Expansion of Einstein-Yang-Mills amplitude

A bstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EY...

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Published in:The journal of high energy physics Vol. 2017; no. 9; pp. 1 - 51
Main Authors: Fu, Chih-Hao, Du, Yi-Jian, Huang, Rijun, Feng, Bo
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2017
Springer Nature B.V
SpringerOpen
Subjects:
Amplitudes
Classical and Quantum Gravitation
Color
Elementary Particles
Gauge invariance
Gauge Symmetry
Gravitons
High energy physics
Mills
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Thermal expansion
Gauge Symmetry
Scattering Amplitudes
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Abstract A bstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EYM amplitude with arbitrary number of gravitons into EYM amplitudes with fewer gravitons. Based on this recursive technique we write down the complete expansion of any single trace EYM amplitude in the basis of color-order Yang-Mills amplitude. As a byproduct, an algorithm for constructing a polynomial form of the BCJ numerator for Yang-Mills amplitudes is also outlined in this paper. In addition, by applying BCFW recursion relation we show how to arrive at the same EYM amplitude expansion from the on-shell perspective. And we examine the EYM expansion using KLT relations and show how to evaluate the expansion coefficients efficiently.
AbstractList A bstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EYM amplitude with arbitrary number of gravitons into EYM amplitudes with fewer gravitons. Based on this recursive technique we write down the complete expansion of any single trace EYM amplitude in the basis of color-order Yang-Mills amplitude. As a byproduct, an algorithm for constructing a polynomial form of the BCJ numerator for Yang-Mills amplitudes is also outlined in this paper. In addition, by applying BCFW recursion relation we show how to arrive at the same EYM amplitude expansion from the on-shell perspective. And we examine the EYM expansion using KLT relations and show how to evaluate the expansion coefficients efficiently.
Abstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EYM amplitude with arbitrary number of gravitons into EYM amplitudes with fewer gravitons. Based on this recursive technique we write down the complete expansion of any single trace EYM amplitude in the basis of color-order Yang-Mills amplitude. As a byproduct, an algorithm for constructing a polynomial form of the BCJ numerator for Yang-Mills amplitudes is also outlined in this paper. In addition, by applying BCFW recursion relation we show how to arrive at the same EYM amplitude expansion from the on-shell perspective. And we examine the EYM expansion using KLT relations and show how to evaluate the expansion coefficients efficiently.
In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EYM amplitude with arbitrary number of gravitons into EYM amplitudes with fewer gravitons. Based on this recursive technique we write down the complete expansion of any single trace EYM amplitude in the basis of color-order Yang-Mills amplitude. As a byproduct, an algorithm for constructing a polynomial form of the BCJ numerator for Yang-Mills amplitudes is also outlined in this paper. In addition, by applying BCFW recursion relation we show how to arrive at the same EYM amplitude expansion from the on-shell perspective. And we examine the EYM expansion using KLT relations and show how to evaluate the expansion coefficients efficiently.
ArticleNumber 21
Author Fu, Chih-Hao
Du, Yi-Jian
Huang, Rijun
Feng, Bo
Author_xml – sequence: 1
  givenname: Chih-Hao
  surname: Fu
  fullname: Fu, Chih-Hao
  organization: School of Physics and Information Technology, Shaanxi Normal University
– sequence: 2
  givenname: Yi-Jian
  surname: Du
  fullname: Du, Yi-Jian
  email: yijian.du@whu.edu.cn
  organization: Center for Theoretical Physics, School of Physics and Technology, Wuhan University
– sequence: 3
  givenname: Rijun
  surname: Huang
  fullname: Huang, Rijun
  organization: Department of Physics and Institute of Theoretical Physics, Nanjing Normal University
– sequence: 4
  givenname: Bo
  surname: Feng
  fullname: Feng, Bo
  organization: Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Center of Mathematical Science, Zhejiang University
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Snippet A bstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of...
In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of...
Abstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of...
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SubjectTerms Amplitudes
Classical and Quantum Gravitation
Color
Elementary Particles
Gauge invariance
Gauge Symmetry
Gravitons
High energy physics
Mills
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Thermal expansion
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Title Expansion of Einstein-Yang-Mills amplitude
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