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...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
12 March 2004
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| 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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| 245 | 1 | 0 | |a Doubly periodic instantons and their constituents |c 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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| 520 | |a 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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