Journée thématique autour de la renormalisation

Contribution List

2. Nils Berglund : Renormalisation of static and dynamic Phi^4_d models

6/12/23, 11:00 AM

The static Phi^4 model on the d-dimensional torus is a well-known toy
model in Euclidean quantum field theory. It is well-posed for d = 1,
and its renormalisation is well-understood for d = 2 and d = 3, thanks
to works by Glimm, Jaffe, and many others. In the dynamic case, the
model becomes a stochastic PDE, motivated by the idea of stochastic
quantization. It is well-posed for d = 1. A...

3. Slava Rychkov : Real-space renormalization of lattice models using tensor networks

6/12/23, 1:30 PM

Critical points of lattice models, such as the 3d Ising model, are conjectured by Kenneth Wilson in 1970’s to correspond to fixed points of renormalization group transformations. I will discuss the status of this conjecture, a novel class of renormalization group transformations using the language of tensor networks, a few results which were recently obtained using this language for the high...

1. Jonas Lampart : Singular perturbations and renormalisation in non-relativistic quantum field theory

6/12/23, 3:00 PM

I will explain the relation of ultra-violet renormalisation to the theory of singular perturbations of self-adjoint operators in some examples from non-relativistic quantum field theory.
After introducing the relevant formalism, I will discuss in detail a toy model of particle creation and annihilation at a point source.
I will then outline how the same approach can be extended to more...