Self-consistent large-N analytical solutions of inhomogeneous condensates in quantum ℂP N − 1 model

Muneto Nitta, Ryosuke Yoshii

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We give, for the first time, self-consistent large-N analytical solutions of inhomogeneous condensates in the quantum ℂPN − 1 model in the large-N limit. We find a map from a set of gap equations of the ℂPN − 1 model to those of the Gross-Neveu (GN) model (or the gap equation and the Bogoliubov-de Gennes equation), which enables us to find the self-consistent solutions. We find that the Higgs field of the ℂPN − 1 model is given as a zero mode of solutions of the GN model, and consequently only topologically non-trivial solutions of the GN model yield nontrivial solutions of the ℂPN − 1 model. A stable single soliton is constructed from an anti-kink of the GN model and has a broken (Higgs) phase inside its core, in which ℂPN − 1 modes are localized, with a symmetric (confining) phase outside. We further find a stable periodic soliton lattice constructed from a real kink crystal in the GN model, while the Ablowitz-Kaup-Newell-Segur hierarchy yields multiple solitons at arbitrary separations.

本文言語English
論文番号145
ジャーナルJournal of High Energy Physics
2017
12
DOI
出版ステータスPublished - 2017 12 1

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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