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Knots and Feynman Diagrams (Cambridge Lecture Notes in Physics)
 
 
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Knots and Feynman Diagrams (Cambridge Lecture Notes in Physics) [Paperback]

Dirk Kreimer (Author)

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Book Description

July 31, 2000 0521587611 978-0521587617 0
This volume explains how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. The author emphasizes how new discoveries in mathematics have inspired conventional calculational methods for perturbative quantum field theory to become more elegant and potentially more powerful methods. The material illustrates what may possibly be the most productive interface between mathematics and physics. As a result, it will be of interest to graduate students and researchers in theoretical and particle physics as well as mathematics.


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This is a fascinating story of the search for a conjecture." Mathematical Reviews

Book 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 field theory. The emphasis in the book is to show how conventional calculational methods for perturbative quantum field theory lead to more elegant and potentially more powerful methods inspired by new mathematical discoveries. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will not only be of considerable interest to theoretical and particle physicists, but also to many mathematicians.

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In this chapter we repeat the main steps towards a derivation of the Feynman rules, following the well-known path of canonical quantization. Read the first page
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