Erlangen 2026 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantum Field Theory II

MP 4.1: Hauptvortrag

Mittwoch, 18. März 2026, 11:00–11:30, KH 02.013

Exact Schwinger functions for a class of bounded interactions in d≥ 2 — •Wojciech Dybalski — AMU Poznan, Poland

We study scalar Euclidean quantum field theories with interactions defined by bounded, measurable functions. We assume that these functions have well-defined limits at both positive and negative infinity. In the spirit of the Buchholz-Verch approach we start from a large class of field renormalization functions and look for choices admitting interesting UV behaviour. We exhibit choices for which all connected Schwinger functions, except perhaps for the two-point function, exist non-perturbatively in the UV limit. Moreover, we obtain closed form formulas for these Schwinger functions demonstrating non-Gaussianity of the field. The remaining challenge of rigorously controlling the two-point function is also discussed. (Based on CMP(2025)406:211).

Keywords: Euclidean quantum field theory; renormalization