Scattering Amplitudes from Intersection Theory

On Graviton Scattering Amplitudes in M-Theory

We compute graviton scattering amplitudes in M-theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange, that in M(atrix) theory correspond to the v/rand v/r-term respectively. We further show that the v/r-term appearing in M(atrix) theory at two-loops can be ob...

Scattering amplitudes in open superstring theory

Graviton scattering amplitudes in M theory

We compute graviton scattering amplitudes in M theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange, that in M~atrix! theory correspond to the v/r and v/r term, respectively. We argue that the v/r term appearing in M~atrix! theory at two loops can be obtaine...

Scattering Amplitudes from Three-Particle Equations

We here use our non-perturbative, cluster decomposable relativistic scattering formalism to calculate photon-spinor scattering, including the related particle-antiparticle annihilation amplitude. We start from a three-body system in which the unitary pair interactions contain the kinematic possibility of single quantum exchange and the symmetry properties needed to identify and substitute antip...

Planar scattering amplitudes from Wilson loops

We derive an expression for parton scattering amplitudes of planar gauge theory in terms of sums of Wilson loops. We study in detail the example of Yang-Mills theory with an adjoint Higgs field. The expression exhibits the T-duality performed by Alday and Maldacena in the AdS dual as a Fourier transform in loop space. When combined with the AdS/CFT correspondence for Wilson loops and a strong c...