The Markov property is an important property of Random Fields that allows to use them to construct a Quantum Field Theory. It is closely connected to Segal’s Axioms, which describe how to assemble Random Fields on a bigger manifold from Fields on smaller pieces. In this talk I will describe how to establish these properties for the φ34 model on cylinders.

This is joint work with T. Gunaratnam.

This video was produced by the University of Münster, as part of the workshop Stochastic Analysis meets QFT – critical theory.