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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantum Field Theory I

MP 4.2: Talk

Monday, March 18, 2024, 15:20–15:40, HL 102

Wave Function Renormalizations in Non-Local Field Theories — •Johannes Thürigen — Mathematisches Institut, Universität Münster

In combinatorially non-local field theories, propagating degrees of freedom interact similar to matrix or tensor interactions. Then, both from a perturbative (Hopf algebraic) and non-perturbative (FRG) perspective there are indications that renormalization is inconsistent with a single wave function renormalization parameter, even when the propagator is the same as in local QFT. We show how to improve this in terms of several wave function renormalizations and how, consequently, the renormalization group is modified. This is based on arXiv:2305.06136 and ongoing work.

Keywords: Quantum Field Theory; Perturbative Renormalization; Renormalization Group; Tensor Models; Quantum Gravity