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SUMMARY:Tropical Quantum Field Theory and Asymptotics of Perturbation Theo
 ry
DTSTART:20260218T104500Z
DTEND:20260218T114500Z
DTSTAMP:20260425T212700Z
UID:indico-event-15798@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Erik Panzer (Mathematical Institute\, University of 
 Oxford)\n\nSeed Seminar of Mathematics and Physics\nWinter '26: Flavors of
  Amplitudes \nTo compute properties of phase transitions in condensed mat
 ter or the interactions of elementary particles\, quantum field theory is 
 typically solved perturbatively. This expansion produces divergent series\
 , so the extraction of meaningful results (resummation) is not straightfor
 ward. In fact\, very little is known about the actual asymptotic behaviour
  of these series. In this talk\, I will introduce a new limit of quantum f
 ield theory (the „tropical“ limit)\, which is easily computable to ver
 y high orders in perturbation theory\, yet at the same time captures the f
 ull complexity of subdivergences\, renormalization\, and scheme dependence
 . I will illustrate that the values of Feynman integrals and their tropica
 l limit are highly correlated. Based on data up to 400 loops\, we can prec
 isely determine the asymptotic growth of the (tropical) beta function in d
 ifferent renormalization schemes. In particular\, we find unexpectedly com
 plicated instantons\, and we confirm the absence of renormalons in the min
 imal subtraction scheme.\nPlus d’informations : https://seedseminar.app
 s.math.cnrs.fr/program/#february-18-2026\n========\nPour être informé de
 s prochains séminaires vous pouvez vous abonner à la liste de diffusion 
 en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subsc
 ribe seminaire_mathematique PRENOM NOM"(indiquez vos propres prénom et no
 m) et laissez le corps du message vide.\n\nhttps://indico.math.cnrs.fr/eve
 nt/15798/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15798/
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