{"id":{"repo_id":"mississippi","oai_identifier":"oai:egrove.olemiss.edu:etd-1115"},"canonical_url":"https://search.dev.ndltd.org/etd/mississippi/oai:egrove.olemiss.edu:etd-1115","repository":{"repo_id":"mississippi","name":"University of Mississippi","base_url":"https://egrove.olemiss.edu/do/oai/"},"display":{"title":"The Legendre Transform of the Holst Action","abstract":"I start with a short introduction on 3+1 ADM form and the tetrad form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's connection form directly from this action by doing the Legendre transformation rather than by a canonical transformation in the usual phase space. This is done in both Remmanian signature with half-flat connection and Lorentz signature with general Barbero-Immirzi parameter.","abstract_html":"I start with a short introduction on 3+1 ADM form and the tetrad form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's connection form directly from this action by doing the Legendre transformation rather than by a canonical transformation in the usual phase space. This is done in both Remmanian signature with half-flat connection and Lorentz signature with general Barbero-Immirzi parameter.","abstract_has_math":false,"creators":["Gao, Caixia"],"institution":null,"degree_name":"M.S. in Physics","degree_level":"Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Luca Bombelli","Alakabha Datta","Marco Cavaglia"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-01-01T08:00:00Z","date_published":"2012-01-01T08:00:00Z","updated_at":"2026-07-24T03:05:15Z","subjects":["3+1 Decomposition","Hamiltonian","Holst Action","Legendre Transformation","Loop Quantum Gravity","Quantum Gravity","Astrophysics and Astronomy"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://egrove.olemiss.edu/etd/116","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Luca Bombelli","Alakabha Datta","Marco Cavaglia"]},{"key":"dc:creator","label":"Author","values":["Gao, Caixia"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2019-01-01T08:00:00Z"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S. in Physics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["3+1 Decomposition","Hamiltonian","Holst Action","Legendre Transformation","Loop Quantum Gravity","Quantum Gravity","Astrophysics and Astronomy"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://egrove.olemiss.edu/etd/116"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["I start with a short introduction on 3+1 ADM form and the tetrad form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's connection form directly from this action by doing the Legendre transformation rather than by a canonical transformation in the usual phase space. This is done in both Remmanian signature with half-flat connection and Lorentz signature with general Barbero-Immirzi parameter."]},{"key":"dc:title","label":"Title","values":["The Legendre Transform of the Holst Action"]}]}],"canonical_facts":{"dc:contributor":["Luca Bombelli","Alakabha Datta","Marco Cavaglia"],"dc:creator":["Gao, Caixia"],"dc:date.available":["2019-01-01T08:00:00Z"],"dc:description.abstract":["I start with a short introduction on 3+1 ADM form and the tetrad form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's connection form directly from this action by doing the Legendre transformation rather than by a canonical transformation in the usual phase space. This is done in both Remmanian signature with half-flat connection and Lorentz signature with general Barbero-Immirzi parameter."],"dc:identifier":["https://egrove.olemiss.edu/etd/116"],"dc:subject":["3+1 Decomposition","Hamiltonian","Holst Action","Legendre Transformation","Loop Quantum Gravity","Quantum Gravity","Astrophysics and Astronomy"],"dc:title":["The Legendre Transform of the Holst Action"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S. in Physics"]},"updated_at":"2026-07-24T03:05:15Z"}