Tree-level gluon correlators in AdS4 decompose into energy poles with residues given by flat-space amplitudes, curvature corrections captured by lower-point amplitudes with merged data via AdS Berends-Giele currents.
Calculating Scattering Amplitudes Efficiently
10 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We review techniques for more efficient computation of perturbative scattering amplitudes in gauge theory, in particular tree and one-loop multi-parton amplitudes in QCD. We emphasize the advantages of (1) using color and helicity information to decompose amplitudes into smaller gauge-invariant pieces, and (2) exploiting the analytic properties of these pieces, namely their cuts and poles. Other useful tools include recursion relations, special gauges and supersymmetric rearrangements.
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The classical limit of five-dimensional spinning amplitudes reproduces the multipole expansion of five-dimensional black holes after augmenting with the Hodge dual of the spin tensor, and identifies amplitudes corresponding to the Myers-Perry solution.
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.
A planar scattering potential in bi-adjoint φ³ theory reproduces Dolan-Goddard massive equations, counts invariants via Ferrers shapes, and interprets U(1) decoupling as Catalan and Narayana recursions.
A quantum walk on permutation trees encodes color orderings of gluons via spinor-product transitions, with Kraus operators and a coin-space QFT used to assemble the Parke-Taylor MHV amplitude.
Introduces a boundary-residue incidence coalgebra on associahedral face posets that records nested factorization channels in planar scalar amplitudes and extends the idea to loop-level positive geometries.
Collider events are represented as multivectors in Cl(1,3) ⊗ V_flav whose grade projections recover standard observables, intended as input for equivariant foundation models.
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 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.
citing papers explorer
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On the amplitude expansion of gluon correlators in $\textrm{AdS}_4$
Tree-level gluon correlators in AdS4 decompose into energy poles with residues given by flat-space amplitudes, curvature corrections captured by lower-point amplitudes with merged data via AdS Berends-Giele currents.
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Five-dimensional Geometry from Spinning Amplitudes
The classical limit of five-dimensional spinning amplitudes reproduces the multipole expansion of five-dimensional black holes after augmenting with the Hodge dual of the spin tensor, and identifies amplitudes corresponding to the Myers-Perry solution.
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$D$-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.
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Emergent Features in $U(N) \times U(\tilde{N})$ Bi-adjoint Cubic Theory
A planar scattering potential in bi-adjoint φ³ theory reproduces Dolan-Goddard massive equations, counts invariants via Ferrers shapes, and interprets U(1) decoupling as Catalan and Narayana recursions.
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A Quantum-Walk Representation of Color-Ordered MHV Scattering Amplitudes
A quantum walk on permutation trees encodes color orderings of gluons via spinor-product transitions, with Kraus operators and a coin-space QFT used to assemble the Parke-Taylor MHV amplitude.
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A Boundary--Residue Incidence Coalgebra for Associahedral Scattering Forms
Introduces a boundary-residue incidence coalgebra on associahedral face posets that records nested factorization channels in planar scalar amplitudes and extends the idea to loop-level positive geometries.
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Geometric algebra as the input language of collider foundation models
Collider events are represented as multivectors in Cl(1,3) ⊗ V_flav whose grade projections recover standard observables, intended as input for equivariant foundation models.
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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.
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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.
- Quantum anomalies from three-point on-shell bootstrap