Differential Equations for Feynman Integrals from Position Space [unusual time]

by Victor Mishnyakov (Nordita)

Thursday 30 Jan 2025, 11:15 → 13:15 Europe/Berlin

I will explain the main features of a new approach to obtaining differential equations for Feynman integrals. This method is based on the position-space representation of the integrals. The goal is to formulate the differential equations in a way that traces their origin to a "first principle"—in our case, the equation of motion for the propagator. The cleanest example of this approach is the equal-mass banana graph, although further generalizations become technically challenging. I will illustrate the main difficulties but will also highlight some concepts that could prove useful beyond our specific setup.