Kink scattering in a generalized Wess-Zumino model

被引:13
作者
Alonso-Izquierdo, A. [1 ,3 ]
Gonzalez Leon, M. A. [1 ,3 ]
Martin Vaquero, J. [1 ,3 ]
de la Torre Mayado, M. [2 ,3 ]
机构
[1] Univ Salamanca, Dept Matemat Aplicada, Salamanca, Spain
[2] Univ Salamanca, Dept Fis Fundamental, Salamanca, Spain
[3] Univ Salamanca, IUFFyM, Salamanca, Spain
来源
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 103卷
关键词
Non-linear Klein-Gordon equation; Kink scattering; Two-coupled scalar field theory models; ANTIKINK INTERACTIONS; DOMAIN-WALLS; GORDON; RADIATION; NETWORKS; EQUATION;
D O I
10.1016/j.cnsns.2021.106011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, kink scattering in the dimensional reduction of the bosonic sector of a one-parameter family of generalized Wess-Zumino models with three vacuum points is dis-cussed. The value of the model parameter determines the specific location of the vacua. The influence of the vacuum arrangements (evolving from three collinear vacua to three vacua placed at the vertices of an equilateral triangle) on the kink scattering is inves-tigated. Two different regimes can be distinguished: in the first one, two symmetric BPS kinks/antikinks arise whereas in the second one a new different BPS kink/antikink emerges, with the exception of a three-fold rotational symmetry case, where the three topological defects are identical. The scattering between the two symmetric kinks is thor-oughly analyzed. Two different scattering channels have been found: kink-kink reflection and kink-kink hybridization. In the last case, the collision between the two symmetric kinks gives rise to the third different kink. Resonance phenomena also appear allowing a vibrat-ing kink to split into two symmetric kinks moving away. (c) 2021 Elsevier B.V. All rights reserved.
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页数:16
相关论文
共 76 条
[21]   Bags, junctions, and networks of BPS and non-BPS defects [J].
Bazeia, D ;
Brito, FA .
PHYSICAL REVIEW D, 2000, 61 (10)
[22]  
Bazeia D, 2018, EUR PHYS J C, V78, DOI 10.1140/epjc/s10052-018-5815-z
[23]   Scattering of the φ8 kinks with power-law asymptotics [J].
Belendryasova, Ekaterina ;
Gani, Vakhid A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 67 :414-426
[24]   Domain wall junctions in a generalized Wess-Zumino model [J].
Binosi, D ;
ter Veldhuis, T .
PHYSICS LETTERS B, 2000, 476 (1-2) :124-133
[25]   RESONANCE STRUCTURE IN KINK ANTIKINK INTERACTIONS IN PHI-4 THEORY [J].
CAMPBELL, DK ;
SCHONFELD, JF ;
WINGATE, CA .
PHYSICA D-NONLINEAR PHENOMENA, 1983, 9 (1-2) :1-32
[26]   KINK-ANTIKINK INTERACTIONS IN THE DOUBLE SINE-GORDON EQUATION [J].
CAMPBELL, DK ;
PEYRARD, M ;
SODANO, P .
PHYSICA D, 1986, 19 (02) :165-205
[27]   Quasinormal modes in kink excitations and kink-antikink interactions: a toy model [J].
Campos, Joao G. F. ;
Mohammadi, Azadeh .
EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (05)
[28]   Domain wall junctions are 1/4 BPS states [J].
Carroll, SM ;
Hellerman, S ;
Trodden, M .
PHYSICAL REVIEW D, 2000, 61 (06)
[29]   ON CLASSIFICATION OF N = 2 SUPERSYMMETRIC THEORIES [J].
CECOTTI, S ;
VAFA, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 158 (03) :569-644
[30]   BPS-saturated walls in supersymmetric theories [J].
Chibisov, B ;
Shifman, M .
PHYSICAL REVIEW D, 1997, 56 (12) :7990-8013