Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematical Physics (BRIEFSMAPHY, volume 15)
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Table of contents (16 chapters)
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Front Matter
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Preliminaries
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Front Matter
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Keywords
About this book
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics.
The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods.
The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
Authors and Affiliations
Bibliographic Information
Book Title: A Combinatorial Perspective on Quantum Field Theory
Authors: Karen Yeats
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-47551-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2017
Softcover ISBN: 978-3-319-47550-9Published: 22 December 2016
eBook ISBN: 978-3-319-47551-6Published: 23 November 2016
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: IX, 120
Number of Illustrations: 16 b/w illustrations
Topics: Quantum Field Theories, String Theory, Mathematical Physics, Discrete Mathematics