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.)) |
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| 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): |
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| Thesis Committee: |
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| 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: | Mel Ray |
| Deposited On: | 16 Jul 2018 23:06 |
| Last Modified: | 21 Dec 2019 03:59 |
Thesis Files
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