The 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 have real and positive energy and thus it is stable.
- 1/N Expansion
- Field Theories in Lower Dimensions
- Sigma Models
- Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Nuclear and High Energy Physics