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SpringerBriefs in Mathematical Physics

A Combinatorial Perspective on Quantum Field Theory

Authors: Yeats, Karen

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  • ISBN 978-3-319-47551-6
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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.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-47551-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-47550-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Combinatorial Perspective on Quantum Field Theory
Authors
Series Title
SpringerBriefs in Mathematical Physics
Series Volume
15
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-47551-6
DOI
10.1007/978-3-319-47551-6
Softcover ISBN
978-3-319-47550-9
Series ISSN
2197-1757
Edition Number
1
Number of Pages
IX, 120
Number of Illustrations
16 b/w illustrations
Topics