Dual Identities inside the Gluon and the Graviton Scattering Amplitudes

TL;DR

This paper refines and derives dual identities in gluon and graviton scattering amplitudes using string theory properties, enabling more efficient computation of gravitational amplitudes from gauge theory results.

Contribution

It introduces a method to derive dual identities in scattering amplitudes and relates gluon and graviton amplitudes without Feynman diagram calculations.

Findings

Refined dual identities for gluon amplitudes.

Derived graviton amplitudes from gluon amplitudes.

Applicable to loop amplitudes via unitarity.

Abstract

Recently, Bern, Carrasco and Johansson conjectured dual identities inside the gluon tree scattering amplitudes. In this paper, we use the properties of the heterotic string and open string tree scattering amplitudes to refine and derive these dual identities. These identities can be carried over to loop amplitudes using the unitarity method. Furthermore, given the $M$-gluon (as well as gluon-gluino) tree amplitudes, $M$-graviton (as well as graviton-gravitino) tree scattering amplitudes can be written down immediately, avoiding the derivation of Feynman rules and the evaluation of Feynman diagrams for graviton scattering amplitudes.