Toroidal soliton solutions in O(3)N nonlinear sigma model

被引:5
|
作者
Wereszczynski, A [1 ]
机构
[1] Jagiellonian Univ, Inst Phys, Krakow, Poland
关键词
Hopf solitons;
D O I
10.1142/S0217732304015737
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A set of N three-component unit scalar fields in (3 + 1) Minkowski spacetime is investigated. The highly nonlinear coupling between them is chosen to omit the scaling instabilities. The multi-soliton static configurations with arbitrary Hopf numbers are found. Moreover, the generalized version of the Vakulenko-Kapitansky inequality is obtained. The possibility of attractive as well as repulsive interaction between hopfions is shown. A noninteracting limit is also discussed.
引用
收藏
页码:2569 / 2578
页数:10
相关论文
共 50 条
  • [1] Quantization of the O(N) nonlinear sigma model
    Muslih, SI
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 37 (05) : 567 - 570
  • [2] Heating the O(N) nonlinear sigma model
    Warringa, HJ
    ACTA PHYSICA POLONICA B, 2003, 34 (12): : 5857 - 5865
  • [3] On soliton solutions of nonlinear sigma models of symmetric spaces
    Karasu, A
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (27): : 4409 - 4427
  • [4] Stability problem in the O(N) nonlinear sigma model
    Derkachov, SE
    Manashov, AN
    PHYSICAL REVIEW LETTERS, 1997, 79 (08) : 1423 - 1427
  • [5] SO(3) gauged soliton of an O(4) sigma model on R(3)
    Arthur, K
    Tchrakian, DH
    PHYSICS LETTERS B, 1996, 378 (1-4) : 187 - 193
  • [6] Gradient flow of O(N) nonlinear sigma model at large N
    Sinya Aoki
    Kengo Kikuchi
    Tetsuya Onogi
    Journal of High Energy Physics, 2015
  • [7] Gradient flow of O(N) nonlinear sigma model at large N
    Aoki, Sinya
    Kikuchi, Kengo
    Onogi, Tetsuya
    JOURNAL OF HIGH ENERGY PHYSICS, 2015, (04):
  • [8] Quantum simulator for the O(3) nonlinear sigma model
    Schützhold, R
    Mostame, S
    JETP LETTERS, 2005, 82 (05) : 248 - 252
  • [9] Topological objects in the O(3) nonlinear sigma model
    Zhang, Peng-Ming
    Lee, Xi-Guo
    Wu, Shao-Feng
    Duan, Yi-Shi
    MODERN PHYSICS LETTERS A, 2007, 22 (31) : 2379 - 2386
  • [10] Supersymmetric nonlinear O(3) sigma model on the lattice
    Flore, Raphael
    Koerner, Daniel
    Wipf, Andreas
    Wozar, Christian
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (11):