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

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    SYSNO ASEP0349277
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleInteger topological charges for finite energy fields in the O(3) σ-model
    Author(s) Dittrich, Jaroslav (UJF-V) RID, ORCID, SAI
    Source TitleJournal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113
    Roč. 43, č. 47 (2010), 474016/1-474016/9
    Number of pages9 s.
    Languageeng - English
    CountryGB - United Kingdom
    KeywordsHARMONIC MAPS ; REGULARITY ; NUMBER
    Subject RIVBE - Theoretical Physics
    R&D ProjectsLC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    CEZAV0Z10480505 - UJF-V (2005-2011)
    UT WOS000284100400017
    DOI10.10888/1751-8113/43/47/474016
    AnnotationIn 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.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2011
Number of the records: 1  

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