Perturbative Quantum Gravity as a Double Copy of Gauge Theory

Journal Article · Fri Aug 06 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.061602· OSTI ID:21470928

Bern, Zvi; Carrasco, John Joseph M ^[1]; Johansson, Henrik ^[2]

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1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)
2. Institut de Physique Theorique, CEA-Saclay, F-91191 Gif-sur-Yvette cedex (France)

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.

• OSTI ID: 21470928
• Journal Information: Physical Review Letters, Vol. 105, Issue 6; Other Information: DOI: 10.1103/PhysRevLett.105.061602; (c) 2010 The American Physical Society; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COLOR MODEL
DUALITY
FEYNMAN DIAGRAM
GAUGE INVARIANCE
GRAVITATION
QUANTUM GRAVITY
SUPERGRAVITY
TENSORS
YANG-MILLS THEORY
COMPOSITE MODELS
DIAGRAMS
FIELD THEORIES
INFORMATION
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
UNIFIED-FIELD THEORIES