Some aspects of non-Abelian gauge theories

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Tyburski, Lawrence Joseph

Contributors dc:contributor

• Chang, Shau-Jin

• non-Abelian gauge theories
• fermion-fermion scattering
• gauge symmetry
• perturbation theory

Statement dc:rights

• 1976 Lawrence Joseph Tyburski

Language dc:language

en

Identifier

2445713

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/25650