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Kogut, John B. Neiman, Steven David 2011-05-07T12:13:11Z 2011-05-07T12:13:11Z 10000-01-01 1996 In this thesis, I describe numerical tests of the dual superconductivity hypothesis. After outlining the lattice gauge theory framework used in these calculations, I review the history of magnetic monopoles and dual superconductivity. The calculational procedure for determining the part of the quark-antiquark potential produced by magnetic currents is then developed. The computer algorithms required to perform these numerical tests are then discussed as well as the results of the project. Finally, I present further supporting evidence involving propagators, modified actions, and the finite temperature transition before ending with the future work that needs to be done in this area. The conclusion of this work is that an abelian sectioning process can effectively organize the long range degrees of freedom in the non-abelian gauge fields into the abelian sector of the gauge fields. Once this occurs, non-perturbative objects like magnetic monopoles can then be identified using these extracted abelian fields. Moreover, it is shown that these magnetic monopoles produce the confining part of the static quark-antiquark potential, in accordance with the dual superconductivity hypothesis. Made available in DSpace on 2011-05-07T12:13:11Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9625170.pdf: 3783144 bytes, checksum: cb99baad9472ede03713effed318ce9f (MD5) Previous issue date: 1996 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:15Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:15:55-05:00 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 AAI9625170 (UMI)AAI9625170 http://hdl.handle.net/2142/19617 eng Copyright 1996 Neiman, Steven David Physics, Electricity and Magnetism Physics, Elementary Particles and High Energy Numerical tests of dual superconductivity in non-abelian lattice gauge theories text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.