ENGLISH

A Combinatorial Perspective on Quantum Field Theory

By Karen Yeats (auth.)

Book information

Publisher
Springer International Publishing
Year
2017
ISBN
978-3-319-47550-9, 978-3-319-47551-6
DOI
10.1007/978-3-319-47551-6
Language
english
Format
PDF
Filesize
4 MB (4410600 bytes)
Series
SpringerBriefs in Mathematical Physics 15
Edition
1
Pages
IX, 120\120
Time added
2017-02-20 14:56:08
Quantum Field TheoriesString Theory;Mathematical Physics;Discrete Mathem

Description

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.

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