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

Abstract

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.

LaTex 22 pages, 6 figures

References in corpus (3)

• CP(N-1) model on finite interval in the large N limit
• Non-Abelian String of a Finite Length
• Monopole-vortex complex in a theta vacuum

Cited by in corpus (5)

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• Nonlinear dynamical Casimir effect at weak nonstationarity
• Nonperturbative Casimir Effects in Field Theories: aspects of confinement, dynamical mass generation and chiral symmetry breaking
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories