Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto
Abstract
Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto
Abstract
We find non-BPS solutions of the noncommutative CP^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.
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We find non-BPS solutions of the noncommutative CP^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.
Key concepts: Soliton, Noncommutative geometry, Mathematical physics, Physics, Quantum mechanics, Quantum electrodynamics, Mathematics, Nonlinear system