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Dualities, helicity amplitudes, and ...

Colwell, Kitran Macey M.

Dualities, helicity amplitudes, and little conformal symmetry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dualities, helicity amplitudes, and little conformal symmetryby Kitran Macey M. Colwell.
Author:	Colwell, Kitran Macey M.
Published:	Cham :Springer International Publishing :2017.
Description:	xv, 107 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Symmetry (Physics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-67392-9
ISBN:	9783319673929$q(electronic bk.)

Dualities, helicity amplitudes, and little conformal symmetry
Colwell, Kitran Macey M.

Dualities, helicity amplitudes, and little conformal symmetry[electronic resource] /by Kitran Macey M. Colwell. - Cham :Springer International Publishing :2017. - xv, 107 p. :ill., digital ;24 cm. - Springer theses, recognizing outstanding Ph.D. research,2190-5053. - Springer theses, recognizing outstanding Ph.D. research..

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.

ISBN: 9783319673929$q(electronic bk.)

Standard No.: 10.1007/978-3-319-67392-9doiSubjects--Topical Terms:

202528
Symmetry (Physics)

LC Class. No.: QC174.17.S9

Dewey Class. No.: 539.725

Dualities, helicity amplitudes, and little conformal symmetry
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520 $a 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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