Hypergeometric study of Feynman (Euler) integrals


Euler integral gains new attention after the introduction of the Lee-Pomeransky representation of Feynman integrals. As an integral is a transcendental object to study, it is natural to seek a system of equations that characterizes the integral. One can find such a system of differential, difference, and even difference-differential equations through twisted cohomology. We discuss what we can learn from it and what we need to develop.


Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Johannes Henn

Max Planck Institute for Physics

Bernd Sturmfels

Max-Planck-Institut für Mathematik in den Naturwissenschaften