CP(N) model on regions with boundary

Abstract

In this note we discuss the CP(N) model in large N limit in saddle point approximation on disc and annulus with various combinations of Dirichlet and Neumann boundary conditions. We show that homogeneous condensate is not a saddle point in any of considered cases. Behavior of inhomogeneous condensate near boundary is briefly discussed.

7 pages, no figures

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Cited by in corpus (2)

• Casimir Force for the $\mathbb{C}{P}^{N-1}$ Model
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model