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Stack, John D. Wensley, Roy James 2011-05-07T12:50:31Z 2011-05-07T12:50:31Z 10000-01-01 1989 In this thesis, I describe calculations done in $U(1)$ lattice gauge theory. After reviewing general concepts for doing calculations using quantum field theory on a space-time lattice, I discuss the presence of topological objects, which correspond to local minima of the action. These topological objects are identified as magnetic monopoles. Using configurations of monopoles identified in gauge field simulations in four dimensions, I study the behavior of the monopoles near the confinement-deconfinement transition. In order to understand how quantitative calculations may be performed using the monopoles, I have performed numerical simulations of the gauge fields in three dimensions and extracted monopole configurations. Using a calculational scheme developed in this thesis, these monopole configurations are used to calculate the static potential between two quarks. The results are compared with answers obtained using semi-classical methods. Made available in DSpace on 2011-05-07T12:50:31Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9011073.pdf: 3041832 bytes, checksum: c6f7f4206ccaabf292c1b053d3e33d55 (MD5) Previous issue date: 1989 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:46:35Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:20:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9011073 (UMI)AAI9011073 http://hdl.handle.net/2142/20829 eng Copyright 1989 Wensley, Roy James Physics, Elementary Particles and High Energy Monopoles and U(1) lattice gauge theory text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.