First NR-PM comparison for generic-spin black hole scattering reveals strong-field precessional turning-point structure with polar-angle sign change absent from perturbative PM.
hub Canonical reference
Perturbative Quantum Gravity as a Double Copy of Gauge Theory
Canonical reference. 100% of citing Pith papers cite this work as background.
33
Pith papers citing it
Background
100% of classified citations
abstract
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 non-supersymmetric two-loop test based on pure Yang-Mills theory resulting in gravity coupled to an anti-symmetric tensor and dilaton.
hub tools
citation-role summary
background 8
citation-polarity summary
roles
background 8polarities
background 8representative citing papers
Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.
A dyeing procedure maps form factors to colored amplitudes, recovering the originals by bleaching and explaining double-copy features through standard BCJ relations.
Establishes the Topological Graviton Equivalence Theorem to prove large energy cancellations in N-point massive graviton amplitudes and constructs three- and four-point amplitudes via double copy from topologically massive Yang-Mills.
A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.
Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factorization into tree-level operators under unitarity cuts.
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solutions like Bardeen.
A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and the single-copy gauge field.
Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse operators at finite alpha'.
A Möbius-inversion formula on the refinement poset reconstructs planar L-loop n-point integrands as sums over non-scaleless scalar graphs dressed by D-dimensional cuts, demonstrated for Yang-Mills theory.
Biadjoint scalar theory admits a family of non-topological solitons carrying U(1) charge, time-dependent like Q-balls, stable in truncation, with finite localized energy.
A dyeing procedure generalizes the double copy to form factors with multiple operator insertions by mapping spurious poles to physical propagators and revealing a new scalar-ordering structure in gravity.
Structural properties of (E)AdS cosmological correlators—cutting rules, tree theorems, BCFW recursion, and soft limits—are obtained by dressing flat-space amplitudes with auxiliary propagators.
A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.
Establishes edge contraction rules for recursive diagrammatic computation of Murua coefficients in the quantum Magnusian without direct Magnus series manipulation.
The Smarr formula is structurally identical to the single-copy Gauss's law for Kerr-Schild black holes, with the AdS pressure-volume term arising from gauge background subtraction.
N-body modeling indicates Gaia BH3 formed as an exchange binary via dynamical interactions in the ED-2 progenitor cluster.
The Kerr-Schild and twistorial double copies are equivalent for self-dual vacuum Kerr-Schild spacetimes.
Bogoliubov coefficients from scattering a scalar in a collapsing EM background (single copy of Vaidya) match ray-tracing results and connect to Hawking radiation through the double copy.
Hidden zeros extend to higher-derivative tree-level gluon and graviton amplitudes, with systematic cancellation of propagator singularities shown via bi-adjoint scalar expansions.
A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.
New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.
A new Mathematica package computes tree amplitudes with arbitrary gauge bosons and arbitrarily charged massless fermions by reducing distinct-flavor partial amplitudes to linear combinations of single-flavor supersymmetric Yang-Mills components.
citing papers explorer
-
Binary black hole scattering with generic spins
First NR-PM comparison for generic-spin black hole scattering reveals strong-field precessional turning-point structure with polar-angle sign change absent from perturbative PM.
-
Twisted de Rham theory for string double copy in AdS
Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.
-
Dyeing form factors as amplitudes
A dyeing procedure maps form factors to colored amplitudes, recovering the originals by bleaching and explaining double-copy features through standard BCJ relations.
-
Structure of Chern-Simons Graviton Scattering Amplitudes from Topological Graviton Equivalence Theorem and Double Copy
Establishes the Topological Graviton Equivalence Theorem to prove large energy cancellations in N-point massive graviton amplitudes and constructs three- and four-point amplitudes via double copy from topologically massive Yang-Mills.
-
$D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions
A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.
-
On differential operators and unifying relations for $1$-loop Feynman integrands
Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factorization into tree-level operators under unitarity cuts.
-
Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solutions like Bardeen.
-
Untwisting the double copy: the zeroth copy as an optical seed
A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and the single-copy gauge field.
-
Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes
Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse operators at finite alpha'.
