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

@article{Hadasz2001NoncommutativeSM, title={Noncommutative solitons: moduli spaces, quantization, finite $\theta$ effects and stability}, author={Leszek Hadasz and Ulf Lindstrom and Martin Ro{\vc}ek and Rikard von Unge}, journal={Journal of High Energy Physics}, year={2001}, volume={2001}, pages={040-040} }

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…

## 29 Citations

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The Abelian Higgs model on the noncommutative plane admits both BPS vortices and non-BPS fluxons. After reviewing the properties of these solitons, we discuss several new aspects of the former. We…

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Abstract: We study the classical decay of unstable scalar solitons in noncommutative field theory in 2+1 dimensions. This can, but does not have to, be viewed as a toy model for the decay of D-branes…

### On Noncommutative Multi-Solitons

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