Large-N CP(N-1) sigma model on a finite interval: physical boundary effects
High Energy Physics - Theory
2016-08-09 v2 High Energy Physics - Lattice
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.
Keywords
Cite
@article{arxiv.1604.05630,
title = {Large-N CP(N-1) sigma model on a finite interval: physical boundary effects},
author = {Stefano Bolognesi and Kenichi Konishi and Keisuke Ohashi},
journal= {arXiv preprint arXiv:1604.05630},
year = {2016}
}
Comments
LaTex 22 pages, 6 figures