University of Illinois Urbana-Champaign

Some non-perturbative results in relativistic field theory

Magruder, Steven Frederick

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https://hdl.handle.net/2142/25598

Description

Title
Some non-perturbative results in relativistic field theory
Author(s)
Magruder, Steven Frederick
Issue Date
1978
Doctoral Committee Chair(s)
Chang, Shau-Jin
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • relativistic field theory
  • non-perturbative results
  • strong coupling limit
  • quantum field theory
Language
en
Abstract
This thesis contains the descriptions of two new non-perturbative results in relativistic field theory. The first part of the thesis describes a transformation which can be used to relate the strong coupling limit of the (theta 4)3 quantum field theory to the weak coupling limit of the same theory. This transformation can be used to show the existence of a phase transition in the above theory as the coupling constant is increased with the mass parameter held fixed. The derivation of the transformation involves Zimmerman normal operator techniques. The second part of the thesis describes a variational calculation of the classical interactions of 't Hooft monopoles. These interactions are interesting because 't Hooft monopoles appear as instantons in the Georgi-Glashow theory of weak and electromagnetic interactions. The interactions of the instantons are directly related to the question of confinement of the fermions in this theory.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/25598
Copyright and License Information
1978 Steven Frederick Magruder

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