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

Muneto Nitta, Ryosuke Yoshii

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number7
JournalJournal of High Energy Physics
Volume2018
Issue number8
DOIs
Publication statusPublished - 2018 Aug 1

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confining
solitary waves
rings
intervals
energy

Keywords

  • 1/N Expansion
  • Field Theories in Lower Dimensions
  • Sigma Models
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Confining solitons in the Higgs phase of CPN −1 model : self-consistent exact solutions in large-N limit. / Nitta, Muneto; Yoshii, Ryosuke.

In: Journal of High Energy Physics, Vol. 2018, No. 8, 7, 01.08.2018.

Research output: Contribution to journalArticle

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