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Resurgence, Physics and Numbers

Combinatorics of Feynman diagrams and the algebraic lattice structure in QFT

speaker: Michael Borinsky (Humboldt University Berlin)

abstract: Divergent perturbation expansions in QFT are believed to be dominated by the growth of Feynman diagrams. Cvitanović et. al (1978) studied the growth rates for these diagrams. In my talk I will discuss, what can be learned from these combinatorial ideas in the scope of the Hopf algebra of Feynman diagrams. Additionally, I will introduce the algebraic lattice structure of these diagrams, which can be used to enumerate primitive (skeleton) diagrams in a few cases.

timetable:
Thu 21 May, 9:30 - 10:30, Aula Dini
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