Noncommutative solitons: moduli spaces, quantization, finite θ effects and stability | Zendy

Leszek Hadasz | Zendy; M. Roček | Zendy; Ulf Lindström | Zendy; Rikard von Unge | Zendy

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Noncommutative solitons: moduli spaces, quantization, finite θ effects and stability

Author(s) -

Leszek Hadasz,

M. Roček,

Ulf Lindström,

Rikard von Unge

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/06/040

Subject(s) - noncommutative geometry , bound state , quantization (signal processing) , moduli space , physics , soliton , metastability , moduli , mathematical physics , quantum mechanics , mathematics , pure mathematics , nonlinear system , algorithm

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

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