Self-consistent Analytic Solutions in Twisted $\mathbb{C}{P}^{N-1}$ Model in the Large-$N$ Limit

Abstract

We construct self-consistent analytic solutions in the $\mathbb{C}{P}^{N-1}$ model in the large-$N$ limit, in which more than one Higgs scalar component take values inside a single or multiple soliton on an infinite space or on a ring, or around boundaries of a finite interval.

16 pages, 5 figures. Updates in v2: References added, Minor typos corrected. v3: Published version

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Cited by in corpus (6)

• Confinement-Deconfinement Crossover in the Lattice $\mathbb{C}{P}^{N-1}$ Model
• Lattice $\mathbb{C}{P}^{N-1}$ model with ${\mathbb{Z}}_N$ twisted boundary condition: bions, adiabatic continuity and pseudo-entropy
• Ground state modulations in the $\mathbb{C}{P}^{N-1}$ model
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Large-$N$ ${\mathbb{CP}}^{N-1}$ sigma model on a Euclidean torus: uniqueness and stability of the vacuum
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model