Graphs in Perturbation Theory

Algebraic Structure and Asymptotics de

Éditeur :

Springer


Collection :

Springer Theses

Paru le : 2018-11-04

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Description
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 algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.
Pages
173 pages
Collection
Springer Theses
Parution
2018-11-04
Marque
Springer
EAN papier
9783030035402
EAN PDF
9783030035419

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
3389 Ko
Prix
116,04 €
EAN EPUB
9783030035419

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
15043 Ko
Prix
116,04 €