1pm-2pm: Tropical quantum field theory and asymptotics of perturbation theory

To compute predictions for phase transitions in condensed matter or the collision of elementary particles, quantum field theory is typically solved perturbatively. This expansion produces divergent series, so the extraction of meaningful results is non-trivial (resummation); moreover very little is known about the actual asymptotic behaviour of these series.
In this talk, I will introduce a new limit of quantum field theory (the „tropical“ limit), which is easily computable to very high orders in perturbation theory, yet at the same time captures the full complexity of subdivergences and renormalization. I will illustrate that the values of Feynman integrals and their tropical limit are highly correlated. Based on data up to 200 loops, we can precisely determine the asymptotic growth of the (tropical) beta function and confirm the absence of renormalons in the minimal subtraction scheme.