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We analyze the two-dimensional CP(N-1) sigma model defined on a finite spaceinterval L, with various boundary conditions, in the large N limit. With theDirichlet boundary condition at the both ends, we show that the system has aunique phase, which smoothly approaches in the large L limit the standard 2DCP(N-1) sigma model in confinement phase, with a constant mass generated forthe n(i) fields. We study the full functional saddle-point equations for finiteL, and solve them numerically. The latter reduces to the well-known gapequation in the large L limit. It is found that the solution satisfies actuallyboth the Dirichlet and Neumann conditions.

Large-N CP(N-1) sigma model on a finite interval: physical boundary effects