{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23132"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23132","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A study of the chiral phase transition in the nonlinear sigma model","abstract":"The finite temperature chiral phase transition is studied using the three dimensional non-linear sigma model. Numerical simulations with the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries for both two and three flavors were examined to determine the order of the phase transition. The data from the simulations in the appropriate limits was verified with calculations from the strong and weak coupling expansions. A variety of numerical techniques, including metastability analysis, reduced cumulant of the energy, and finite sized scaling were employed to determine the transition for both flavors using the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries. The results of these simulations for the finite temperature chiral phase transition and chiral symmetry restoration are summarized, and a discussion of the implications for heavy-ion collider physics and cosmology is presented.","abstract_html":"The finite temperature chiral phase transition is studied using the three dimensional non-linear sigma model. Numerical simulations with the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries for both two and three flavors were examined to determine the order of the phase transition. The data from the simulations in the appropriate limits was verified with calculations from the strong and weak coupling expansions. A variety of numerical techniques, including metastability analysis, reduced cumulant of the energy, and finite sized scaling were employed to determine the transition for both flavors using the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries. The results of these simulations for the finite temperature chiral phase transition and chiral symmetry restoration are summarized, and a discussion of the implications for heavy-ion collider physics and cosmology is presented.","abstract_has_math":true,"creators":["Dreher, Patrick"],"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":"2011-05-07T14:03:18Z","date_published":"2011-05-07T14:03:18Z","updated_at":"2026-07-22T22:25:21Z","subjects":["Physics, Elementary Particles and High Energy"],"languages":["eng"],"rights":["Copyright 1991 Dreher, Patrick"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9210788","(UMI)AAI9210788"],"render_values":[{"text":"AAI9210788","href":null,"code":true},{"text":"(UMI)AAI9210788","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23132","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":["Dreher, Patrick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T14:03:18Z","10000-01-01","1991"]},{"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, 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 1991 Dreher, Patrick"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9210788","(UMI)AAI9210788","http://hdl.handle.net/2142/23132"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The finite temperature chiral phase transition is studied using the three dimensional non-linear sigma model. Numerical simulations with the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries for both two and three flavors were examined to determine the order of the phase transition. The data from the simulations in the appropriate limits was verified with calculations from the strong and weak coupling expansions. A variety of numerical techniques, including metastability analysis, reduced cumulant of the energy, and finite sized scaling were employed to determine the transition for both flavors using the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries. The results of these simulations for the finite temperature chiral phase transition and chiral symmetry restoration are summarized, and a discussion of the implications for heavy-ion collider physics and cosmology is presented.","Made available in DSpace on 2011-05-07T14:03:18Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9210788.pdf: 3568495 bytes, checksum: 1db7008832fa317b012ae29b2ae4fc9e (MD5) Previous issue date: 1991","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:02:23Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:29:40-05:00 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":["A study of the chiral phase transition in the nonlinear sigma model"]}]}],"canonical_facts":{"dc:contributor":["Kogut, John B."],"dc:creator":["Dreher, Patrick"],"dc:date":["2011-05-07T14:03:18Z","10000-01-01","1991"],"dc:description":["The finite temperature chiral phase transition is studied using the three dimensional non-linear sigma model. Numerical simulations with the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries for both two and three flavors were examined to determine the order of the phase transition. The data from the simulations in the appropriate limits was verified with calculations from the strong and weak coupling expansions. A variety of numerical techniques, including metastability analysis, reduced cumulant of the energy, and finite sized scaling were employed to determine the transition for both flavors using the U(N) $\\times$ U(N) and SU(N) $\\times$ SU(N) flavor symmetries. The results of these simulations for the finite temperature chiral phase transition and chiral symmetry restoration are summarized, and a discussion of the implications for heavy-ion collider physics and cosmology is presented.","Made available in DSpace on 2011-05-07T14:03:18Z (GMT). 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