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SUMMARY:The Phi^4_2 theory as limit of interacting inhomogeneous Bose gase
 s
DTSTART:20260311T160000
DTEND:20260311T165000
DTSTAMP:20260416T122856Z
UID:d9d0d46cac76ea5feb8636ec2c6fd7c87213a9479f7a705d3091c5b5
CATEGORIES:Conferences - Seminars
DESCRIPTION:Cristina Caraci (Geneva)\n\nEuclidean field theories have been
  extensively studied in the mathematical literature since the sixties\, mo
 tivated by high-energy physics and statistical mechanics. Formally\, they 
 can be described in terms of Gibbs measures associated with Euclidean acti
 on functionals on spaces of distributions. In recent years\, it has been s
 hown that such theories emerge as high-density limit of interacting Bose g
 ases at positive temperature\, yielding a rigorous derivation from a reali
 stic microscopic model of statistical mechanics.  \nIn this talk\, I will
  present a result establishing the derivation of a two-dimensional Euclide
 an field theory with a quartic local interaction - equivalently\, of its i
 nvariant Gibbs measure - as the limit of an inhomogeneous interacting Bose
  gas. This extends previous work on the torus by Fröhlich\, Knowles\, Sch
 lein and Sohinger. This is joint work with Antti Knowles\, Alessio Ranallo
  and Pedro Torres Giesteira.
LOCATION:Bernoulli center
STATUS:CANCELLED
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