13th Colloquium on Mathematics and Foundations of Quantum Theory

Data: piątek, 02.07.2021, godz. 15:00

Prelegent: Sergio Albeverio, Francesco De Vecchi (University of Bonn)

Abstrakt: We propose an introduction to stochastic quantization methods and their
applications to constructive quantum field theory. Starting from the Euclidean reformulation
of the relativistic quantum fields, we shall present new developments
coming from the theory of stochastic partial differential equations (stochastic quantization
equation). We discuss as a case of study the polynomial and exponential
scalar bosonic models in two dimensions.We describe some analytic and probabilistic
techniques which also find applications in more general settings (such as Besov
spaces, singular SPDEs and their invariant solutions).

Data: piątek, 02.07.2021, godz. 16:30

Prelegent: Massimiliano Gubinelli (University of Bonn)

Abstrakt: In this talk I will illustrate how the general philosophy of stochastic quantisation
applies to the \(\Phi\)\(4 \atop 3\) measure, in particular how the Euclidean QFT axioms can

be verified for this model using several features the stochastic dynamics. I plan also
to touch upon non-Gaussianity and Dyson-Schwinger equation for the measure
without cutoffs.

For zoom link write to wojciech.dybalski@amu.edu.pl

Program