Casimir force for the Model
Antonino Flachi (Department of Physics, Research and Education Center for Natural Sciences, Keio University, Kanagawa, Japan); Muneto Nitta (Department of Physics, Research and Education Center for Natural Sciences, Keio University, Kanagawa, Japan); Satoshi Takada (Institute of Engineering, Tokyo University of Agriculture and Technology, Koganei, Tokyo, Japan, Earthquake Research Institute, The University of Tokyo, Tokyo, Japan); Ryosuke Yoshii (Department of Physics, Chuo University, Tokyo, Japan, Research and Education Center for Natural Sciences, Keio University, Kanagawa, Japan)
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-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.
