Cover for Analytic Properties of Feynman Diagrams in Quantum Field Theory

Analytic Properties of Feynman Diagrams in Quantum Field Theory

Volume 38 in International Series of Monographs in Natural Philosophy

Book1971

Authors:

I.T. TODOROV

Analytic Properties of Feynman Diagrams in Quantum Field Theory

Volume 38 in International Series of Monographs in Natural Philosophy

Book1971

 

Cover for Analytic Properties of Feynman Diagrams in Quantum Field Theory

Authors:

I.T. TODOROV

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Book description

Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book ... read full description

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  2. Book chapterNo access

    Introduction

    Pages 1-12

  3. Book chapterAbstract only

    CHAPTER 1 - The Quadratic Form of a Feynman Diagram

    Pages 13-38

  4. Book chapterAbstract only

    CHAPTER 2 - Majorization of Feynman Diagrams

    Pages 39-71

  5. Book chapterAbstract only

    CHAPTER 3 - Derivation of Spectral Representations and of Dispersion Relations

    Pages 72-97

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    CHAPTER 4 - The Surface of Singularities of a Feynman Diagram. What else can we Learn from the Box Diagram?

    Pages 98-139

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    References

    Pages 140-149

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    Index

    Pages 151-152

About the book

Description

Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book is an elementary presentation of a self-contained exposition of the majorization method used in the study of these graphs. The author has taken the intermediate position between Eden et al. who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. The book starts with the definition of the quadratic form of a Feynman diagram, and then explains the majorization of Feynman diagrams. The book describes the derivation of spectral representations, the dispersion relations for the nucleon-nucleon scattering amplitude, and for the corresponding partial wave amplitude. The text then analyzes the surface of singularities of a Feynman diagram with notes explaining the Cutkosky rules of the Mandelstam representation for the box diagram. This text is ideal for mathematicians, physicists dealing with quantum theory and mechanics, students, and professors in advanced mathematics.

Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book is an elementary presentation of a self-contained exposition of the majorization method used in the study of these graphs. The author has taken the intermediate position between Eden et al. who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. The book starts with the definition of the quadratic form of a Feynman diagram, and then explains the majorization of Feynman diagrams. The book describes the derivation of spectral representations, the dispersion relations for the nucleon-nucleon scattering amplitude, and for the corresponding partial wave amplitude. The text then analyzes the surface of singularities of a Feynman diagram with notes explaining the Cutkosky rules of the Mandelstam representation for the box diagram. This text is ideal for mathematicians, physicists dealing with quantum theory and mechanics, students, and professors in advanced mathematics.

Details

ISBN

978-0-08-016544-8

Language

English

Published

1971

Copyright

Copyright © 1971 Elsevier Ltd. All rights reserved.

Imprint

Pergamon

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Authors

I.T. TODOROV