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

Pradip Mukherjee·Anirban Saha
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Abstract

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

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Pradip Mukherjee, Anirban Saha. 2006-08-16. On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model. https://doi.org/10.1142/s0217732307021457

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