BPS sphalerons in the F2 nonlinear sigma model

被引：8

作者：

Amari, Yuki ^{[1
,2
]}

Sawado, Nobuyuki ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Phys, Noda, Chiba 2788510, Japan

[2] Univ Sao Paulo, IFSC, Caixa Postal 369, BR-13560970 Sao Paulo, Brazil

来源：

PHYSICAL REVIEW D | 2018年 / 97卷 / 06期

关键词：

INTEGRABLE THEORIES; CLASSICAL-SOLUTIONS;

D O I：

10.1103/PhysRevD.97.065012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We construct static and also time-dependent solutions in a nonlinear sigma model with target space being the flag manifold F-2 = SU(3)/U(1)(2) on the four-dimensional Minkowski spacetime by analytically solving the second-order Euler-Lagrange equation. We show that the static solutions saturate an energy lower bound and can be derived from coupled first-order equations though they are saddle-point solutions. We also discuss basic properties of the time-dependent solutions.

引用

页数：12

共 35 条

[1] THE QUANTUM HALL-EFFECTS, ORTHO-MODELS AT THETA=PI AND QUANTUM SPIN CHAINS [J].

AFFLECK, I .

NUCLEAR PHYSICS B, 1985, 257 (03) :397-406

[2] A new approach to integrable theories in any dimension [J].

Alvarez, O ;

Ferreira, LA ;

Guillen, JS .

NUCLEAR PHYSICS B, 1998, 529 (03) :689-736

[3]

Belavin A. A., 1975, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, Pis'ma v Redaktsiyu, V22, P503

[4] Topological excitations in a two-dimensional spin system with high spin s≥1 [J].

Bernatska, J. N. ;

Holod, P. I. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (01) :878-886

[5] Clustering and decomposition for non-BPS solutions of the CPN-1 models [J].

Bolognesi, S. ;

Zakrzewski, W. .

PHYSICAL REVIEW D, 2014, 89 (06)

[6] Complex structures and zero-curvature equations for σ-models [J].

Bykov, Dmitri .

PHYSICS LETTERS B, 2016, 760 :341-344

[7] Classical solutions of a flag manifold σ-model [J].

Bykov, Dmitri .

NUCLEAR PHYSICS B, 2016, 902 :292-301

[8] Integrable properties of σ-models with non-symmetric target spaces [J].

Bykov, Dmitri .

NUCLEAR PHYSICS B, 2015, 894 :254-267

[9] Haldane limits via Lagrangian embeddings [J].

Bykov, Dmitri .

NUCLEAR PHYSICS B, 2012, 855 (01) :100-127

[10] The worldsheet low-energy limit of the AdS4 x CP3 superstring [J].

Bykov, Dmitri .

NUCLEAR PHYSICS B, 2010, 838 (1-2) :47-74

← 1 2 3 4 →