UNBOUNDED OPERATOR INTEGRALS AND NONCOMMUTATIVE QUANTUM FIELD THEORY

Speaker(s)

EVA-MARIA HEKKELMAN

Affiliation

Max-Planck-Institut für Mathematik, Bonn, Germany

Language of the talk

English

Date

March 18, 2026, 5:15 p.m.

Information about the event

IMPAN 405 & ZOOM

Title in Polish

UNBOUNDED OPERATOR INTEGRALS AND NONCOMMUTATIVE QUANTUM FIELD THEORY

Seminar

North Atlantic Noncommutative Geometry Seminar

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In Noncommutative Geometry, operator integrals appear in abundance. However,  since the involved operator arguments are typically unbounded, they do not neatly fit the usual theories of Multiple Operator Integrals (MOIs). To solve this problem, in my 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 noncommutative Quantum Field Theory model based on the spectral action. I will then discuss my recent joint result with Teun van Nuland and Jesse Reimann regarding the power counting in this model.

 

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