• DOI:10.1103/PhysRevLett.105.061602
• Corpus ID: 35590493

Perturbative quantum gravity as a double copy of gauge theory.

@article{Bern2010PerturbativeQG,
  title={Perturbative quantum gravity as a double copy of gauge theory.},
  author={Zvi Bern and John Joseph M. Carrasco and Henrik Johansson},
  journal={Physical review letters},
  year={2010},
  volume={105 6},
  pages={
          061602
        }
}

• Z. Bern, J. Carrasco, H. Johansson
• Published 4 April 2010
• Physics
• Physical review letters

In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory diagram numerators. Here we conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones. As a nontrivial test, we show that the three-loop four-point amplitude of N=4 super-Yang-Mills theory can be arranged into a form satisfying the duality, and by taking double copies of the diagram numerators we obtain the corresponding amplitude of N=8 supergravity. We also remark on a nonsupersymmetric two-loop test based on pure Yang-Mills theory resulting in gravity coupled to an antisymmetric tensor and dilaton.