Non-BPS solutions of the noncommutative \(\mathbb{C}\mathbb{P}^{1}\) model in \(2+1\) dimensions. (English) Zbl 1226.81281
Summary: We find non-BPS solutions of the noncommutative \(\mathbb{C}\mathbb{P}^{1}\) model in \(2+1\) dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and the anti-soliton is small. We also construct time-dependent solutions and other types of solutions.
MSC:
| 81T75 | Noncommutative geometry methods in quantum field theory |
References:
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