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

被引：18

作者：

Nitta, Muneto ^{[1
,2
]}

Yoshii, Ryosuke ^{[2
]}

机构：

[1] Keio Univ, Dept Phys, 4-1-1 Hiyoshi, Yokohama, Kanagawa 2238521, Japan

[2] Keio Univ, Res & Educ Ctr Nat Sci, 4-1-1 Hiyoshi, Yokohama, Kanagawa 2238521, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 12期

基金：

日本学术振兴会;

关键词：

1/N Expansion; Field Theories in Lower Dimensions; Sigma Models; SEMICLASSICAL BOUND-STATES; NONLINEAR SIGMA-MODEL; NON-ABELIAN VORTICES; GROSS-NEVEU; DYNAMICAL MODEL; HIGGS PHASE; SOLITONS; PARTICLES; SUPERCONDUCTIVITY; DIMENSIONS;

D O I：

10.1007/JHEP12(2017)145

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 nontrivial 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 (con fi ning) 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.

引用

页数：17