-
Planar loop integrands from cuts in $D$ dimensions
A Möbius-inversion formula on the refinement poset reconstructs planar L-loop n-point integrands as sums over non-scaleless scalar graphs dressed by D-dimensional cuts, demonstrated for Yang-Mills theory.
-
Non-topological solitons in biadjoint scalar field theory
Biadjoint scalar theory admits a family of non-topological solitons carrying U(1) charge, time-dependent like Q-balls, stable in truncation, with finite localized energy.
-
Double copy of form factors with multiple operator insertions
A dyeing procedure generalizes the double copy to form factors with multiple operator insertions by mapping spurious poles to physical propagators and revealing a new scalar-ordering structure in gravity.
-
Unitarity, Recursion and Soft Limits in (EA)dS through Dressing
Structural properties of (E)AdS cosmological correlators—cutting rules, tree theorems, BCFW recursion, and soft limits—are obtained by dressing flat-space amplitudes with auxiliary propagators.
-
Closed string trajectories from a new "tiling"
A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.
-
The Diagrammar of Quantum Magnusian
Establishes edge contraction rules for recursive diagrammatic computation of Murua coefficients in the quantum Magnusian without direct Magnus series manipulation.
-
The Smarr Formula is Gauss's Law: A Kerr-Schild Single-Copy Perspective
The Smarr formula is structurally identical to the single-copy Gauss's law for Kerr-Schild black holes, with the AdS pressure-volume term arising from gauge background subtraction.
-
$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions
N-body modeling indicates Gaia BH3 formed as an exchange binary via dynamical interactions in the ED-2 progenitor cluster.
-
The Penrose Transform and the Kerr-Schild double copy
The Kerr-Schild and twistorial double copies are equivalent for self-dual vacuum Kerr-Schild spacetimes.
-
Hawking Radiation meets the Double Copy
Bogoliubov coefficients from scattering a scalar in a collapsing EM background (single copy of Vaidya) match ray-tracing results and connect to Hawking radiation through the double copy.
-
Hidden zeros for higher-derivative YM and GR amplitudes at tree-level
Hidden zeros extend to higher-derivative tree-level gluon and graviton amplitudes, with systematic cancellation of propagator singularities shown via bi-adjoint scalar expansions.
-
Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.
-
Transmutation operators and expansions for $1$-loop Feynman integrands
New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.
-
Amplitudes in self-dual (higher-spin) theories
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.
-
Tree Amplitudes with Charged Matter in Pure Gauge Theory
A new Mathematica package computes tree amplitudes with arbitrary gauge bosons and arbitrarily charged massless fermions by reducing distinct-flavor partial amplitudes to linear combinations of single-flavor supersymmetric Yang-Mills components.
-
Perturbiner methods in scattering amplitude
Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several unpublished recursions.
-
NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes
NLO angular impulse for Kerr black holes computed to all orders in spin via KMOC formalism and leading singularities, with consistency checks and potential extraction.
-
Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy
The Kerr-Schild double copy does not map residual symmetries between Yang-Mills and gravity; gravitational conformal Killing vectors are shown to be BRST-exact after a Weyl-compensated complex, leaving only global isometries.
-
Weyl double copy in Lifshitz spacetimes
The regularization prescription for the Weyl double copy restores consistency with the Kerr-Schild double copy across three distinct Lifshitz black hole examples.
-
Kerr-Schild Double Copy of the Randall-Sundrum Black String
Kerr-Schild double copy of the RSII black string gives a holographic-coordinate-independent sourceless single-copy gauge field and a zeroth copy with warp-induced mass m²=12/l², while an alternative split is inequivalent.
-
Hidden Zeros and $2$-split via BCFW Recursion Relation
Hidden zeros in NLSM amplitudes are proven via modified BCFW recursion, with 2-split holding only under careful current definition.
-
Note on hidden zeros and expansions of tree-level amplitudes
Hidden zeros in tree-level amplitudes of several theories are attributed to zeros of bi-adjoint scalar amplitudes via universal expansions, with a mechanism shown to cancel potential propagator divergences in gravity.
-
Lecture notes: Introduction to the Off-shell Double Copy Program
Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.
- Black Hole Response Theory and its Exact Shockwave Limit