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An algebraic approach to BCJ numerators

  • Chih-Hao Fu
  • Yi-Jian Du
  • Bo Feng
Article

Abstract

One important discovery in recent years is that the total amplitude of gauge theory can be written as BCJ form where kinematic numerators satisfy Jacobi identity. Although the existence of such kinematic numerators is no doubt, the simple and explicit construction is still an important problem. As a small step, in this note we provide an algebraic approach to construct these kinematic numerators. Under our Feynman-diagram-like construction, the Jacobi identity is manifestly satisfied. The corresponding color ordered amplitudes satisfy off-shell KK-relation and off-shell BCJ relation similar to the color ordered scalar theory. Using our construction, the dual DDM form is also established.

Keywords

Scattering Amplitudes Gauge Symmetry 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Center of Mathematical ScienceZhejiang UniversityHangzhouP.R China
  2. 2.Department of ElectrophysicsNational Chiao Tung UniversityHsinchuR.O.C.
  3. 3.Department of Physics and Center for Field Theory and Particle PhysicsFudan UniversityShanghaiP.R China
  4. 4.Zhejiang Institute of Modern PhysicsZhejiang UniversityHangzhouP.R China

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