{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/39413"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/39413","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Three-loop renormalization of Yang-Mills theory in background field gauge","abstract":"Quantization and renormalization of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term depending on the background field only is a renormalization constant times the square of the field strength of the background field, and the constant upon renormalization of the gauge parameter is independent of the gauge parameter. Finally, the three-loop contribution to the renormalization group β function of pure Yang-Mills theory is calculated in the background field gauge.","abstract_html":"Quantization and renormalization of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term depending on the background field only is a renormalization constant times the square of the field strength of the background field, and the constant upon renormalization of the gauge parameter is independent of the gauge parameter. Finally, the three-loop contribution to the renormalization group β function of pure Yang-Mills theory is calculated in the background field gauge.","abstract_has_math":false,"creators":["Trocsanyi, Zoltan L."],"institution":"Virginia Tech","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Physics","degree_department":"Physics","school":null,"contributors":[],"advisors":[],"committee_chairs":["Chang, Lay Nam"],"committee_members":[],"year":1990,"date_issued":"1990-12-05","date_published":"1990-12-05","updated_at":"2026-07-22T22:19:39Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-09202005-090956"],"render_values":[{"text":"etd-09202005-090956","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/39413","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Chang, Lay Nam"]},{"key":"dc:contributor.department","label":"Department","values":["Physics"]},{"key":"dc:creator","label":"Author","values":["Trocsanyi, Zoltan L."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:19:04Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:19:04Z","2005-09-20"]},{"key":"dc:date.issued","label":"Date","values":["1990-12-05"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-09202005-090956"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/39413"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Quantization and renormalization of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term depending on the background field only is a renormalization constant times the square of the field strength of the background field, and the constant upon renormalization of the gauge parameter is independent of the gauge parameter. Finally, the three-loop contribution to the renormalization group β function of pure Yang-Mills theory is calculated in the background field gauge."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["BTD"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Three-loop renormalization of Yang-Mills theory in background field gauge"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Chang, Lay Nam"],"dc:contributor.department":["Physics"],"dc:creator":["Trocsanyi, Zoltan L."],"dc:date.accessioned":["2014-03-14T21:19:04Z"],"dc:date.available":["2014-03-14T21:19:04Z","2005-09-20"],"dc:date.issued":["1990-12-05"],"dc:description.abstract":["Quantization and renormalization of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term depending on the background field only is a renormalization constant times the square of the field strength of the background field, and the constant upon renormalization of the gauge parameter is independent of the gauge parameter. Finally, the three-loop contribution to the renormalization group β function of pure Yang-Mills theory is calculated in the background field gauge."],"dc:description.degree":["Ph. D."],"dc:format.medium":["BTD"],"dc:format.mimetype":["application/pdf"],"dc:identifier.other":["etd-09202005-090956"],"dc:identifier.uri":["http://hdl.handle.net/10919/39413"],"dc:language.iso":["en"],"dc:publisher":["Virginia Tech"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Three-loop renormalization of Yang-Mills theory in background field gauge"],"dc:type":["Dissertation"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["doctoral"],"thesis:degree_name":["Ph. D."],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:19:39Z"}