ON THE QUESTION OF REGULAR SOLITONS IN A NONCOMMUTATIVE MAXWELL–CHERN–SIMONS–HIGGS MODEL

Abstract

The Maxwell–Chern–Simons model with scalar 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 give 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.