Differences in binarity between gluon and graviton scattering amplitudes

Abstract

Both 3- and 4-point scattering amplitudes for spin-1 massless particles (gluons) and spin-2 massless particles (gravitons) are reviewed through self-contained step-by-step derivation. Gluon and graviton interactions are computed from on-shell diagrams by starting from complex momenta and introducing spinor-helicity formalism. By Fourier transforming spinor variables in momentum space, binarity is revealed in pure Yang-Mills scattering amplitudes while absent to a certain extent for gravity indicating fundamental differences in the probability spaces spanned by the two interactions.

5 pages

References in corpus (2)

• Consistency Conditions on the S-Matrix of Massless Particles
• The four-dimensional on-shell three-point amplitude in spinor-helicity formalism and BCFW recursion relations