Dirk Kreimer
Description
This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum fie
...
ld theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalization, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will be of interest to theoretical and particle physicists, and mathematicians.
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Genres
Science & Technology
Tags
Mathematics
Science
Physics
Topology
Quantum Theory
Mathematical & Computational
Reading Moods
Dark & Gritty
Romantic & Emotional
Raw & Realistic
Contributors
No contributors specified
Publishing Info
Publisher
Cambridge University Press
Month-Year
Jul, 2000
ISBN
ISBN-13: 9780521587617
ISBN-10: 0521587611
Language
English
No. of Pages
259
Format
Paperback
Awards & Recognition
No awards specified
Available at
No purchase options available
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