Graphs in Perturbation Theory Algebraic Structure and Asymptotics /

• Main Author: Borinsky, Michael (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; Graph theory.; Elementary particles (Physics).; Quantum field theory.; Mathematical Methods in Physics.; Applications of Graph Theory and Complex Networks.; Graph Theory.; Elementary Particles, Quantum Field Theory.

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...

Table of Contents:

• 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.