Casimir force for the CPN−1 model

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 vac...

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Bibliographic Details
Published inPhysics letters. B Vol. 798
Main Authors Flachi, Antonino, Nitta, Muneto, Takada, Satoshi, Yoshii, Ryosuke
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.11.2019
Elsevier
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2019.134999