Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons

Details Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons

2006-04-28

arxiv.org/abs/hep-th/0604219v2

JHEP0606:028,2006

Physics

High Energy Physics

High Energy Physics - Theory

1+15 pages, 2 figures; v2: reference added, to appear in JHEP

Scientific paper

10.1088/1126-6708/2006/06/028

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 C^k/S_k features a natural K"ahler 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.

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