Abstract
We present a compact formula for the complete tree-level -matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimensions. The new formula for the scattering of particles is given by an integral over the positions of points on a sphere restricted to satisfy a dimension-independent set of equations. The integrand is constructed using the reduced Pfaffian of a matrix, , that depends on momenta and polarization vectors. In its simplest form, the gravity integrand is a reduced determinant which is the square of the Pfaffian in the Yang-Mills integrand. Gauge invariance is completely manifest as it follows from a simple property of the Pfaffian.
- Received 28 July 2014
DOI:https://doi.org/10.1103/PhysRevLett.113.171601
© 2014 American Physical Society
Viewpoint
Particle Scattering Simplified
Published 20 October 2014
A new formula for the scattering of massless particles may simplify predictions and analyses of LHC experiments and shed new light on quantum gravity theories.
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