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Hamiltonian treatment of the (2+1)-dimensional Yang-Mills theory

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Title: Hamiltonian treatment of the (2+1)-dimensional Yang-Mills theory
Author: Brits, Lionel
Degree Master of Science - MSc
Program Physics
Copyright Date: 2007
Abstract: The (2+l)-dimensional Yang-Mills theory is studied in the functional Schrödinger formalism using the machinery laid out by Karabali and Nair. The low-lying spectrum of the theory is computed by analyzing correlators of the Leigh-Minic-Yelnikov ground-state wave-functional in the Abelian limit. The contribution of the WZW measure is treated by a controlled approximation and the resulting spectrum is shown to reduce to that obtained by Leigh et al., at large momentum. The inclusion of fundamental Fermions is done from first-principles, and it is found that the requirement of gauge invariance spoils the commutativity between gauge and matter fields.
URI: http://hdl.handle.net/2429/31435
Series/Report no. UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
Scholarly Level: Graduate

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