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On the Moduli Space of Noncommutative Multi-solitons at Finite Theta

Takeo Araki·Katsushi Ito
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Abstract

We study the finite theta correction to the metric of the moduli space of noncommutative multi-solitons in scalar field theory in (2+1) dimensions. By solving the equation of motion up to order O(theta^{-2}) explicitly, we show that the multi-soliton solution must have the same center for a generic potential term. We examine the condition that the multi-centered configurations are allowed. Under this condition, we calculate the finite theta correction to the metric of the moduli space of multi-solitons and argue the possibility of the non right-angle scattering of two solitons. We also obtain the potential between two solitons.

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Takeo Araki, Katsushi Ito. 2002-10-08. On the Moduli Space of Noncommutative Multi-solitons at Finite Theta. https://doi.org/10.1016/s0370-2693(02)02903-9

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