Noncommutative Q-Lumps

Abstract

Q-lumps associated with the noncommutative CP^N model in 2+1 dimensions are constructed. These are solitonic configurations which are time dependent and rotate with constant angular frequency. Energy of the Q-lumps is E=2 πk + α|Q|, and we find that in a regime in which the noncommutativity parameter θis related to the moduli determining the size of the lumps, it can be viewed to depend on θvia the Noether charge Q. We present a collective coordinate-type analysis signalling that CP^1 Q-lumps remain stable under small radiative perturbations.

9 pages, 1 figure, Corrected typos, Added references, Added content, Published version

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