عنوان

Graphs in perturbation theory :

(Number (ISBN

3030035417

(Number (ISBN

9783030035419

Erroneous ISBN

3030035409

Erroneous ISBN

9783030035402

Erroneous ISBN

9783030035426

Title Proper

Graphs in perturbation theory :

General Material Designation

[Book]

Other Title Information

algebraic structure and asymptotics /

First Statement of Responsibility

Michael Borinsky.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xviii, 173 pages) :

Other Physical Details

illustrations (some color)

Series Title

Springer theses,

ISSN of Series

2190-5053

Text of Note

"Doctoral thesis accepted by the Humboldt-Universität zu Berlin, Germany."

Text of Note

Includes bibliographical references.

Text of Note

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.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030035419

Title

Graphs in perturbation theory.

International Standard Book Number

9783030035402

Hopf algebras.

Perturbation (Mathematics)

Quantum field theory.

Combinatorics & graph theory.

Hopf algebras.

Mathematical physics.

Perturbation (Mathematics)

Quantum field theory.

Quantum physics (quantum mechanics & quantum field theory)

SCIENCE-- Energy.

SCIENCE-- Mechanics-- General.

SCIENCE-- Physics-- General.

PHU

PHU

SCI-- 024000

SCI-- 041000

SCI-- 055000

Number

Edition

Class number

Borinsky, Michael

Date of Transaction

20200823075532.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y