Confining solitons in the Higgs phase of ℂ P ^{ N 1} model: selfconsistent exact solutions in large N limit
Abstract
The quantum ℂ P ^{ N 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 NambuGoldstone modes in a finite space such as a ring or finite interval smaller than a certain critical size. We find a new selfconsistent exact solution describing a soliton in the Higgs phase of the ℂ P ^{ N 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2018
 DOI:
 10.1007/JHEP08(2018)007
 arXiv:
 arXiv:1803.03009
 Bibcode:
 2018JHEP...08..007N
 Keywords:

 1/N Expansion;
 Field Theories in Lower Dimensions;
 Sigma Models;
 Solitons Monopoles and Instantons;
 High Energy Physics  Theory;
 Condensed Matter  Superconductivity
 EPrint:
 16 pages, 4 figures. v2: Published version