{"id":{"repo_id":"buffalo","oai_identifier":"oai:ubir.buffalo.edu:10477/79884"},"canonical_url":"https://search.dev.ndltd.org/etd/buffalo/oai:ubir.buffalo.edu:10477/79884","repository":{"repo_id":"buffalo","name":"Buffalo","base_url":"https://ubir.buffalo.edu/oai/request"},"display":{"title":"Mass Gap in Weakly Coupled Abelian Higgs on a Unit Lattice","abstract":"Ph.D.","abstract_html":"Ph.D.","abstract_has_math":false,"creators":["Goswami, Abhishek"],"institution":"State University of New York at Buffalo","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Dimock, Jonathan","Physics"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-07-30T15:10:45Z","date_published":"2019-07-30T15:10:45Z","updated_at":"2026-07-27T19:05:19Z","subjects":["physics"],"languages":["eng"],"rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10477/79884","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dimock, Jonathan","Physics"]},{"key":"dc:creator","label":"Author","values":["Goswami, Abhishek"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-07-30T15:10:45Z","2019","2019-05-02 16:40:33"]},{"key":"dc:publisher","label":"Institution","values":["State University of New York at Buffalo"]},{"key":"dc:type","label":"Dc Type","values":["Text","Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["physics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/10477/79884"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Ph.D.","We study the problem of mass generation in particle physics. In the Standard Model, the interaction of a particle with the Higgs boson is responsible for its mass generation, known as the Higgs mechanism. Our model is a weakly coupled Abelian Higgs theory on a unit lattice in space-time dimensions d greater than equal to 2. We give a rigorous, non - perturbative proof of the Higgs mechanism by establishing a mass gap in this model. We apply a new power series cluster expansion and show the existence of a mass gap for the observable electromagnetic field-strength tensor. Our method provides a simple and clean alternative to the decoupling clusterexpansions."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Mass Gap in Weakly Coupled Abelian Higgs on a Unit Lattice"]}]}],"canonical_facts":{"dc:contributor":["Dimock, Jonathan","Physics"],"dc:creator":["Goswami, Abhishek"],"dc:date":["2019-07-30T15:10:45Z","2019","2019-05-02 16:40:33"],"dc:description":["Ph.D.","We study the problem of mass generation in particle physics. In the Standard Model, the interaction of a particle with the Higgs boson is responsible for its mass generation, known as the Higgs mechanism. Our model is a weakly coupled Abelian Higgs theory on a unit lattice in space-time dimensions d greater than equal to 2. We give a rigorous, non - perturbative proof of the Higgs mechanism by establishing a mass gap in this model. We apply a new power series cluster expansion and show the existence of a mass gap for the observable electromagnetic field-strength tensor. Our method provides a simple and clean alternative to the decoupling clusterexpansions."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/10477/79884"],"dc:language":["eng"],"dc:publisher":["State University of New York at Buffalo"],"dc:rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"dc:subject":["physics"],"dc:title":["Mass Gap in Weakly Coupled Abelian Higgs on a Unit Lattice"],"dc:type":["Text","Dissertation"]},"updated_at":"2026-07-27T19:05:19Z"}