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Knots and Feynman Diagrams

Knots and Feynman Diagrams

$96.00 (C)

Part of Cambridge Lecture Notes in Physics

  • Author: Dirk Kreimer, Johannes Gutenberg Universität Mainz, Germany
  • Date Published: July 2000
  • availability: In stock
  • format: Paperback
  • isbn: 9780521587617

$ 96.00 (C)

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About the Authors
  • 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.

    • Author is leading pioneer in this field of research
    • Self-contained and provides pedagogical coverage of recent developments previously only discussed in journals
    • Includes many helpful diagrams
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    Reviews & endorsements

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

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    Product details

    • Date Published: July 2000
    • format: Paperback
    • isbn: 9780521587617
    • length: 272 pages
    • dimensions: 229 x 154 x 17 mm
    • weight: 0.38kg
    • contains: 97 b/w illus. 8 tables
    • availability: In stock
  • Table of Contents

    1. Introduction
    2. Perturbative quantum field theory
    3. The Hopf algebra structure of renormalization
    4. Rationality: no knots, no transcendentals
    5. The simplest link diagrams
    6. Necessary topics from knot theory
    7. Knots to numbers
    8. One-loop words
    9. Euler-Zagier sums
    10. Knots and transcendentals
    11. The 4-term relation
    12. Hopf algebras, non-commutative geometry, and what else?

  • Author

    Dirk Kreimer, Johannes Gutenberg Universität Mainz, Germany

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