CP(N-1) model on finite interval in the large N limit

Abstract

The CP(N-1) σ model on finite interval of length R with Dirichlet boundary conditions is analysed in the 1/N expansion. The theory has two phases, separated by a phase transition at R ~ 1/Λ, Λ is dynamical scale of the CP(N-1) model. The vacuum energy dependence of R, and especially Casimir-type scaling 1/R, is discussed.

8 pages, 1 figure

References in corpus (2)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence

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• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Grassmannian sigma model on a finite interval
• CP(N) model on regions with boundary