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Scattering Amplitudes in Gauge Theory and Gravity


  • Date Published: February 2015
  • availability: In stock
  • format: Hardback
  • isbn: 9781107069251
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About the Authors
  • Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. It offers a smooth transition from basic knowledge of quantum field theory to the frontier of modern research. Building on basic quantum field theory, the book starts with an introduction to the spinor helicity formalism in the context of Feynman rules for tree-level amplitudes. The material covered includes on-shell recursion relations, superamplitudes, symmetries of N=4 super Yang–Mills theory, twistors and momentum twistors, Grassmannians, and polytopes. The presentation also covers amplitudes in perturbative supergravity, 3D Chern–Simons matter theories, and color-kinematics duality and its connection to 'gravity=(gauge theory)x(gauge theory)'. Basic knowledge of Feynman rules in scalar field theory and quantum electrodynamics is assumed, but all other tools are introduced as needed. Worked examples demonstrate the techniques discussed, and over 150 exercises help readers absorb and master the material.

    • Bridges the gap between a standard course in quantum field theory and recent fascinating developments in research
    • Features worked examples and over 150 exercises to help readers master the material
    • Explicit calculations illustrate the application of technical tools and help readers learn the subject
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    Reviews & endorsements

    'In recent years, a series of surprising insights and new methods have transformed the understanding of gauge and gravitational scattering amplitudes. These advances are important both for practical calculations in particle physics, and for the fundamental structure of relativistic quantum theory. Elvang and Huang have written the first comprehensive text on this subject, and their clear and pedagogical approach will make these new ideas accessible to a wide range of students.' Joseph Polchinski, University of California, Santa Barbara

    'This book provides a much-needed text covering modern techniques that have given radical new insights into the structure of quantum field theory. It gathers together a very large body of recent literature and presents it in a coherent style. The book should appeal to the wide body of researchers who wish to use quantum field theory as a tool for describing physical phenomena or who are intending to gain insight by studying its mathematical structure.' Michael B. Green, University of Cambridge

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    Customer reviews

    12th Jul 2015 by Sanmay

    The subject is modern and this book introduces the scattering amplitude in very lucid way. It starts from the basic notations of fermion fields as done in Srednickis QFT book and introduces the spinor relations for mass-less momenta. The sections are well described and contains small problems which are well designed. I have used this self contained book to learn the subject and found it quite useful.

    Review was not posted due to profanity


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    Product details

    • Date Published: February 2015
    • format: Hardback
    • isbn: 9781107069251
    • length: 323 pages
    • dimensions: 255 x 195 x 20 mm
    • weight: 0.89kg
    • contains: 137 b/w illus. 153 exercises
    • availability: In stock
  • Table of Contents

    1. Introduction
    Part I. Trees:
    2. Spinor helicity formalism
    3. On-shell recursion relations at tree-level
    4. Supersymmetry
    5. Symmetries of N = 4 SYM
    Part II. Loops:
    6. Loop amplitudes and generalized unitarity
    7. BCFW recursion for loops
    8. Leading singularities and on-shell diagrams
    Part III. Topics:
    9. Grassmannia
    10. Polytopes
    11. Amplitudes beyond four dimensions
    12. Supergravity amplitudes
    13. A colorful duality
    14. Further reading

  • Authors

    Henriette Elvang, University of Michigan, Ann Arbor
    Henriette Elvang is Associate Professor in the Department of Physics, University of Michigan. She has worked on various aspects of high energy theoretical physics, including black holes in string theory, scattering amplitudes, and the structure of gauge theories.

    Yu-tin Huang, National Taiwan University
    Yu-tin Huang is Assistant Professor at the National Taiwan University. He is known for his work in the study of scattering amplitudes beyond four dimensions, most notably in 3-dimensional Chern–Simons matter theory.

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