{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/31242"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/31242","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":null,"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":2012,"date_issued":"2012-05-25T15:58:26Z","date_published":"2012-05-25T15:58:26Z","updated_at":"2026-07-22T22:25:30Z","subjects":["hadron","chiral phase transition"],"languages":["en"],"rights":["©1999 Thao Nguyen Tran"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["4191934"],"render_values":[{"text":"4191934","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/31242","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":["2012-05-25T15:58:26Z","10000-01-01","1999"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["hadron","chiral phase transition"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["©1999 Thao Nguyen Tran"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["4191934","http://hdl.handle.net/2142/31242"]}]},{"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).","Submitted by Elizabeth Kent (eckent2@illinois.edu) on 2012-05-25T15:58:26Z No. of bitstreams: 1 1999_Tran.pdf: 2928144 bytes, checksum: b21973ed3a273708480372e7dccce71e (MD5)","Made available in DSpace on 2012-05-25T15:58:26Z (GMT). No. of bitstreams: 1 1999_Tran.pdf: 2928144 bytes, checksum: b21973ed3a273708480372e7dccce71e (MD5) Previous issue date: 1999","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Elizabeth Kent (eckent2@illinois.edu) on 2012-05-25T15:58:26Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:33:16-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: thesis","thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Spatial structure of the composite particles in the 2+1 dimensional U(1) four-fermi model at finite chemical potential"]}]}],"canonical_facts":{"dc:contributor":["Kogut, John B."],"dc:creator":["Tran, Thao Nguyen"],"dc:date":["2012-05-25T15:58:26Z","10000-01-01","1999"],"dc:description":["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).","Submitted by Elizabeth Kent (eckent2@illinois.edu) on 2012-05-25T15:58:26Z No. of bitstreams: 1 1999_Tran.pdf: 2928144 bytes, checksum: b21973ed3a273708480372e7dccce71e (MD5)","Made available in DSpace on 2012-05-25T15:58:26Z (GMT). No. of bitstreams: 1 1999_Tran.pdf: 2928144 bytes, checksum: b21973ed3a273708480372e7dccce71e (MD5) Previous issue date: 1999","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Elizabeth Kent (eckent2@illinois.edu) on 2012-05-25T15:58:26Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:33:16-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: thesis","thesis","U of I Only"],"dc:identifier":["4191934","http://hdl.handle.net/2142/31242"],"dc:language":["en"],"dc:rights":["©1999 Thao Nguyen Tran"],"dc:subject":["hadron","chiral phase transition"],"dc:title":["Spatial structure of the composite particles in the 2+1 dimensional U(1) four-fermi model at finite chemical potential"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:30Z"}