Johannes Thürigen - Combinatorial Dyson-Schwinger equations in tensorial field theory скачать в хорошем качестве

Johannes Thürigen - Combinatorial Dyson-Schwinger equations in tensorial field theory

This talk was part of the of the Master Class and Workshop on "Higher Structures Emerging from Renormalisation" held at the ESI November 8 - 19, 2021. Perturbative renormalization in local quantum field theory is described mathematically by the Connes-Kreimer Hopf algebra of Feynman diagrams. This algebra generalizes from usual graphs to ``strand graphs'', the combinatorial objects underlying a broad class of non-local theories, in particular tensorial field theory. As a consequence one can identify Hochschild 1-cocycles and describe the non-perturbative regime of such theories in terms of combinatorial Dyson-Schwinger equations.