Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability

Details Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability

2001-04-02

arxiv.org/abs/hep-th/0104017v4

JHEP 0106:040,2001

Physics

High Energy Physics

High Energy Physics - Theory

Second revision: Discussions of translation zero-modes in section 4 and scales in section 5 improved; web addresses of movies

Scientific paper

10.1088/1126-6708/2001/06/040

We find the N-soliton solution at infinite theta, as well as the metric on the moduli space corresponding to spatial displacements of the solitons. We use a perturbative expansion to incorporate the leading 1/theta corrections, and find an effective short range attraction between solitons. We study the stability of various solutions. We discuss the finite theta corrections to scattering, and find metastable orbits. Upon quantization of the two-soliton moduli space, for any finite theta, we find an s-wave bound state.

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