Noncommutative scalar solitons: existence and nonexistence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, 1 figure, reference added, minor corrections

Scientific paper

10.1016/S0370-2693(01)00086-7

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 $\theta$.

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