On Instability of Ground States in 2D \(\mathbb {CP}^{\,N-1}\) and \(\mathbb {O}^{N}\) Models at Large \(N\)
Year: 2025
Type: article
Abstract: We consider properties of the inhomogeneous solution found recently for the \(\mathbb {CP}^{\,N-1}\) model. The solution was interpreted as a soliton. We reevaluate its energy in three different ways and find that it is negative contrary to the previous claims. Hence, instead of the solitonic interpretation, it calls for reconsideration of the issue of the true ground state. While complete resolution is still absent, we show that the energy density of the periodic elliptic solution is lower than the energy density of the homogeneous ground state. We also discuss similar solutions for the \({\mathbb {O}}(N)\) model and for SUSY extensions. Abstract Published by the Jagiellonian University 2025 authors
Source: Acta Physica Polonica B
Authors: A. Gorsky, A. Pikalov, A. Vainshtein
Institution: University of Minnesota
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409504771