Grassmannian sigma model on a finite interval

Abstract

We discuss the two-dimensional Grassmannian sigma model ${\mathbb{G}}_{N,M}$ on a finite interval $L$. The different boundary conditions which allow to obtain analytical solutions by the saddle-point method in the large $N$ limit are considered. The nontrivial phase structure of the model on the interval similar to $\mathbb{C}P(N)$ model is found.

8 pages

References in corpus (6)

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• Solitons in the Higgs phase -- the moduli matrix approach --
• Quantum Vortex Strings: A Review
• The Higgs and Coulomb/Confining Phases in "Twisted-Mass" Deformed CP(N-1) Model
• CP(N-1) model on finite interval in the large N limit
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Cited by in corpus (8)

• Casimir Force for the $\mathbb{C}{P}^{N-1}$ Model
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Confining solitons in the Higgs phase of $\mathbb{C}{P}^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model
• Grassmannian and Flag sigma models on interval: phase structure and L-dependence
• CP(N) model on regions with boundary
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• One-loop effective action of the $\mathbb{C}{P}^{N-1}$ model at large $\mu \beta$