The Phi^4_2 theory as limit of interacting inhomogeneous Bose gases
Event details
| Date | 11.03.2026 |
| Hour | 16:00 › 16:50 |
| Speaker | Cristina Caraci (Geneva) |
| Location |
Bernoulli center
|
| Category | Conferences - Seminars |
| Event Language | English |
Euclidean field theories have been extensively studied in the mathematical literature since the sixties, motivated by high-energy physics and statistical mechanics. Formally, they can be described in terms of Gibbs measures associated with Euclidean action functionals on spaces of distributions. In recent years, it has been shown that such theories emerge as high-density limit of interacting Bose gases at positive temperature, yielding a rigorous derivation from a realistic microscopic model of statistical mechanics.
In this talk, I will present a result establishing the derivation of a two-dimensional Euclidean field theory with a quartic local interaction - equivalently, of its invariant Gibbs measure - as the limit of an inhomogeneous interacting Bose gas. This extends previous work on the torus by Fröhlich, Knowles, Schlein and Sohinger. This is joint work with Antti Knowles, Alessio Ranallo and Pedro Torres Giesteira.
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