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SUMMARY:Cristina Caraci - The Phi^4_2 theory as limit of interacting inhom
 ogeneous Bose gases
DTSTART:20260420T140000Z
DTEND:20260420T150000Z
DTSTAMP:20260423T084200Z
UID:indico-event-16429@indico.math.cnrs.fr
DESCRIPTION:Euclidean field theories have been extensively studied in the 
 mathematical literature since the sixties\, motivated by high-energy physi
 cs and statistical mechanics. Formally\, they can be described by Gibbs me
 asures associated with Euclidean action functionals over spaces of distrib
 utions. In the latest years it has been shown how such theories emerge as 
 high-density limit of interacting Bose gases at positive temperature\, giv
 ing a rigorous derivation from a realistic microscopic model of statistica
 l mechanics.  In this talk\, I will present a result providing the deriv
 ation of such a field theory\, hence of the invariant Gibbs measure\, with
  a quartic local interaction in two dimensions as a limit of an inhomogene
 ous interacting Bose gas\, extending the previous work on the torus by Fr
 öhlich-Knowles-Schlein-Sohinger. Based on joint work with Antti Knowles\,
  Alessio Ranallo and Pedro Torres Giesteira\n\nhttps://indico.math.cnrs.fr
 /event/16429/
LOCATION:435 (UMPA\, ENS de Lyon)
URL:https://indico.math.cnrs.fr/event/16429/
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