Počet záznamů: 1

Integer topological charges for finite energy fields in the O(3) σ-model

  1. 1.
    0349277 - UJF-V 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
    Grant CEP: GA MŠk 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