Dualities, Helicity Amplitudes, and Little Conformal Symmetry

 
 
Springer (Verlag)
  • erschienen am 1. September 2018
 
  • Buch
  • |
  • Softcover
  • |
  • 124 Seiten
978-3-319-88423-3 (ISBN)
 
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.
Softcover reprint of the original 1st ed. 2017
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 10 s/w Abbildungen, 5 farbige Abbildungen, 94 farbige Tabellen
  • |
  • 94 Tables, color; 5 Illustrations, color; 10 Illustrations, black and white; XV, 107 p. 15 illus., 5 illus. in color.
  • Höhe: 235 mm
  • |
  • Breite: 155 mm
  • |
  • Dicke: 7 mm
  • 199 gr
978-3-319-88423-3 (9783319884233)
10.1007/978-3-319-67392-9
weitere Ausgaben werden ermittelt
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.
Chapter1. Electromagnetic Duality.- Chapter2. Spinor Helicity Formalism.- Chapter3. Non-Abelian Monopoles.- Chapter4. Scattering Amplitudes.- Chapter5. Little Conformal Symmetry.
This thesis 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.

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