Moduli-space dynamics of noncommutative abelian sigma-model solitons
- authored by
- 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.
- Organisation(s)
-
Institute of Theoretical Physics
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2006
- ISSN
- 1029-8479
- Publication date
- 01.07.2006
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.1088/1126-6708/2006/06/028 (Access:
Unknown)
