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Non-Abelian discrete gauge theory


Lee, Kai-Ming (1994) Non-Abelian discrete gauge theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KCB0-S712.


Gauge theory with a finite gauge group (or with a gauge group that has disconnected components) is systematically studied, with emphasis on the case of a non-Abelian gauge group. An operator formalism is developed, and an order parameter is constructed that can distinguish the various phases of a gauge theory. The non-Abelian Aharonov-Bohm interactions and holonomy interactions among cosmic string loops, vortices, and charged particles are analyzed; the detection of Cheshire charge and the transfer of charge between particles and string loops (or vortex pairs) are described. Non-Abelian gauge theory on a surface with non-trivial topology is also discussed. Interactions of vortices with "handles" on the surface are discussed in detail. The electric charge of the mouth of a "wormhole" and the magnetic flux "linked" by the wormhole are shown to be non-commuting observables. This observation is used to analyze the color electric field that results when a colored object traverses a wormhole.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Preskill, John P.
Group:Caltech Theory
Thesis Committee:
  • Unknown, Unknown
Defense Date:20 May 1994
Record Number:CaltechETD:etd-12082008-094212
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4881
Deposited By: Imported from ETD-db
Deposited On:08 Dec 2008
Last Modified:21 Dec 2019 01:43

Thesis Files

PDF (Lee_km_1994.pdf) - Final Version
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