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Chang, Shau-Jin Magruder, Steven Frederick 2011-06-30T15:40:28Z 2011-06-30T15:40:28Z 10000-01-01 1978 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. Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-30T15:40:28Z No. of bitstreams: 1 1978_magruder.pdf: 2716589 bytes, checksum: cb52efd50a22d2db229337ce90fdcea1 (MD5) Made available in DSpace on 2011-06-30T15:40:28Z (GMT). No. of bitstreams: 1 1978_magruder.pdf: 2716589 bytes, checksum: cb52efd50a22d2db229337ce90fdcea1 (MD5) Previous issue date: 1978 Restriction data tranferred 2014-07-01T11:32:29-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-30T15:40:28Z Item is restricted indefinitely. Thesis U of I Only 355900 http://hdl.handle.net/2142/25598 en 1978 Steven Frederick Magruder relativistic field theory non-perturbative results strong coupling limit quantum field theory Some non-perturbative results in relativistic field theory Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.