{"id":"https://openalex.org/W2139258569","doi":"https://doi.org/10.48550/arxiv.1201.4092","title":"Covariant Extended Phase Space for Fields on Curved Background","display_name":"Covariant Extended Phase Space for Fields on Curved Background","publication_year":2012,"publication_date":"2012-01-19","ids":{"openalex":"https://openalex.org/W2139258569","doi":"https://doi.org/10.48550/arxiv.1201.4092","mag":"2139258569"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1201.4092","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1201.4092","pdf_url":"https://arxiv.org/pdf/1201.4092","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1201.4092","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033315557","display_name":"Pankaj Sharan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sharan, Pankaj","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5033315557"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.02810000069439411,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.016100000590085983,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extended-phase-space","display_name":"extended phase space","score":0.9700000286102295},{"id":"https://openalex.org/keywords/covariant-phase-space","display_name":"covariant phase space","score":0.8740000128746033},{"id":"https://openalex.org/keywords/fiber-bundle-structure","display_name":"fiber bundle structure","score":0.6970000267028809},{"id":"https://openalex.org/keywords/variational-principle","display_name":"variational principle","score":0.8740000128746033},{"id":"https://openalex.org/keywords/noether-currents","display_name":"conserved currents","score":0.9929999709129333}],"concepts":[{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.837581992149353},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5324552655220032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.46646344661712646},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.45585498213768005},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.43415412306785583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3962244391441345},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3865501880645752},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34595802426338196},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32894885540008545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22741255164146423},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15391606092453003},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:1201.4092","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1201.4092","pdf_url":"https://arxiv.org/pdf/1201.4092","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.4383","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.4383","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1201.4092.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1201.4092","doi":"https://doi.org/10.48550/arxiv.1201.4092","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1201.4092","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1201.4092","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1201.4092","pdf_url":"https://arxiv.org/pdf/1201.4092","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions","score":0.7699999809265137}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1649917132","https://openalex.org/W1653755966","https://openalex.org/W2065783621","https://openalex.org/W2588671166","https://openalex.org/W2984224373"],"related_works":["https://openalex.org/W1515548850","https://openalex.org/W304910524","https://openalex.org/W2025009645","https://openalex.org/W2167840431","https://openalex.org/W2036466636","https://openalex.org/W2093633850","https://openalex.org/W3101218599","https://openalex.org/W2062115946","https://openalex.org/W2025021483","https://openalex.org/W1977822644"],"abstract_inverted_index":{"It":[0],"is":[1,42,59,76],"shown":[2],"that":[3],"the":[4,10,23,28,32,38,56,73],"nature":[5],"of":[6,37],"physical":[7],"time":[8,21],"requires":[9],"extended":[11,39],"phase-space":[12,58],"in":[13,47,55],"mechanics":[14],"to":[15,45,72],"have":[16],"a":[17,48,68],"bundle":[18,35],"structure":[19],"with":[20],"as":[22,31],"1-dimensional":[24],"base":[25],"manifold":[26],"and":[27,67],"phase":[29,40],"space":[30,41],"fiber.":[33],"This":[34],"picture":[36],"then":[43],"applied":[44],"fields":[46,66],"covariant,":[49],"`directly'":[50],"Hamiltonian":[51],"formalism.":[52],"Variational":[53],"principle":[54],"covariant":[57],"discussed,":[60],"Noether":[61],"currents":[62],"calculated":[63],"for":[64],"symmetry":[65],"new":[69],"bracket":[70,75],"analogous":[71],"Peierls":[74],"defined.":[77]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
