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

References in corpus (3)

• CP(N-1) model on finite interval in the large N limit
• Non-Abelian String of a Finite Length
• Grassmannian sigma model on a finite interval