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