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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2001-3
January 2001

Noncommutative Scalar Solitons: Existence and Nonexistence


Bergfinnur Durhuus

Thordur Jonsson, Ryszard Nest


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 sperically symmetric solutions for small theta.

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This paper has now been published in Phys. lett. 500 (2001) 320.