TL;DR
This paper constructs and analyzes noncommutative Q-lumps in a 2+1 dimensional model, revealing their energy dependence, stability, and the influence of noncommutativity on their properties.
Contribution
It introduces noncommutative Q-lumps in the CP^N model, providing explicit solutions, energy relations, and stability analysis in the presence of noncommutativity.
Findings
Q-lumps are time-dependent, rotating solitons with energy E=2πk + α|Q|.
Energy depends on the noncommutativity parameter θ via the Noether charge Q.
CP^1 Q-lumps are stable under small radiative perturbations.
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 \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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