The Structure of Multiloop Amplitudes in Gauge and Gravity Theories
arXiv:1007.4297 · doi:10.1016/j.nuclphysbps.2010.08.019
Abstract
We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones. We summarize nontrivial evidence that the duality and double-copy property holds to all loop orders. We also comment on other developments, including a proof that the gauge-theory duality leads to the gravity double-copy property, and the identification of gauge-theory Lagrangians whose double copies yield gravity Lagrangians.
arXiv commentTo appear in Proceedings of Loops and Legs in Quantum Field Theory, Woerlitz, Germany, April 25-30, 2010; 4 figures
References in corpus (26)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- New Relations for Gauge-Theory Amplitudes
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- Superspace Duality in Low-Energy Superstrings
- One-Loop Amplitudes for e^+ e^- to Four Partons
- On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
- Minimal Basis for Gauge Theory Amplitudes
- The Ultraviolet Behavior of N=8 Supergravity at Four Loops
- Three-Loop Superfiniteness of N=8 Supergravity
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- Two-Loop g -> gg Splitting Amplitudes in QCD
- Perturbative Quantum Gravity and its Relation to Gauge Theory
- Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
- Two-loop QCD corrections to gluon-gluon scattering
- Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
- Is N = 8 Supergravity Ultraviolet Finite?
- A Two-Loop Four-Gluon Helicity Amplitude in QCD
- Ultraviolet properties of Maximal Supergravity
- On the Coupling of Gravitons to Matter
- Unexpected Cancellations in Gravity Theories
- Perturbative Gravity from QCD Amplitudes
- How Far Are We from the Quantum Theory of Gravity?
- Simplifying the Tree-level Superstring Massless Five-point Amplitude
- A note on the UV behaviour of maximally supersymmetric Yang-Mills theories
- Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory
Cited by in corpus (9)
- Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
- Motivic Multiple Zeta Values and Superstring Amplitudes
- On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
- Manifesting Color-Kinematics Duality in the Scattering Equation Formalism
- Amplitudes and Ultraviolet Behavior of N=8 Supergravity
- Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
- Observations on Open and Closed String Scattering Amplitudes at High Energies
- One-loop diagrams with quadratic propagators from the worldsheet
- From lightcone actions to maximally supersymmetric amplitudes