Unbounded operator integrals and Quantum Field Theory

20.05.2026, 11:00 Uhr  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

Eva-Maria Hekkelman (MPI Bonn)

Operator integrals appear in abundance in many areas of functional analysis. The typical way to deal with these is through a theory called Multiple Operator Integration (MOI). Noncommutative Geometry is no exception, but the involved operator arguments are here typically unbounded, and they do not neatly fit the usual theory of MOI. To solve this problem, in joint work with Edward McDonald and Teun van Nuland, we provided a construction of MOIs which can handle (unbounded) abstract pseudodifferential operators. I will sketch how this construction can play a role in a Quantum Field Theory model based on noncommutative geometry (through the spectral action). I will then discuss recent joint result with Teun van Nuland and Jesse Reimann regarding the power counting in this model.

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