图基BCJ关系的弦论导出  

A String Theory Approach to Graph-Based BCJ Relation

作　　者：柳景沛 杜一剑 LIU Jingpei;DU Yijian(School of Physics and Technology,Wuhan University,Wuhan 430072,Hubei,China)

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072

出　　处：《武汉大学学报（理学版）》2022年第3期245-251,共7页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金(11875206)。

摘　　要：量子场论的散射振幅可视为弦论散射振幅的近似,因此,量子场论的振幅关系可以从弦论中导出。对开弦树级散射振幅进行适当的组合,结合弦论中已有的Kleiss-Kuijf(KK)和Bern-Carrasco-Johansson(BCJ)关系,给出弦论中开弦树级散射振幅的图基关系。在场论近似下,这一关系进一步给出量子场论中的图基BCJ关系以及一个新的振幅关系——图基KK关系。具体例子的计算可以直接推广到一般情况。Scattering amplitudes in quantum field theory can be regarded as approximations of scattering amplitudes in string theory.Therefore amplitudes relations of quantum field theory can be derived from string theory.Based on a proper combination of tree-level open string amplitudes and the Kleiss-Kuijf(KK)and Bern-Carrasco-Johansson(BCJ)relations that were already founded,a graphbased relation for open string amplitudes is proposed.In the field theory limit,this relation provides the existing graph-based BCJ relation and a new amplitudes relation—graph-based KK relation.The caculation of specific examples can be directly extended to general cases.

关 键 词：量子场论 弦论 振幅关系 

分 类 号：O412.3[理学—理论物理]