{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80667"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80667","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Spatial Structure of the Composite Particles in the 2 + 1 Dimensional U(1) Four-Fermi Model at Finite Chemical Potential","abstract":"I examined the chiral phase transition in a 2 + 1 dimensional, U(1) symmetric, four-fermi model at finite chemical potential and zero temperature. The spatial structure (form factor) of the composite particle formed as a result of the breaking of the chiral symmetry is calculated under the 1/N approximation and is measured on the lattice. The shape and average size of the composite particle is derived from the form factor measurement. It is found that the correlation between the quark and antiquark that comprise the composite particle developed Friedel-type oscillation when the chiral symmetry is restored. The study is of interest to the physics of hadrons at finite density (chemical potential).","abstract_html":"I examined the chiral phase transition in a 2 + 1 dimensional, U(1) symmetric, four-fermi model at finite chemical potential and zero temperature. The spatial structure (form factor) of the composite particle formed as a result of the breaking of the chiral symmetry is calculated under the 1/N approximation and is measured on the lattice. The shape and average size of the composite particle is derived from the form factor measurement. It is found that the correlation between the quark and antiquark that comprise the composite particle developed Friedel-type oscillation when the chiral symmetry is restored. The study is of interest to the physics of hadrons at finite density (chemical potential).","abstract_has_math":false,"creators":["Tran, Thao Nguyen"],"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":2015,"date_issued":"2015-09-25T20:03:31Z","date_published":"2015-09-25T20:03:31Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Elementary Particles and High Energy"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9921749"],"render_values":[{"text":"(MiAaPQ)AAI9921749","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80667","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":["Tran, Thao Nguyen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:31Z","10000-01-01","1999"]},{"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"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80667","(MiAaPQ)AAI9921749"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["I examined the chiral phase transition in a 2 + 1 dimensional, U(1) symmetric, four-fermi model at finite chemical potential and zero temperature. The spatial structure (form factor) of the composite particle formed as a result of the breaking of the chiral symmetry is calculated under the 1/N approximation and is measured on the lattice. The shape and average size of the composite particle is derived from the form factor measurement. It is found that the correlation between the quark and antiquark that comprise the composite particle developed Friedel-type oscillation when the chiral symmetry is restored. The study is of interest to the physics of hadrons at finite density (chemical potential).","Made available in DSpace on 2015-09-25T20:03:31Z (GMT). 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The spatial structure (form factor) of the composite particle formed as a result of the breaking of the chiral symmetry is calculated under the 1/N approximation and is measured on the lattice. The shape and average size of the composite particle is derived from the form factor measurement. It is found that the correlation between the quark and antiquark that comprise the composite particle developed Friedel-type oscillation when the chiral symmetry is restored. The study is of interest to the physics of hadrons at finite density (chemical potential).","Made available in DSpace on 2015-09-25T20:03:31Z (GMT). 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