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A renormalization program for Dyson–Schwinger equations (part IV)

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Ali Shojaei-Fard
Mon, 2018-12-03 12:00 - 13:30
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

This Minicourse is based on the speaker's monograph "a mathematical perspective on the phenomenology of non-perturbative Quantum Field Theory" (arXiv:1811.05333).  In this talk I plan to review the fundamental structure of the Connes--Kreimer renormalization Hopf algebra of Feynman diagrams and combinatorial Dyson--Schwinger equations. Then I explain a recent application of infinite graph theory to Quantum Field Theory which leads to build a renormalization machinery for infinite formal expansions of Feynman diagrams.

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