Séminaire Physique mathématique ICJ

Construction of a Haag Kastler net of von Neumann algebras

by Dorothea Bahns (Georg-August-Universität Göttingen)

Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne

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.


Organized by

Fabien Vignes-Tourneret

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