Large-N ℂℙN − 1 sigma model on a finite interval: general Dirichlet boundary conditions

被引：0
作者：
Stefano Bolognesi
Sven Bjarke Gudnason
Kenichi Konishi
Keisuke Ohashi
机构：
[1] University of Pisa,Department of Physics “E. Fermi”
[2] INFN,Institute of Modern Physics
[3] Sezione di Pisa,Research and Education Center for Natural Sciences
[4] Chinese Academy of Sciences,undefined
[5] Keio University,undefined
来源：
Journal of High Energy Physics | / 2018卷
关键词：
Effective Field Theories; 1/N Expansion; Nonperturbative Effects;
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摘要：
This is the third of the series of articles on the large-N two-dimensional ℂℙN − 1 sigma model, defined on a finite space interval L with Dirichlet boundary conditions. Here the cases of the general Dirichlet boundary conditions are studied, where the relative ℂℙN − 1 orientations at the two boundaries are generic, and numerical solutions are presented. Distinctive features of the ℂℙN − 1 sigma model, as compared e.g., to an O(N) model, which were not entirely evident in the basic properties studied in the first two articles in the large N limit, manifest themselves here. It is found that the total energy is minimized when the fields are aligned in the same direction at the two boundaries.
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