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Title:Semiclassical Methods in Field Theories: The Use of Soliton and Instanton
Author(s):Hsu, Yupai
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Physics, Elementary Particles and High Energy
Abstract:The first part of this thesis is to study how solitons interact among themselves in Sine-Gordon system. We translate the information encoded in various known soliton solutions such as scattering time delays and oscillation periods into that of the corresponding quantities in particle dynamics. We examine different points of view for obtaining the interaction potentials. We then quantize the effective potentials and compare the mass spectrum with that obtained from the path integral approximation. The second part of this thesis concerns with the instanton physics in Sigma model and in nonabelian gauge theory. An instanton solution defines a dominant collective coordinate. By considering only the quantum physics along these coordinates (a good approximation in weak coupling limit), we can reduce a complicated field theory problem to a simple Schrodinger type problem. We study the interaction among instantons, examine the dilute gas limit assumption, and compute the vacuum state wave functionals and eigen-energies. We also study the method to generate envelope solutions out of a family of existing instanton solutions.
Issue Date:1980
Type:Text
Language:English
Description:148 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980.
URI:http://hdl.handle.net/2142/77195
Other Identifier(s):(UMI)AAI8108546
Date Available in IDEALS:2015-05-13
Date Deposited:1980


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