Confining solitons in the Higgs phase of ℂPN −1 model: self-consistent exact solutions in large-N limit

@article{Nitta2018ConfiningSI,
  title={Confining solitons in the Higgs phase of ℂPN −1 model: self-consistent exact solutions in large-N limit},
  author={Muneto Nitta and Ryosuke Yoshii},
  journal={Journal of High Energy Physics},
  year={2018},
  volume={2018},
  pages={1-16}
}
A bstractThe quantum ℂPN −1 model is in the confining (or unbroken) phase with a full mass gap in an infinite space, while it is in the Higgs (broken or deconfinement) phase accompanied with Nambu-Goldstone modes in a finite space such as a ring or finite interval smaller than a certain critical size. We find a new self-consistent exact solution describing a soliton in the Higgs phase of the ℂPN −1 model in the large-N limit on a ring. We call it a confining soliton. We show that all eigenmodes… 
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