Hamiltonian approach to isospinning ${\mathbb C}P^2$ solitons

Sergei Antsipovich

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arXiv · 2505.08110

Hamiltonian approach to isospinning ${\mathbb C}P^2$ solitons

Sergei Antsipovich

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Abstract

Isorotating ${\mathbb C}P^2$ Q-solitons in $2+1$ dimensions were studied. Hamiltonian formalism as a more physically meaningful yet fairly demanding approach was adopted during the investigation, which helped to exclude unobservable parameters such as angular frequencies and Lagrangian. This approach also highlighted the non-topological nature of the stabilization mechanism and revealed a number of similarities between well-known $U(1)$ Q-balls and ${\mathbb C}P^2$ isospinning solitons, thus rendering the latter a suitable extension of the former for the case of higher Lagrangian symmetry group and paving the way for further ${\mathbb C}P^N$ generalizations. Due to the peculiarities of the model, numerical optimisation algorithms were chosen to obtain the solutions.

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Sergei Antsipovich. 2025-05-12. Hamiltonian approach to isospinning ${\mathbb C}P^2$ solitons. https://arxiv.org/abs/2505.08110

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