Abstract
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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ArXiv ePrint: 1802.08543
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Bolognesi, S., Gudnason, S.B., Konishi, K. et al. Large-N ℂℙN − 1 sigma model on a finite interval: general Dirichlet boundary conditions. J. High Energ. Phys. 2018, 64 (2018). https://doi.org/10.1007/JHEP06(2018)064
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DOI: https://doi.org/10.1007/JHEP06(2018)064