Perturbative quantum gravity as a double copy of gauge theory.

  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},
  volume={105 6},
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… 

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