Noncommutative Q-Lumps

Details Noncommutative Q-Lumps Noncommutative Q-Lumps

2008-08-27

arxiv.org/abs/0808.3745v3

Phys.Rev.D78:105018,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.78.105018

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 \pi k + \alpha |Q|, and we find that in a regime in which the noncommutativity parameter \theta is related to the moduli determining the size of the lumps, it can be viewed to depend on \theta via the Noether charge Q. We present a collective coordinate-type analysis signalling that CP^1 Q-lumps remain stable under small radiative perturbations.

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