Scattering equations: real solutions and particles on a line

@article{Cachazo2016ScatteringER,
  title={Scattering equations: real solutions and particles on a line},
  author={Freddy Cachazo and Sebastian Mizera and Guojun Zhang},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2017},
  pages={1-22}
}
A bstractWe find n(n − 3)/2-dimensional regions of the space of kinematic invariants, where all the solutions to the scattering equations (the core of the CHY formulation of amplitudes) for n massless particles are real. On these regions, the scattering equations are equivalent to the problem of finding stationary points of n − 3 mutually repelling particles on a finite real interval with appropriate boundary conditions. This identification directly implies that for each of the (n − 3… 
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