Počet záznamů: 1
Integer topological charges for finite energy fields in the O(3) σ-model
- 1.0349277 - ÚJF 2011 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: HARMONIC MAPS * REGULARITY * NUMBER
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.641, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0189560
Počet záznamů: 1