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

The Maxwell–Chern–Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the θ → 0 limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the θ → 0 limit. The absence of any regular non-trivial lumpy solutions satisfying B–P–S bound has been conclusively demonstrated. PAC codes: 11.15.-q, 11.10.Nx,