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General Methods for Analyzing Higgs Potentials

Citation

Kim, Jai Sam (1982) General Methods for Analyzing Higgs Potentials. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RAFF-A683. https://resolver.caltech.edu/CaltechTHESIS:07122018-154521178

Abstract

This thesis is based on several papers published by the author and some more work to be published. We explain the technical problem of minimizing Higgs potentials using group theoretical concepts. Three mathematical results which belong to distinct areas are used to analyze the Higgs potential in an abstract way. The problem reduces to one of finding "contours" of directional minima and thus our method is geometrical. It is explained in detail and demonstrated for some simple cases. We show that the Michel-Radicati conjecture and the Gell-Mann-Slansky conjecture have geometrical significance besides predicting the most likely symmetry groups of the absolute minimum of the potential. We also apply the method to a non-monotonic potential.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics, Higgs potential, Symmetry Breaking, Orbit space
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Gell-Mann, Murray
Thesis Committee:
  • Gell-Mann, Murray (chair)
  • Frautschi, Steven C.
  • Pine, Jerome
  • Koonin, Steven E.
Defense Date:4 May 1982
Non-Caltech Author Email:jsk (AT) postech.ac.kr
Record Number:CaltechTHESIS:07122018-154521178
Persistent URL:https://resolver.caltech.edu/CaltechTHESIS:07122018-154521178
DOI:10.7907/RAFF-A683
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11118
Collection:CaltechTHESIS
Deposited By: Melissa Ray
Deposited On:16 Jul 2018 23:06
Last Modified:21 Dec 2019 03:59

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