Topological Structure of Knotted Vortex Lines in Liquid Crystals  

作　　者：DUAN Yi-Shi ZHAO Li ZHANG Xin-Hui 

机构地区：[1]Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China

出　　处：《Communications in Theoretical Physics》2007年第6期1129-1134,共6页理论物理通讯（英文版）

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 10475034 and the Doctor Education Fund of the Educational Department of China.Acknowledgments It is a great pleasure to thank Dr. Y.X. Liu and Dr. Z.G. Huang for many useful discussions.

摘　　要：In this paper, a novel decomposition expression for the U（1） gauge field in liquid crystals （LCs） is derived. Using this decomposition expression and the b-mapping topological current theory, we investigate the topological structure of the vortex lines in LCs in detail. A topological invariant, i.e., the Chern-Simons （CS） action for the knotted vortex lines is presented, and the CS action is shown to be the total sum of all the self-linking and linking numbers of the knot family. Moreover, it is pointed out that the CS action is preserved in the branch processes of the knotted vortex lines.

关 键 词：knotted vortex lines liquid crystals Chern-Simons action branch processes 

分 类 号：O753.2[理学—晶体学]