Towards an algebraic construction of Quantum Field Theory

Klaus Fredenhagen (Universität Hamburg)

Tue Sep 21, 14:00-15:00 (5 days ago)

Abstract: Algebraic quantum field theory provides a conceptual and mathematically precise framework for the analysis of structural features of quantum field theory. During the last decades, it has in addition provided a generalization of quantum field theory to generic Lorentzian spacetimes, and, moreover, an elegant reformulation of renormalized perturbative quantum field theory. The principles used there actually determine also a C*-algebraic formulation which is surprisingly rich and leads to some nonperturbative results. In particular, the time slice axiom can be derived, a version of Noether's theorem is obtained, and the renormalization group flow caused by anomalies becomes visible in the algebraic structure. The talk is based on joint work with Detlev Buchholz (2020) and on joint work with Romeo Brunetti, Michael Dütsch and Kasia Rejzner (2021).

mathematical physics

Audience: researchers in the discipline

( video )


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Organizers: Jan Dereziński, Marcello Porta*, Kasia Rejzner*, Daniel Ueltschi*
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