Moduli-space dynamics of noncommutative abelian sigma-model solitons

verfasst von
Michael Klawunn, Olaf Lechtenfeld, Stefan Petersen
Abstract

In the noncommutative (Moyal) plane, we relate exact U(1) sigma-model solitons to generic scalar-field solitons for an infinitely stiff potential. The static k-lump moduli space k/Sk features a natural Kähler metric induced from an embedding Grassmannian. The moduli-space dynamics is blind against adding a WZW-like term to the sigma-model action and thus also applies to the integrable U(1) Ward model. For the latter's two-soliton motion we compare the exact field configurations with their supposed moduli-space approximations. Surprisingly, the two do not match, which questions the adiabatic method for noncommutative solitons.

Organisationseinheit(en)
Institut für Theoretische Physik
Typ
Artikel
Journal
Journal of high energy physics
Band
2006
ISSN
1029-8479
Publikationsdatum
01.07.2006
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Elektronische Version(en)
https://doi.org/10.1088/1126-6708/2006/06/028 (Zugang: Unbekannt)