### Abstract

In this work, we derive exact self-consistent solutions to the gap equations of the CP^{N−1} model on a finite interval with Dirichlet boundary conditions in the large-N approximation. The solution reproduces 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.

Original language | English |
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Article number | 134999 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 798 |

DOIs | |

Publication status | Published - 2019 Nov 10 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Flachi, A., Nitta, M., Takada, S., & Yoshii, R. (2019). Casimir force for the CP

^{N−1}model.*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*798*, [134999]. https://doi.org/10.1016/j.physletb.2019.134999