On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, Latex, minor changes, version to appear in Mod.Phys.Lett.A

Scientific paper

10.1142/S0217732307021457

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the $\theta \to 0$ limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the $\theta \to 0$ limit. The absence of any regular non-trivial lumpy solutions satisfying B--P--S bound has been conclusively demonstrated.

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