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

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Speaker: 
Ali Shojaei-Fard
Affiliation: 
MPIM
Date: 
Mon, 2018-11-12 12:00 - 13:30
Location: 
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" (to appear in MPIM preprint series).  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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