Speaker
Daniela Cadamuro
Description
The aim of quantum field theory (QFT) is to unify quantum theory with the principles of relativity. The problem of a consistent mathematical description, beyond the level of formal perturbation theory, is still open to date, in particular for many physically interesting models describing interaction among relativistic particles. One mathematical framework for the description of QFT on Minkowski space is based on the Wightman axioms, which deal with the notion of quantum fields and with unbounded operators; another framework is the abstract Haag-Kastler setting, where algebras of bounded operators associated with space-time regions are the fundamental objects. This lecture gives an introduction to these two frameworks, and presents an example of such a construction in a class of interacting quantum field theories on 1+1-dimensional Minkowski space, the so called quantum integrable models.
