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Dualities, Helicity Amplitudes, and Little Conformal Symmetry

  • Book
  • © 2017

Overview

Authors:
  1. Kitran Macey M. Colwell

    1. Physics, Diablo Valley College, Pleasant Hill, USA

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  • Nominated as an outstanding Ph.D. thesis by the University of California, Davis
  • Applies recent discoveries connecting helicity amplitudes and gauge theory to the study of theories with both electric and magnetic charges
  • Presents new insight into low-energy limit of nonsupersymmetric gauge theories
  • Uses conformal symmetry to investigate the hierarchy problem of the standard model Higgs mechanism
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xv
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  2. Electromagnetic Duality

    • Kitran Macey M. Colwell
    Pages 1-28

  3. Spinor Helicity Formalism

    • Kitran Macey M. Colwell
    Pages 29-35

  4. Non-Abelian Monopoles

    • Kitran Macey M. Colwell
    Pages 37-45

  5. Scattering Amplitudes

    • Kitran Macey M. Colwell
    Pages 47-71

  6. Little Conformal Symmetry

    • Kitran Macey M. Colwell
    Pages 73-82

  7. Back Matter

    Pages 83-107
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Keywords

About this book

This book develops two exciting areas of particle physics research. It applies the recent new insights about the usefulness of helicity amplitudes in understanding gauge theory to the long-standing effort to understand theories with both electric and magnetic charges. It is known that for some supersymmetric theories there is an exact duality that relates two descriptions of the physics, one where the electric charges are weakly coupled and another where the electric charges are strongly coupled. The calculations in this thesis suggest that this duality can also hold in the low-energy limit of nonsupersymmetric gauge theories. The idea of addressing the hierarchy problem of the standard model Higgs mechanism using conformal symmetry is also explored. Analogously to “Little Higgs” models, where divergences are cancelled only at one-loop order, models are studied that have infrared conformal fixed points which related gauge and Yukawa couplings, allowing for a cancellation between seemingly unrelated quantum loop diagrams.

Authors and Affiliations

  • Physics, Diablo Valley College, Pleasant Hill, USA

    Kitran Macey M. Colwell

About the author

Dr. Kitran Colwell received a Ph.D. in Physics from the University of California, Davis in 2016, and now has a position at Diablo Valley College, California.

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