{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80634"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80634","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Relativistic and Non-Relativistic Holography","abstract":"Holography is one of the most interesting developments in String theory in the past few years. In this thesis, we discuss various aspects of the correspondence at the phenomenological and conceptual levels. At the phenomenological level, holographic duals of strong coupling QCD-like boundary theories is constructed using intersecting D-branes configurations Dq-Dp -Dp, in which the Dp's are probe branes under Dq's background geometry. Confinement, chiral symmetry phase transitions and their relation are carefully studied for various values of q, p and other parameters of the system. In terms of discrete symmetry, introducing torsion by adding the Nieh-Yan term (with space-time dependent coefficient) into 3+1 Einstein-Hilbert gravity is postulated to correspond to parity symmetry breaking in the boundary. A solitonic solution, which we call the torsion vortex as it resembles in many ways the Abrikosov vortex, is found in the bulk and believed to be dual to the parity breaking vacuum of the boundary theory. At the conceptual level, we deliberately tackle the boundary condition, variational principle and renormalization problems in non-relativistic holography. The systematic boundary condition formalism of Skenderis and Van Rees is extended to scalar field in Schr¨odinger space-time. In the same background, variational principle and renormalization procedures are constructed for fermions and vector fields, paying careful attention to the representation theory of the Schr¨odinger group. In any cases, 2-point functions for the dual operators are computed for various values of the parameter spaces.","abstract_html":"Holography is one of the most interesting developments in String theory in the past few years. In this thesis, we discuss various aspects of the correspondence at the phenomenological and conceptual levels. At the phenomenological level, holographic duals of strong coupling QCD-like boundary theories is constructed using intersecting D-branes configurations Dq-Dp -Dp, in which the Dp's are probe branes under Dq's background geometry. Confinement, chiral symmetry phase transitions and their relation are carefully studied for various values of q, p and other parameters of the system. In terms of discrete symmetry, introducing torsion by adding the Nieh-Yan term (with space-time dependent coefficient) into 3+1 Einstein-Hilbert gravity is postulated to correspond to parity symmetry breaking in the boundary. A solitonic solution, which we call the torsion vortex as it resembles in many ways the Abrikosov vortex, is found in the bulk and believed to be dual to the parity breaking vacuum of the boundary theory. At the conceptual level, we deliberately tackle the boundary condition, variational principle and renormalization problems in non-relativistic holography. The systematic boundary condition formalism of Skenderis and Van Rees is extended to scalar field in Schr¨odinger space-time. In the same background, variational principle and renormalization procedures are constructed for fermions and vector fields, paying careful attention to the representation theory of the Schr¨odinger group. In any cases, 2-point functions for the dual operators are computed for various values of the parameter spaces.","abstract_has_math":false,"creators":["Hoang, Nam Nguyen"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Robert Leigh","Scott Willenbrock"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:23Z","date_published":"2015-09-25T20:03:23Z","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)AAI3452244"],"render_values":[{"text":"(MiAaPQ)AAI3452244","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80634","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Robert Leigh","Scott Willenbrock"]},{"key":"dc:creator","label":"Author","values":["Hoang, Nam Nguyen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:23Z","10000-01-01","2010"]},{"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/2142/80634","(MiAaPQ)AAI3452244"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Holography is one of the most interesting developments in String theory in the past few years. 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At the conceptual level, we deliberately tackle the boundary condition, variational principle and renormalization problems in non-relativistic holography. The systematic boundary condition formalism of Skenderis and Van Rees is extended to scalar field in Schr¨odinger space-time. In the same background, variational principle and renormalization procedures are constructed for fermions and vector fields, paying careful attention to the representation theory of the Schr¨odinger group. In any cases, 2-point functions for the dual operators are computed for various values of the parameter spaces.","Made available in DSpace on 2015-09-25T20:03:23Z (GMT). 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In this thesis, we discuss various aspects of the correspondence at the phenomenological and conceptual levels. At the phenomenological level, holographic duals of strong coupling QCD-like boundary theories is constructed using intersecting D-branes configurations Dq-Dp -Dp, in which the Dp's are probe branes under Dq's background geometry. Confinement, chiral symmetry phase transitions and their relation are carefully studied for various values of q, p and other parameters of the system. In terms of discrete symmetry, introducing torsion by adding the Nieh-Yan term (with space-time dependent coefficient) into 3+1 Einstein-Hilbert gravity is postulated to correspond to parity symmetry breaking in the boundary. A solitonic solution, which we call the torsion vortex as it resembles in many ways the Abrikosov vortex, is found in the bulk and believed to be dual to the parity breaking vacuum of the boundary theory. At the conceptual level, we deliberately tackle the boundary condition, variational principle and renormalization problems in non-relativistic holography. The systematic boundary condition formalism of Skenderis and Van Rees is extended to scalar field in Schr¨odinger space-time. In the same background, variational principle and renormalization procedures are constructed for fermions and vector fields, paying careful attention to the representation theory of the Schr¨odinger group. In any cases, 2-point functions for the dual operators are computed for various values of the parameter spaces.","Made available in DSpace on 2015-09-25T20:03:23Z (GMT). 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