Construction of a Haag Kastler net of von Neumann algebras

par Dorothea Bahns (Georg-August-Universität Göttingen)

vendredi 22 mars 2019, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Institut Camille Jordan)

Based on the functional formalism for perturbative Algebraic Quantum Field Theory, the Haag-Kastler net of local von Neumann algebras is constructed in the ultraviolet finite regime of the sine-Gordon model. This gives an example of a theory satisfying the Haag-Kastler axioms. The approach does not need an auxiliary mass nor the detour of Euclidean signature.

This is joint work with Kasia Rejzner and Klaus Fredenhagen.