4 citations · 8 across the 8 of their papers we have counts for
8 papers
SubTropica
Mathieu Giroux, Sebastian Mizera, Giulio Salvatori
We present SubTropica, a Mathematica package that performs symbolic integration of multi-polylogarithmic integrals using recent advances in tropical geometry. It focuses on the cla…
Configuration Spaces of Finite Representation Type Algebras
Nima Arkani-Hamed, Hadleigh Frost, Pierre-Guy Plamondon +2
To every finite-dimensional -algebra of finite representation type we associate an affine variety. These varieties are a large generalization of the varieties define…
All Loop Scattering As A Sampling Problem
Giulio Salvatori
How to turn the flip of a coin into a random variable whose expected value equals a scattering amplitude? We answer this question by constructing a numerical algorithm to evaluate…
The Cut Equation
Nima Arkani-Hamed, Hadleigh Frost, Giulio Salvatori
Scattering amplitudes for colored theories have recently been formulated in a new way, in terms of curves on surfaces. In this note we describe a canonical set of functions we call…
The Tropical Geometry of Subtraction Schemes
Giulio Salvatori
We study the construction of local subtraction schemes through the lenses of tropical geometry. We focus on individual Feynman integrals in parametric presentation, and think of th…
Tropical Amplitudes For Colored Lagrangians
Nima Arkani-Hamed, Carolina Figueiredo, Hadleigh Frost +1
Recently a new formulation for scattering amplitudes in Tr() theory has been given based on simple combinatorial ideas in the space of kinematic data. This allows all-loop int…
All Loop Scattering For All Multiplicity
Nima Arkani-Hamed, Hadleigh Frost, Giulio Salvatori +2
This is part of a series of papers describing the new curve integral formalism for scattering amplitudes of the colored scalar tr theory. We show that the curve integral manif…
All Loop Scattering As A Counting Problem
N. Arkani-Hamed, H. Frost, G. Salvatori +2
This is the first in a series of papers presenting a new understanding of scattering amplitudes based on fundamentally combinatorial ideas in the kinematic space of the scattering…