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http://hdl.handle.net/2142/25650 en 1976 Lawrence Joseph Tyburski non-Abelian gauge theories fermion-fermion scattering gauge symmetry perturbation theory Some aspects of non-Abelian gauge theories Dissertation / Thesis text Chang, Shau-Jin Tyburski, Lawrence Joseph 2011-07-05T16:42:52Z 2011-07-05T16:42:52Z 10000-01-01 1976 In this thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling constant. We keep only the leading logarithmic terms in each order of perturbation theory. To avoid the infrared problem, the Higgs mechanism is invoked to give masses to the vector bosons of the theory. lye find that the scattering amplitude exponentiates to a Regge form. This result is qualitatively different from an earlier published calculation. In the second part of the thesis, we consider fermion-fermion scattering in a non-Abelian gauge theory with massless vector bosons, and demonstrate that for physically measurable cross sections the infrared divergences,of the theory cancel out to lowest non-trivial order. Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-05T16:42:52Z No. of bitstreams: 1 1976_tyburski.pdf: 2646792 bytes, checksum: 95e01c35c54602fb004d8a3ff1d768d6 (MD5) Made available in DSpace on 2011-07-05T16:42:52Z (GMT). No. of bitstreams: 1 1976_tyburski.pdf: 2646792 bytes, checksum: 95e01c35c54602fb004d8a3ff1d768d6 (MD5) Previous issue date: 1976 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-05T16:42:53Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:32:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis Thesis U of I Only 2445713 Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.