Casimir Force for the ${\mathbb C}P^{N-1}$ Model
High Energy Physics - Theory
2019-10-15 v3 Superconductivity
High Energy Physics - Phenomenology
Abstract
In this work, we derive exact self-consistent solutions to the gap equations of the model on a finite interval with Dirichlet boundary conditions in the large- approximation. The solution reproduce the confining phase in the infinite system by taking the appropriate limit. We compute the vacuum energy and the Casimir force and observe that the sign of the force is always attractive.
Keywords
Cite
@article{arxiv.1708.08807,
title = {Casimir Force for the ${\mathbb C}P^{N-1}$ Model},
author = {Antonino Flachi and Muneto Nitta and Satoshi Takada and Ryosuke Yoshii},
journal= {arXiv preprint arXiv:1708.08807},
year = {2019}
}
Comments
6 pages, 3 figures. Updates in v2: fig.3 corrected, minor typos corrected. v3: published version