Relationship Between Gravity and Gauge Scattering in the High Energy Limit

Abstract

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation between the amplitudes of the two theories to all loop orders when, on the gauge theory side, we retain only the set of diagrams at each loop order for which the collinear divergences cancel amongst themselves. For this to happen the color structure of all diagrams in the set must be identical. Using standard field theoretic methods, it is shown that this relation is reflected in a similar double copy relationship between the classical shockwaves of the two theories as well.

20 pages, 8 figures, reference added, some minor clarifications added to the text

References in corpus (4)

• New Relations for Gauge-Theory Amplitudes
• BCJ duality and the double copy in the soft limit
• Gravitational effects in ultrahigh-energy string scattering
• Soft-collinear gravity

Cited by in corpus (79)

• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Black holes and the double copy
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Classical Space-Times from the S Matrix
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• The classical double copy for Taub-NUT spacetime
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Classical and quantum scattering in post-Minkowskian gravity
• Perturbative spacetimes from Yang-Mills theory
• The double copy: Bremsstrahlung and accelerating black holes
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
• The Kerr-Schild double copy in curved spacetime
• Colour-Kinematics Duality for One-Loop Rational Amplitudes
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• Type D Spacetimes and the Weyl Double Copy
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• BCJ duality and the double copy in the soft limit
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Exact solutions for the biadjoint scalar field
• High Energy Scattering in Perturbative Quantum Gravity at Next to Leading Power
• Next-to-soft corrections to high energy scattering in QCD and gravity
• The Weyl Double Copy for Gravitational Waves
• S-duality and the Double Copy
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality
• Classical Solutions and their Double Copy in Split Signature
• Topology and Wilson lines: global aspects of the double copy
• Wilson line approach to gravity in the high energy limit
• The Classical Double Copy of a Point Charge
• An algebraic approach to BCJ numerators
• Double-Copy Constructions and Unitarity Cuts
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Weyl doubling
• Massive Spin-2 Scattering and Asymptotic Superluminality
• Gauge and Gravity Amplitude Relations
• Monopoles, shockwaves and the classical double copy
• Biadjoint wires
• Unraveling conformal gravity amplitudes
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
• Celestial holography on Kerr-Schild backgrounds
• Massive Gravity from Double Copy
• Asymptotic Weyl Double Copy
• Loop-Level Double-Copy for Massive Quantum Particles
• Conformal Gravity from Gauge Theory
• Radiation of scalar modes and the classical double copy
• Off-shell Currents and Color-Kinematics Duality
• Shift symmetries, soft limits, and the double copy beyond leading order
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• More on the Classical Double Copy in Three Spacetime Dimensions
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
• Large Gauge Effects and the Structure of Amplitudes
• Extracting Einstein from the Loop-Level Double-Copy
• The double copy: gravity from gluons
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Note on symmetric BCJ numerator
• Explicit BCJ numerators of nonlinear sigma model
• Quantization Conditions and the Double Copy
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Aspects of High Energy Scattering
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• BCJ, worldsheet quantum algebra and KZ equations
• Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
• Machine Learning Post-Minkowskian Integrals
• Off-shell BCJ Relation in Nonlinear Sigma Model
• Note on off-shell relations in nonlinear sigma model
• Classical gravitational scattering from a gauge-invariant double copy
• The Weyl double copy from twistor space
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Exploring gravitational impulse via quantum Boltzmann equation
• Cotton Double Copy for Gravitational Waves
• NS-NS Spacetimes from Amplitudes
• Scalar Gravity and the Double Copy in the Framework of General Relativity
• On-Shell Perspectives on the Massless Limit of Massive Supergravity