All-order celestial OPE from on-shell recursion
Lecheng Ren, Anders Schreiber, Atul Sharma, Diandian Wang
Abstract
A bstract We determine tree level, all-order celestial operator product expansions (OPEs) of gluons and gravitons in the maximally helicity violating (MHV) sector. We start by obtaining the all-order collinear expansions of MHV amplitudes using the inverse soft recursion relations that they satisfy. These collinear expansions are recast as celestial OPE expansions in bases of momentum as well as boost eigenstates. This shows that inverse soft recursion for MHV amplitudes is dual to OPE recursion in celestial conformal field theory.
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Recursion (computer science)Mathematical physicsPhysicsHelicityGravitonCelestial sphereConformal mapOrder (exchange)Operator (biology)Field (mathematics)Eigenvalues and eigenvectorsInverseQuantum electrodynamicsPure mathematicsMathematicsParticle physicsMathematical analysisClassical mechanicsQuantum mechanicsGeometryAstrophysicsFinanceAlgorithmChemistryEconomicsGeneTranscription factorBiochemistryRepressorGravitationBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies