{"id":"https://openalex.org/W3123582896","doi":null,"title":"Statistical Mechanics, Gravity, and Euclidean Theory","display_name":"Statistical Mechanics, Gravity, and Euclidean Theory","publication_year":2001,"publication_date":"2001-07-11","ids":{"openalex":"https://openalex.org/W3123582896","mag":"3123582896"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.262.9989","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.262.9989","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/hep-th/0107089v1.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085297115","display_name":"Dmitri V. Fursaev","orcid":"https://orcid.org/0000-0002-5693-3112","observed_orcids":["https://orcid.org/0000-0002-5693-3112"]},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Dmitri V. Fursaev","raw_affiliation_strings":["Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141 980 Dubna, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141 980 Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085297115"],"corresponding_institution_ids":["https://openalex.org/I32699454"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":15,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9707000255584717,"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"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9707000255584717,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.010599999688565731,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.009999999776482582,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/free-energy","display_name":"free energy","score":0.7440000176429749},{"id":"https://openalex.org/keywords/gibbs-measures","display_name":"Gibbs measures","score":0.9739999771118164},{"id":"https://openalex.org/keywords/stationary-spacetimes","display_name":"stationary spacetimes","score":0.656000018119812},{"id":"https://openalex.org/keywords/euclidean-quantum-gravity","display_name":"Euclidean quantum gravity","score":0.8349999785423279},{"id":"https://openalex.org/keywords/nonlinear-eigenvalue-problems","display_name":"nonlinear eigenvalue problems","score":0.7490000128746033},{"id":"https://openalex.org/keywords/heat-kernel-asymptotics","display_name":"heat kernel asymptotics","score":0.8109999895095825},{"id":"https://openalex.org/keywords/second-order-elliptic-operators","display_name":"second-order elliptic operators","score":0.9319999814033508},{"id":"https://openalex.org/keywords/high-temperature-asymptotics","display_name":"high-temperature asymptotics","score":0.8889999985694885},{"id":"https://openalex.org/keywords/energy-momentum-tensor","display_name":"energy-momentum tensor","score":0.796999990940094},{"id":"https://openalex.org/keywords/rotating-spacetimes","display_name":"rotating spacetimes","score":0.7770000100135803},{"id":"https://openalex.org/keywords/killing-horizons","display_name":"Killing horizons","score":0.9789999723434448},{"id":"https://openalex.org/keywords/quantum-field-theory-in-curved-spacetime","display_name":"quantum field theory in curved spacetime","score":0.7839999794960022}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5555461645126343},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.5423200726509094},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5377777814865112},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.45720726251602173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45526033639907837},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.4351721405982971},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4337043762207031},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3484035134315491},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.317454993724823},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27592527866363525},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.25059330463409424},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21087804436683655},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09963357448577881}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.262.9989","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.262.9989","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/hep-th/0107089v1.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:508840","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/508840","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W626332355","https://openalex.org/W1487033877","https://openalex.org/W1543790798","https://openalex.org/W1552736770","https://openalex.org/W1581351779","https://openalex.org/W1582790890","https://openalex.org/W1965571158","https://openalex.org/W1972004193","https://openalex.org/W1974678171","https://openalex.org/W1975406459","https://openalex.org/W1977248301","https://openalex.org/W1980316147","https://openalex.org/W1983598244","https://openalex.org/W1984755148","https://openalex.org/W1985119088","https://openalex.org/W1992204683","https://openalex.org/W1997231977","https://openalex.org/W2004759365","https://openalex.org/W2004819480","https://openalex.org/W2012323804","https://openalex.org/W2013011044","https://openalex.org/W2013888684","https://openalex.org/W2018763953","https://openalex.org/W2038821542","https://openalex.org/W2042650304","https://openalex.org/W2043483422","https://openalex.org/W2046400428","https://openalex.org/W2046472235","https://openalex.org/W2047087993","https://openalex.org/W2049484903","https://openalex.org/W2049851705","https://openalex.org/W2050476675","https://openalex.org/W2053658551","https://openalex.org/W2053729723","https://openalex.org/W2054495881","https://openalex.org/W2059799037","https://openalex.org/W2063123688","https://openalex.org/W2065805883","https://openalex.org/W2068034499","https://openalex.org/W2069281035","https://openalex.org/W2072162457","https://openalex.org/W2077469012","https://openalex.org/W2083683081","https://openalex.org/W2090386790","https://openalex.org/W2091008897","https://openalex.org/W2093024861","https://openalex.org/W2097015549","https://openalex.org/W2117648611","https://openalex.org/W2145207548","https://openalex.org/W2157005274","https://openalex.org/W2333641048","https://openalex.org/W2504965892","https://openalex.org/W3098630480","https://openalex.org/W3100964722","https://openalex.org/W3101146654","https://openalex.org/W3102588755","https://openalex.org/W3127580185","https://openalex.org/W3142882841"],"related_works":["https://openalex.org/W3098630480","https://openalex.org/W2012323804","https://openalex.org/W4394658632","https://openalex.org/W7096552330","https://openalex.org/W2963230092","https://openalex.org/W6891843425","https://openalex.org/W7100636183","https://openalex.org/W1538364067","https://openalex.org/W4379251577","https://openalex.org/W4286505563"],"abstract_inverted_index":{"A":[0],"review":[1],"of":[2,4,57,61,77,94,118,123,127,134,146],"computations":[3],"free":[5,27,96,120],"energy":[6,97,121],"for":[7,26],"Gibbs":[8],"states":[9],"on":[10,37,99,164,172],"stationary":[11],"but":[12],"not":[13],"static":[14],"gravitational":[15],"and":[16,104,122,151],"gauge":[17],"backgrounds":[18,23],"is":[19,83],"given.":[20],"On":[21],"these":[22],"wave":[24],"equations":[25],"fields":[28],"are":[29,136,154,162],"reduced":[30],"to":[31,45,74,85],"eigen-value":[32],"problems":[33],"which":[34],"depend":[35],"non-linearly":[36],"the":[38,58,88,91,95,102,105,119,124,128,132,144,165,169],"spectral":[39,59,79],"parameter.":[40],"We":[41,138],"present":[42],"a":[43,75,157],"method":[44,82],"deal":[46],"with":[47],"such":[48,66],"problems.":[49,80],"In":[50],"particular,":[51],"we":[52],"demonstrate":[53],"how":[54],"some":[55],"results":[56],"theory":[60],"second":[62],"order":[63],"elliptic":[64],"operators,":[65],"as":[67],"heat":[68],"kernel":[69],"asymptotics,":[70],"can":[71],"be":[72],"extended":[73],"class":[76],"non-linear":[78],"The":[81],"used":[84],"trace":[86],"down":[87],"relation":[89],"between":[90],"canonical":[92,150],"definition":[93,107],"based":[98,163],"summation":[100],"over":[101],"modes":[103],"covariant":[106],"given":[108],"in":[109,131,143,156],"Euclidean":[110,152],"quantum":[111],"gravity.":[112],"As":[113],"an":[114],"application,":[115],"high-temperature":[116],"asymptotics":[117],"thermal":[125],"part":[126],"stress-energy":[129],"tensor":[130],"presence":[133,145],"rotation":[135],"derived.":[137],"also":[139],"discuss":[140],"statistical":[141],"mechanics":[142],"Killing":[147],"horizons":[148],"where":[149],"theories":[153],"related":[155],"non-trivial":[158],"way.":[159],"These":[160],"notes":[161],"lectures":[166],"delivered":[167],"at":[168],"International":[170],"Meeting":[171],"\u201dQuantum":[173]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2021-02-01T00:00:00"}
