SMuK 2021 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 15: Quantum Field Theory: Renormalization

MP 15.2: Talk

Thursday, September 2, 2021, 14:25–14:50, H6

Perturbative Renormalization in Combinatorially Non-local Field Theory — •Johannes Thürigen — WWU Münster

Renormalization in local quantum field theory relies on the possibility to subtract all subdivergences in a Feynman diagram as described for example by Zimmermann's forest formula or the Connes-Kreimer Hopf algebra. Here we show how this can be generalized to field theories with combinatorially non-local interactions such as matrix or tensor field theories. In particular, this gives a general recipe for renormalization of various field-theory approaches to quantum gravity.