Gauge invariance induced relations and the equivalence between distinct approaches to NLSM 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 Einstein-Yang-Mills amplitudes. These relations are...
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doaj-71d18f0fa709422cab37a1465f6a106d2020-11-24T21:54:35ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018713810.1007/JHEP07(2018)177Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudesYi-Jian Du0Yong Zhang1Center for Theoretical Physics, School of Physics and Technology, Wuhan UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract 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 Einstein-Yang-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.http://link.springer.com/article/10.1007/JHEP07(2018)177Effective Field TheoriesScattering Amplitudes |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yi-Jian Du Yong Zhang |
spellingShingle |
Yi-Jian Du Yong Zhang Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes Journal of High Energy Physics Effective Field Theories Scattering Amplitudes |
author_facet |
Yi-Jian Du Yong Zhang |
author_sort |
Yi-Jian Du |
title |
Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes |
title_short |
Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes |
title_full |
Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes |
title_fullStr |
Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes |
title_full_unstemmed |
Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes |
title_sort |
gauge invariance induced relations and the equivalence between distinct approaches to nlsm amplitudes |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-07-01 |
description |
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 Einstein-Yang-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. |
topic |
Effective Field Theories Scattering Amplitudes |
url |
http://link.springer.com/article/10.1007/JHEP07(2018)177 |
work_keys_str_mv |
AT yijiandu gaugeinvarianceinducedrelationsandtheequivalencebetweendistinctapproachestonlsmamplitudes AT yongzhang gaugeinvarianceinducedrelationsandtheequivalencebetweendistinctapproachestonlsmamplitudes |
_version_ |
1725867056093462528 |