### 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 |
---|---|

Article number | 134999 |

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

Volume | 798 |

DOIs | |

Publication status | Published - 2019 Nov 10 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

^{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

**Casimir force for the CP ^{N−1} model.** / Flachi, Antonino; Nitta, Muneto; Takada, Satoshi; Yoshii, Ryosuke.

Research output: Contribution to journal › Article

^{N−1}model',

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 798, 134999. https://doi.org/10.1016/j.physletb.2019.134999

^{N−1}model. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2019 Nov 10;798. 134999. https://doi.org/10.1016/j.physletb.2019.134999

}

TY - JOUR

T1 - Casimir force for the CPN−1 model

AU - Flachi, Antonino

AU - Nitta, Muneto

AU - Takada, Satoshi

AU - Yoshii, Ryosuke

PY - 2019/11/10

Y1 - 2019/11/10

N2 - In this work, we derive exact self-consistent solutions to the gap equations of the CPN−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.

AB - In this work, we derive exact self-consistent solutions to the gap equations of the CPN−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.

UR - http://www.scopus.com/inward/record.url?scp=85073036997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85073036997&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2019.134999

DO - 10.1016/j.physletb.2019.134999

M3 - Article

AN - SCOPUS:85073036997

VL - 798

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

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

SN - 0370-2693

M1 - 134999

ER -