Jaroslaw Wawrzycki (BLTP)

Causal perturbative QFT and space-time geometry

Seminar will be devoted to the Bogoliubov perturbative QFT on the Minkowski space-time and on the Einstein Universe (EU). Essential novelty of the approach comes from using the so-called Hida white noise operators as the free field creation-annihilation operators, converting higher order contributions to the scattering operator and, more generally, to interacting field operators, into generalized integral kernel operators. This idea comes back to Berezin. This approach allows us to solve some of the infra-red (IR) problems, among them we give a theoretical proof that neutrino is a massive particle -- one among the open problems in theoretical QFT. We mention also some other problems, which we have solved using this approach, among them a rigorous construction of the Feynman integral on the compactified EU which is applicable in non-perturbative numerical computations on EU.