Gravity and Yang-Mills Amplitude Relations

Abstract

Using only general features of the S-matrix and quantum field theory, we prove by induction the Kawai-Lewellen-Tye relations that link products of gauge theory amplitudes to gravity amplitudes at tree level. As a bonus of our analysis, we provide a novel and more symmetric form of these relations. We also establish an infinite tower of new identities between amplitudes in gauge theories.

4 pages, REVTeX, minor typos corrected and references added. Published version

References in corpus (7)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• Taming Tree Amplitudes In General Relativity
• The No-Triangle Hypothesis for N=8 Supergravity
• KLT relations from the Einstein-Hilbert Lagrangian
• New Relations for Gauge-Theory Amplitudes with Matter
• Gravitino Interactions from Yang-Mills Theory

Cited by in corpus (63)

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• On-shell Techniques and Universal Results in Quantum Gravity
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• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Amplitude Relations in Non-linear Sigma Model
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• New Relations for Gauge-Theory and Gravity Amplitudes at Loop Level
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• Integration Rules for Loop Scattering Equations
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• Scattering Equations and String Theory Amplitudes
• Expansion of All Multitrace Tree Level EYM Amplitudes
• On the Double Copy for Spinning Matter
• Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Conformal and Einstein gravity from twistor actions
• Gauge and Gravity Amplitude Relations
• Computation of Contour Integrals on ${\mathcal{M}}_{0,n}$
• Unraveling conformal gravity amplitudes
• Tree-level amplitudes from the pure spinor superstring
• An Algebraic Approach to the Scattering Equations
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• UV considerations on scattering amplitudes in a web of theories
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Analytic Representations of Yang-Mills Amplitudes
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• One-loop monodromy relations on single cuts
• Graviton and gluon scattering from first principles
• Soft theorems in maximally supersymmetric theories
• Note on New KLT relations
• Expansion of Einstein-Yang-Mills theory by Differential Operators
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• A Lie bracket for the momentum kernel
• Kinematic Numerators and a Double-Copy Formula for N = 4 Super-Yang-Mills Residues
• Double copies of fermions as only gravitational interacting matter
• One-Loop Yang-Mills Integrands from Scattering Equations
• Effective observables for electromagnetic duality from novel amplitude decomposition
• On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes
• On Positive Geometry and Scattering Forms for Matter Particles
• Factorization of cubic vertices involving three different higher spin fields
• A String Deformation of the Parke-Taylor Factor
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations
• Visions in Quantum Gravity
• Note on Identities Inspired by New Soft Theorems
• Entanglement and the Double Copy
• BCJ, worldsheet quantum algebra and KZ equations
• Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory
• KLT Factorization of Winding String Amplitudes
• Expansion of EYM Amplitudes in Gauge Invariant Vector Space
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
• KK-like relations of ${\alpha }^{\prime }$ corrections to disk amplitudes
• Perturbative Gravity and Gauge Theory Relations -- A Review
• Fermions and the scattering equations
• Building Momentum Kernel from Shapovalov Form
• Twisted de Rham theory for string double copy in AdS
• Relations and representations of QCD amplitudes