a Matematisk Institut, Universitetsparken 5, 2100 Copenhagen Ø, Denmark
b The Niels Bohr Institute and NORDITA, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark
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 θ and we prove the absence of spherically symmetric solutions for small θ.