CaltechTHESIS
  A Caltech Library Service

Topics in Grand Unified Theories: i) The Naturalness Problem. ii) Monopoles and Fermion Number Violation

Citation

Sathiapalan, Balachandran (1983) Topics in Grand Unified Theories: i) The Naturalness Problem. ii) Monopoles and Fermion Number Violation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/m0cj-7n28. https://resolver.caltech.edu/CaltechTHESIS:10232019-171800698

Abstract

This dissertation consists of two parts. The first part contains a discussion of the 'fine-tuning' and 'naturalness ' problems in grand unified theories. It is argued that, while it is impossible to solve these problems in conventional theories which contain scalars, supersymmetric theories that require no fine tuning can be constructed. In these theories the problem reduces to that of obtaining a light Higgs doublet at the tree level, without any unnatural adjustment of parameters. A realistic supersymmetric grand unified theory that has this feature is constructed. It is based on the gauge group SO(10). Supersymmetry is explicitly broken through terms of dimension two.

The second part is an analysis of the interaction of fermions with a non-Abelian ('t Hooft-Polyakov) monopole. Monopoles are invariably present in grand unified theories, and recent studies with massless isospin half fermions have shown that monopoles catalyse fermion number violation. We show that this phenomenon can be described in simple terms using the language of instanton physics. This description also permits a straightforward extension of previous results to arbitrary fermion representations. The importance of half-integer winding numbers is stressed. An explicit calculation is done in the case of isovector fermions.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Frautschi, Steven C.
Thesis Committee:
  • Schwarz, John H.
  • Barish, Barry C.
  • Blandford, Roger D.
  • Frautschi, Steven C.
Defense Date:24 May 1983
Additional Information:The thesis title listed in 1983 commencement program -- Topics in Grand Unified Theories: I. The Naturalness Problem. II. Monopoles and Fermion Number Violation -- varies from actual thesis.
Record Number:CaltechTHESIS:10232019-171800698
Persistent URL:https://resolver.caltech.edu/CaltechTHESIS:10232019-171800698
DOI:10.7907/m0cj-7n28
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11854
Collection:CaltechTHESIS
Deposited By: Melissa Ray
Deposited On:24 Oct 2019 00:36
Last Modified:16 Apr 2021 22:31

Thesis Files

[img]
Preview
PDF - Final Version
See Usage Policy.

33MB

Repository Staff Only: item control page