Perturbative Quantum Gravity as a Double Copy of Gauge Theory
Abstract
In a previous paper we observed that (classical) treelevel gaugetheory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gaugetheory 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 gaugetheory ones. As a nontrivial test, we show that the threeloop fourpoint amplitude of N=4 superYangMills 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 twoloop test based on pure YangMills theory resulting in gravity coupled to an antisymmetric tensor and dilaton.
 Publication:

Physical Review Letters
 Pub Date:
 August 2010
 DOI:
 10.1103/PhysRevLett.105.061602
 arXiv:
 arXiv:1004.0476
 Bibcode:
 2010PhRvL.105f1602B
 Keywords:

 11.15.Bt;
 04.65.+e;
 11.25.Db;
 12.60.Jv;
 General properties of perturbation theory;
 Supergravity;
 Properties of perturbation theory;
 Supersymmetric models;
 High Energy Physics  Theory
 EPrint:
 5 pages, 2 figures