Grassmannian sigma model on a finite interval

Abstract

We discuss the two-dimensional Grassmannian sigma model ${\mathbb{G}}_{N,M}$ on a finite interval $L$. The different boundary conditions which allow to obtain analytical solutions by the saddle-point method in the large $N$ limit are considered. The nontrivial phase structure of the model on the interval similar to $\mathbb{C}P(N)$ model is found.

8 pages

References in corpus (1)

• CP(N-1) model on finite interval in the large N limit

Cited by in corpus (2)

• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• CP(N) model on regions with boundary