BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Erik Panzer (Oxford University) DTSTART:20260218T104500Z DTEND:20260218T114500Z DTSTAMP:20260710T044511Z UID:SeedSeminar/117 DESCRIPTION:Title: Tropical quantum field theory and asymptotics of perturbation theory \nby Erik Panzer (Oxford University) as part of Seed Seminar of Mathem atics and Physics\n\n\nAbstract\nTo compute properties of phase transition s in condensed matter or the interactions of elementary particles\, quantu m field theory is typically solved perturbatively. This expansion produces divergent series\, so the extraction of meaningful results (resummation) is not straightforward. In fact\, very little is known about the actual as ymptotic 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 t ime captures the full complexity of subdivergences\, renormalization\, and scheme dependence. I will illustrate that the values of Feynman integrals and their tropical limit are highly correlated. Based on data up to 400 l oops\, we can precisely determine the asymptotic growth of the (tropical) beta function in different renormalization schemes. In particular\, we fin d unexpectedly complicated instantons\, and we confirm the absence of reno rmalons in the minimal subtraction scheme.\n LOCATION:https://researchseminars.org/talk/SeedSeminar/117/ END:VEVENT END:VCALENDAR