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Du, YJ; Zhang, Y2,3
Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordYang-mills Amplitudes Recursion-relations Tree Amplitudes
Abstract

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.

2018
ISSN1029-8479
Issue7Pages:177
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1007/JHEP07(2018)177
Indexed BySCIE
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22850
CollectionSCI期刊论文
Affiliation1.Wuhan Univ, Sch Phys & Technol, Ctr Theoret Phys, 299 Bayi Rd, Wuhan 430072, Hubei, Peoples R China
2.Wuhan Univ, Suzhou Inst, 377 Linquan St, Suzhou 215123, 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
Recommended Citation
GB/T 7714
Du, YJ,Zhang, Y. Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(7):177.
APA Du, YJ,&Zhang, Y.(2018).Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes.JOURNAL OF HIGH ENERGY PHYSICS(7),177.
MLA Du, YJ,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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