Citation
Bucher, Martin (1991) On the theory of nonAbelian vortices and cosmic strings. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd06132007131249
Abstract
The thesis deals with the theory of nonAbelian vortices in two spatial dimensions and cosmic strings in three spatial dimensions that arise when a nonAbelian gauge symmetry G is broken to a nonAbelian unbroken symmetry group H by the condensation of a Higgs field. The first part of the thesis discusses the case in which H is discrete. In this case all of the gauge bosons acquire a large mass; however, at low energies discretely charged particles experience nonAbelian AharonovBohm scattering off vortices, which can be used to measure the flux of the vortices. Vortices also experience nonAbelian AharonovBohm scattering with each other. When there are more than three vortices in a system, the AharonovBohm interaction, which is described by a path integral involving sums over elements of the braid group, becomes extremely complicated. The vortices are subject to a new kind of exotic statistics. The second part of the thesis discusses the physics that arises when the requirement that H be discrete is relaxed to allow H to have one continuous generator. The vortices or strings that result change the sign of the charge for charged particles. Loops of Alice string or pairs of vortices can carry charge without any apparent source. A quantization condition for the charge carried by such pairs and loops is derived. It is also found that loops of Alice string can carry magnetic charge and that topologically stable monopoles exist in any theory with Alice symmetry breaking.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Anyons, nonAbelian statistics, quantum statistics 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  13 September 1990 
NonCaltech Author Email:  bucher (AT) apc.univparis7.fr 
Record Number:  CaltechETD:etd06132007131249 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd06132007131249 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  2577 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  06 Jul 2007 
Last Modified:  05 May 2014 18:06 
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