 RIV GB eng J - Journal Article
Dittrich, Jaroslav
Integer topological charges for finite energy fields in the O(3) σ-model.
Journal of Physics A-Mathematical and Theoretical. Roč. 43, č. 47 (2010), 474016/1-474016/9. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : HARMONIC MAPS * REGULARITY * NUMBER
Subject RIV: BE - Theoretical Physics
Impact factor: 1.641, year: 2010
In the (2+1)-dimensional classical O(3) σ-model, all finite energy fields have integer topological charges regardless of their asymptotic behavior at infinity. The topological charge is conserved for the fields with the finite Euclidean action, without further assumptions on the field equations or asymptotics. The fields with continuous first derivatives as well as fields in Sobolev-like spaces analogical to W1, 2 are considered.
Permanent Link: http://hdl.handle.net/11104/0189560
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