Doubly periodic instantons and their constituents

Using the Nahm transform we investigate doubly periodic charge-one SU(2) instantons with radial symmetry. Two special points where the Nahm zero modes have softer singularities are identified as the locations of instanton core constituents. For a square torus this constituent picture is closely refl...

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Hauptverfasser: Ford, Chris (VerfasserIn) , Pawlowski, Jan M. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 12 March 2004
In: Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2004, Jahrgang: 69, Heft: 6
ISSN:1550-2368
DOI:10.1103/PhysRevD.69.065006
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.69.065006
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.69.065006
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Verfasserangaben:C. Ford, Instituut-Lorentz for Theoretical Physics, Niels Bohrweg 2, 2300 RA Leiden, The Netherlands; J.M. Pawlowski, Institut für Theoretische Physik III, Universität Erlangen Staudtstraße 7, D-91058 Erlangen, Germany
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Zusammenfassung:Using the Nahm transform we investigate doubly periodic charge-one SU(2) instantons with radial symmetry. Two special points where the Nahm zero modes have softer singularities are identified as the locations of instanton core constituents. For a square torus this constituent picture is closely reflected in the action density. In rectangular tori with large aspect ratios the cores merge to form monopolelike objects. For particular values of the parameters the torus can be cut in half, yielding two copies of a twisted charge-12 instanton. These findings are illustrated with plots of the action density within a two-dimensional slice containing the constituents.
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Beschreibung:Online Resource
ISSN:1550-2368
DOI:10.1103/PhysRevD.69.065006