Knot solitons in the AFZ model  

作　　者：任继荣 墨淑凡 朱涛 

机构地区：[1]Institute of Theoretical Physics,Lanzhou University

出　　处：《Chinese Physics B》2009年第5期1814-1820,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No 10275030);the Cuiying Program of Lanzhou University,China(Grant No 22500-582404)

摘　　要：This paper studies the topological properties of knotted solitons in the （3 ＋1）-dimensional Aratyn-Ferreira- Zimerman （AFZ） model. Topologically, these solitons are characterized by the Hopf invariant I, which is an integral class in the homotopy group π3（S3） = Z. By making use of the decomposition of U（1） gauge potential theory and Duan＇s topological current theory, it is shown that the invariazat is just the total sum of all the self-linking and linking numbers of the knot family while only linking numbers are considered in other papers. Furthermore, it is pointed out that this invariant is preserved in the branch processes （splitting, merging and intersection） of these knot vortex lines.This paper studies the topological properties of knotted solitons in the （3 ＋1）-dimensional Aratyn-Ferreira- Zimerman （AFZ） model. Topologically, these solitons are characterized by the Hopf invariant I, which is an integral class in the homotopy group π3（S3） = Z. By making use of the decomposition of U（1） gauge potential theory and Duan＇s topological current theory, it is shown that the invariazat is just the total sum of all the self-linking and linking numbers of the knot family while only linking numbers are considered in other papers. Furthermore, it is pointed out that this invariant is preserved in the branch processes （splitting, merging and intersection） of these knot vortex lines.

关 键 词：knot theory SOLITONS TOPOLOGY AFZ model 

分 类 号：O412.3[理学—理论物理]