Confining solitons in the Higgs phase of ${\mathbb C}P^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit

Muneto Nitta; Ryosuke Yoshii

doi:10.1007/jhep08(2018)007

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arXiv · 1803.03009

Confining solitons in the Higgs phase of ${\mathbb C}P^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit

Muneto Nitta·Ryosuke Yoshii

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Abstract

The quantum ${\mathbb C}P^{N-1}$ 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 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 ${\mathbb C}P^{N-1}$ 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.

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Muneto Nitta, Ryosuke Yoshii. 2018-03-08. Confining solitons in the Higgs phase of ${\mathbb C}P^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit. https://doi.org/10.1007/jhep08(2018)007

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