Graphs in Perturbation Theory - Algebraic Structure and Asymptotics (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Springer Theses
Release date:	November 2018
First published:	2018
Authors:	Michael Borinsky
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	173
Edition:	1st ed. 2018
ISBN-13:	978-3-03-003540-2
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-03-003540-9
Barcode:	9783030035402

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