Heidelberg 2022 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantum field theory

MP 7.4: Vortrag

Mittwoch, 23. März 2022, 17:45–18:05, MP-H5

Dyson-Schwinger Equations in Tensorial Φ⁴ Theory — •Johannes Thürigen — Mathematisches Institut der Westfälischen Wilhelms-Universität, Münster, Deutschland

In quantum field theory, the Connes-Kreimer Hopf algebra captures not only the structure of perturbative renormalization but allows also to describe the non-perturbative regime in terms of “combinatorial” Dyson-Schwinger equations. This algebra generalizes from usual Feynman diagrams to “strand graphs”, the combinatorial objects underlying a broad class of non-local theories, in particular tensorial field theory. Here we show how this can be used to derive Dyson-Schwinger equations in the case of Φ⁴ theory with tensorial interactions.