SD Perturbiner in YM+Gravity

Abstract

An explicit self-dual classical solution of the type of perturbiner in Yang-Mills theory interacting with gravity is obtained. This allows one to describe the tree self-dual gluonic form-factors including any number of positive-helicity gravitons in addition to the positive helicity gluons.

8 pages, Latex

References in corpus (3)

• Multi-Parton Amplitudes in Gauge Theories
• On amplitudes in self-dual sector of Yang-Mills theory
• Scattering of Plane Waves in Self-Dual Yang-Mills Theory

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• Perturbiner Methods for Effective Field Theories and the Double Copy
• Classical double copy at null infinity
• Eikonal amplitudes from curved backgrounds
• A Note on MHV Amplitudes for Gravitons
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
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• The $L_{\infty }$ structure of gauge theories with matter
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• New relations for graviton-matter amplitudes
• All rational one-loop Einstein-Yang-Mills amplitudes at four points
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• Perturbations of General Relativity to All Orders and the General $n^{\mathrm{th}}$ Order Terms
• Evaluating EYM amplitudes in four dimensions by refined graphic expansion
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
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• Tree amplitudes from nonlinear (super)symmetries in Volkov-Akulov theory
• Systematic approach to $\ell$-loop planar integrands from the classical equation of motion
• The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables
• Quantum Off-Shell Recursion Relation