| 关于规范场顶角计算的置换群陪集简化方法 |
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| 引用本文： | 贾多杰,艾德臻.关于规范场顶角计算的置换群陪集简化方法[J].西北师范大学学报,2006,42(2):45-49. |
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| 作者姓名： | 贾多杰 艾德臻 |
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| 作者单位： | 西北师范大学物理与电子工程学院 甘肃兰州730070 |
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| 基金项目： | 西北师范大学校科研和教改项目 |
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| 摘 要： | 利用置换群陪集简化方法,导出了SU(2)规范场三点和四点树图顶角的Feynman规则.这种化简规范场顶角图的计算过程通过先求场的给定分量指标顺序的导数,然后用置换群反复作用到该导数上再相加来实现.计算方法简单,反映了SU(2)规范场的作用量与Feynman规则之间的关系.从原则上可以推广到更高阶树图顶角的计算中.
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| 关 键 词： | 规范场 顶角 置换群 |
| 文章编号： | 1001-988X（2006）02-0045-05 |
| 收稿时间： | 2005-09-29 |
| 修稿时间： | 2005-11-17 |
The permutation group coset method in calculations of gauge field vertices |
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| JIA Duo-jie,AI De-zhen.The permutation group coset method in calculations of gauge field vertices[J].Journal of Northwest Normal University Natural Science (Bimonthly),2006,42(2):45-49. |
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| Authors: | JIA Duo-jie AI De-zhen |
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| Affiliation: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The permutation group coset method is used to derive the Feynman rules of trilinear vertex and quartic vertex of SU(2) gauge theory.Such a calculation procedure for simplifying gauge-field vertices is done by computing a derivative of field with a specific order and summing up all the derivative terms acted by permutation group,and it is then able to show the relation between the actions of gauge fields and its Feynman rules in a simple and clear manner.Furthermore,it can,in principle,be generalized to the derivations of higher ordered tree-like vertices of gauge fields. |
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| Keywords: | gauge field vertices permutation group |
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