Centre de Physique Théorique


Juin 2019

Mercredi 19 juin 14:00-15:00, Amphi 5 du CPT

Singular limits solutions for a 2-dimensional elliptic system of Liouville type in some general case

Sami Baraket (Université de Tunis El-Manar)


We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We consider in particular the case, when the sets of singularities of solutions are intersecting. We use the nonlinear domain decomposition method and a Pohozaev type identity.

Mercredi 26 juin 14:00-15:00, Amphi 5 du CPT

Wave turbulence and asymptotic for singular integrals

Serguei Kuksin (UPMC)


I will discuss the stochastic model for the wave turbulence due
to Zakharov-L’vov, explain that the corresponding problem of decomposing
the energy spectrum to formal series in the properly scaled small
amplitude leads to asymptotic questions for a class of singular
integrals and show how to calculate this asymptotic. Finally I will
explain how these results allow to obtain the kinetic approximation for
the energy spectrum.

Vendredi 28 juin 14:00-15:00, Amphi 5

Quantum gravity from fakeons

Damiano Anselmi (University of Pisa)

A new quantization prescription is able to endow quantum field theory with a new type of "particle", the fakeon (fake particle), which mediates interactions, but cannot be observed. A massive fakeon of spin 2 (together with a scalar field) allows us to build a theory of quantum gravity that is both renormalizable and unitary, and to some extent unique. After presenting the general properties of this theory, I discuss its classical limit, which carries important remnants of the fakeon quantization prescription. I also discuss the possibility that the Higgs boson might be a fakeon.