{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19617"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19617","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Numerical tests of dual superconductivity in non-abelian lattice gauge theories","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Neiman, Steven David"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Kogut, John B."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:13:11Z","date_published":"2011-05-07T12:13:11Z","updated_at":"2026-07-22T22:25:14Z","subjects":["Physics, Electricity and Magnetism","Physics, Elementary Particles and High Energy"],"languages":["eng"],"rights":["Copyright 1996 Neiman, Steven David"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9625170","(UMI)AAI9625170"],"render_values":[{"text":"AAI9625170","href":null,"code":true},{"text":"(UMI)AAI9625170","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19617","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kogut, John B."]},{"key":"dc:creator","label":"Author","values":["Neiman, Steven David"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:13:11Z","10000-01-01","1996"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Electricity and Magnetism","Physics, Elementary Particles and High Energy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1996 Neiman, Steven David"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9625170","(UMI)AAI9625170","http://hdl.handle.net/2142/19617"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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"]},{"key":"dc:title","label":"Title","values":["Numerical tests of dual superconductivity in non-abelian lattice gauge theories"]}]}],"canonical_facts":{"dc:contributor":["Kogut, John B."],"dc:creator":["Neiman, Steven David"],"dc:date":["2011-05-07T12:13:11Z","10000-01-01","1996"],"dc:description":["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). 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