Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes
Zhang, Y1,3; Du, YJ
刊名JOURNAL OF HIGH ENERGY PHYSICS
2018
期号7页码:177
关键词YANG-MILLS AMPLITUDES RECURSION-RELATIONS TREE AMPLITUDES
ISSN号1029-8479
DOI10.1007/JHEP07(2018)177
英文摘要In this paper, we derive generalized Bern-Carrasco-Johansson (BCJ) relations for color-ordered Yang-Mills amplitudes by imposing gauge invariance conditions and dimensional reduction appropriately on the new discovered graphic expansion of EinsteinYang-Mills amplitudes. These relations are also satisfied by color-ordered amplitudes in other theories such as bi-scalar theory and nonlinear sigma model (NLSM). As an application of the gauge invariance induced relations, we further prove that the three types of BCJ numerators in NLSM, which are derived from Feynman rules, Abelian Z-theory and Cachazo-He-Yuan (CHY) formula respectively, produce the same total amplitudes. In other words, the three distinct approaches to NLSM amplitudes are equivalent to each other.
学科主题Physics
语种英语
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/22850]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Wuhan Univ, Suzhou Inst, 377 Linquan St, Suzhou 215123, Peoples R China
2.Wuhan Univ, Sch Phys & Technol, Ctr Theoret Phys, 299 Bayi Rd, Wuhan 430072, Hubei, Peoples R China
3.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, 55 Zhong Guan Cun East St, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
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Zhang, Y,Du, YJ. Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(7):177.
APA Zhang, Y,&Du, YJ.(2018).Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes.JOURNAL OF HIGH ENERGY PHYSICS(7),177.
MLA Zhang, Y,et al."Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes".JOURNAL OF HIGH ENERGY PHYSICS .7(2018):177.
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