Noncommutative scalar solitons: existence and nonexistence

Abstract

We study the variational equations for solitons in noncommutative scalar field theories in an even number of spatial dimensions. We prove the existence of spherically symmetric solutions for a sufficiently large noncommutativity parameter $\theta$ and we prove the absence of spherically symmetric solutions for small $\theta$.

11 pages, 1 figure, reference added, minor corrections

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