Graphs in Perturbation Theory Algebraic Structure and Asymptotics /

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf alg...

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Hlavný autor: Borinsky, Michael (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:Springer Theses, Recognizing Outstanding Ph.D. Research,
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ISBN:9783030035419
ISSN:2190-5053
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Obsah:
  • Introduction
  • Graphs
  • Graphical enumeration
  • The ring of factorially divergent power series
  • Coalgebraic graph structures
  • The Hopf algebra of Feynman diagrams
  • Examples from zero-dimensional QFT.