arXiv subjects

Sergei Antsipovich

Publications and source records attributed to Sergei Antsipovich.

3 recordsLinked to original sources

arXiv2026

Stress stability criterion of the isospinning $\mathbb{C}P^2$ solitons

We study the energy-momentum tensor of stationary rotating topological solitons in a (2 + 1)-dimensional $\mathbb{C}P^2$ nonlinear sigma model with a stabilizing potential term. We evaluate the distributions of the corresponding shear forces and pressure and study the stability criteria for these solutions. Our results suggest that these solitons become classically unstable for some range of values of the parameters of the system.

hep-th↗

arXiv2025

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

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.

hep-th↗

arXiv2024

Isospinning ${\mathbb C}P^2$ solitons

We study stationary rotating topological solitons in (2+1)-dimensional ${\mathbb C}P^2$ non-linear sigma model with a stabilizing potential term. We find families of $U(1)\times U(1)$ symmetric solutions with topological degrees larger than 2, which have two angular frequencies and are labelled by two (one topological and the other non-topological) winding numbers $k_1>k_2$. We discuss properties of these solitons and investigate the domains of their existence.

hep-th↗