Berends-Giele currents for extended gravity

Abstract

In this short paper, we write down the Berends-Giele (BG) currents for extended gravity explicitly and discuss the unifying relations of these BG currents. This new tool, different from the double field theory current formally, may deepen our understanding of the current Kawai-Lewellen-Tye (KLT) relation.

arXiv commentpublished by prd

References in corpus (16)

• Gravity as the Square of Gauge Theory
• Unifying Relations for Scattering Amplitudes
• Expansion of Einstein-Yang-Mills Amplitude
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Perturbiner Methods for Effective Field Theories and the Double Copy
• Double Copy Relation for AdS
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Double Field Theory as the Double Copy of Yang-Mills
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• One-loop off-shell amplitudes from classical equations of motion
• Multiparticle solutions to Einstein's equations
• Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory
• A Type of Unifying Relation in (A)dS Spacetime
• Differential Operators and Unifying Relations for 1-loop Feynman Integrands from Berends-Giele Currents
• Perturbations of General Relativity to All Orders and the General $n^{\mathrm{th}}$ Order Terms

Cited by in corpus (4)

• One-loop $N$-point correlators in pure gravity
• Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
• The off-shell expansion relation of the Yang-Mills scalar theory
• The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables