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非Abel对偶超导理论中的涡旋管研究
引用本文:王晓云,邹丽平,魏智强,张鹏鸣.非Abel对偶超导理论中的涡旋管研究[J].原子核物理评论,2011,28(2):185-190.
作者姓名:王晓云  邹丽平  魏智强  张鹏鸣
作者单位:1 兰州理工大学理学院, 甘肃 兰州 730050; 2 中国科学院近代物理研究所, 甘肃 兰州 730000; 3 中国科学院研究生院, 北京 100049; 4 兰州理工大学甘肃省有色金属新材料国家重点实验室, 甘肃 兰州 730050
基金项目:中国科学院西部之光人才培养计划项目,国家教育部回国人员科研启动基金资助项目
摘    要:首次讨论了非Abel对偶超导理论中的涡旋管性质。 在Cho等工作的基础上进一步研究了非Abel情况下的动力学, 并推导出了哈密顿量和运动方程。 重点讨论了限制规范势对应的非Abel对偶超导理论性质, 并给出了D型及N型两类整数涡旋的具体数值解。 通过与传统的Abel对偶超导理论的对比分析,发现两者的运动方程形式及涡旋解基本一致, 这表明利用Abel对偶超导模型研究夸克色禁闭问题是合理的。 We have discussed vortices in the non Abelian dual superconductor theory. Based on the work of Cho et al., the Hamiltonian and the equations of motion of non Abelian model were discussed in details. The non Abelian dual superconductor theory related to the restricted guage potential was underlined and solutions of D type and N type integer vortices were obtained. Comparing with the traditional Abelian dual superconductor theory, we found that the the equations of motion and solutions of vortices in two models are almost same, which indicates it is reasonable to study quark confinement based on the Abelian dual superconductor theory.

关 键 词:对偶超导理论    非Abel规范场    涡旋
收稿时间:1900-01-01

Vortex in Non-Abelian Dual Superconductor Theory
WANG Xiao-yun,ZOU Li-ping,WEI Zhi-qiang,ZHANG Peng-ming.Vortex in Non-Abelian Dual Superconductor Theory[J].Nuclear Physics Review,2011,28(2):185-190.
Authors:WANG Xiao-yun  ZOU Li-ping  WEI Zhi-qiang  ZHANG Peng-ming
Institution:1 School of Science, Lanzhou University of Technology, Lanzhou 730050, China;2 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;3 Graduate University of Chinese Academy of Sciences, Beijing 100049, China;4 State Key Laboratory of Gansu Advanced Non ferrous Metal Materials, Lanzhou University of Technology, Lanzhou 730050, China
Abstract:We have discussed vortices in the non Abelian dual superconductor theory. Based on the work of Cho et al., the Hamiltonian and the equations of motion of non Abelian model were discussed in details. The non Abelian dual superconductor theory related to the restricted guage potential was underlined and solutions of D type and N type integer vortices were obtained. Comparing with the traditional Abelian dual superconductor theory, we found that the the equations of motion and solutions of vortices in two models are almost same, which indicates it is reasonable to study quark confinement based on the Abelian dual superconductor theory.
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