{"id":"https://openalex.org/W7204129796","doi":"https://doi.org/10.1007/jhep10(2026)215","title":"Classical dynamics from QFT via Stratonovich-Weyl correspondence","display_name":"Classical dynamics from QFT via Stratonovich-Weyl correspondence","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7204129796","doi":"https://doi.org/10.1007/jhep10(2026)215"},"language":"en","primary_location":{"id":"doi:10.1007/jhep10(2026)215","doi":"https://doi.org/10.1007/jhep10(2026)215","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep10(2026)215","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)215.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)215.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037718722","display_name":"Alexander Ochirov","orcid":"https://orcid.org/0000-0002-8321-5175","observed_orcids":["https://orcid.org/0000-0002-8321-5175"]},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Alexander Ochirov","raw_affiliation_strings":["ShanghaiTech University"],"raw_orcid":"https://orcid.org/0000-0002-8321-5175","affiliations":[{"raw_affiliation_string":"ShanghaiTech University","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039415947","display_name":"Canxin Shi","orcid":"https://orcid.org/0000-0002-0360-3283","observed_orcids":["https://orcid.org/0000-0002-0360-3283"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Canxin Shi","raw_affiliation_strings":["Chinese Academy of Sciences"],"raw_orcid":"https://orcid.org/0000-0002-0360-3283","affiliations":[{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039415947"],"corresponding_institution_ids":["https://openalex.org/I19820366"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":0.8379,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7912912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"2026","issue":"10","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":0.5551999807357788,"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":0.5551999807357788,"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":0.23729999363422394,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.029899999499320984,"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/scattering-matrix","display_name":"scattering matrix","score":0.8069999814033508},{"id":"https://openalex.org/keywords/phase-space-quantization","display_name":"phase space quantization","score":0.5899999737739563},{"id":"https://openalex.org/keywords/magnus-expansion","display_name":"Magnus expansion","score":0.503000020980835},{"id":"https://openalex.org/keywords/dirac-brackets","display_name":"Dirac brackets","score":0.5350000262260437},{"id":"https://openalex.org/keywords/gravitational-waves","display_name":"gravitational waves","score":0.5199999809265137},{"id":"https://openalex.org/keywords/massive-bodies","display_name":"massive bodies","score":0.46299999952316284},{"id":"https://openalex.org/keywords/fock-space","display_name":"Fock space","score":0.6610000133514404},{"id":"https://openalex.org/keywords/asymptotic-trajectories","display_name":"asymptotic trajectories","score":0.5270000100135803},{"id":"https://openalex.org/keywords/retarded-propagator","display_name":"retarded propagator","score":0.5929999947547913}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.7103000283241272},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.66839998960495},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.646399974822998},{"id":"https://openalex.org/C114852677","wikidata":"https://www.wikidata.org/wiki/Q899044","display_name":"Fock space","level":2,"score":0.5922999978065491},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5386999845504761},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.4837999939918518},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.4569000005722046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43709999322891235},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4205000102519989},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.414000004529953},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3808000087738037},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.38040000200271606},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3779999911785126},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.36629998683929443},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.34150001406669617},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32690000534057617},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3059999942779541},{"id":"https://openalex.org/C2780311589","wikidata":"https://www.wikidata.org/wiki/Q6901559","display_name":"Monodromy matrix","level":3,"score":0.3046000003814697},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C53702628","wikidata":"https://www.wikidata.org/wiki/Q3090317","display_name":"Classical limit","level":3,"score":0.2842000126838684},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.25929999351501465},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2533000111579895},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2508000135421753}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/jhep10(2026)215","doi":"https://doi.org/10.1007/jhep10(2026)215","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep10(2026)215","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)215.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2608.21328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21328","pdf_url":"https://arxiv.org/pdf/2608.21328","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:ac41ff1f18774b0a843afb5357cd001c","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/ac41ff1f18774b0a843afb5357cd001c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of High Energy Physics, Vol 2026, Iss 10 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2608.21328","doi":"https://doi.org/10.48550/arxiv.2608.21328","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.21328","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/jhep10(2026)215","doi":"https://doi.org/10.1007/jhep10(2026)215","is_oa":true,"landing_page_url":"https://doi.org/10.1007/jhep10(2026)215","pdf_url":"https://link.springer.com/content/pdf/10.1007/JHEP10(2026)215.pdf","source":{"id":"https://openalex.org/S187585107","display_name":"Journal of High Energy Physics","issn_l":"1029-8479","issn":["1029-8479","1126-6708","1127-2236"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-a","jufo-3","ki-jl-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of High Energy Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2890505602","display_name":null,"funder_award_id":"12347146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5577266745","display_name":null,"funder_award_id":"2022TQ0346","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204129796.pdf","grobid_xml":"https://content.openalex.org/works/W7204129796.grobid-xml"},"referenced_works_count":76,"referenced_works":["https://openalex.org/W103333713","https://openalex.org/W1591512602","https://openalex.org/W1990165663","https://openalex.org/W1997267689","https://openalex.org/W2000934189","https://openalex.org/W2019380811","https://openalex.org/W2026661162","https://openalex.org/W2035793242","https://openalex.org/W2039763880","https://openalex.org/W2056266391","https://openalex.org/W2061046542","https://openalex.org/W2074106775","https://openalex.org/W2080330271","https://openalex.org/W2112036809","https://openalex.org/W2125635433","https://openalex.org/W2133238133","https://openalex.org/W2170649178","https://openalex.org/W2225000375","https://openalex.org/W2808162249","https://openalex.org/W2885181732","https://openalex.org/W2902925628","https://openalex.org/W2909916817","https://openalex.org/W2927343340","https://openalex.org/W2970700982","https://openalex.org/W2973128662","https://openalex.org/W2983164863","https://openalex.org/W2997150250","https://openalex.org/W3001198088","https://openalex.org/W3012728507","https://openalex.org/W3023991327","https://openalex.org/W3032953350","https://openalex.org/W3084291131","https://openalex.org/W3142064839","https://openalex.org/W3159460305","https://openalex.org/W3165898261","https://openalex.org/W3183802036","https://openalex.org/W3186133321","https://openalex.org/W3190434946","https://openalex.org/W3190910614","https://openalex.org/W3198288096","https://openalex.org/W3209367941","https://openalex.org/W4200630713","https://openalex.org/W4224223408","https://openalex.org/W4362600354","https://openalex.org/W4383265191","https://openalex.org/W4384257947","https://openalex.org/W4400095854","https://openalex.org/W4400183987","https://openalex.org/W4401494019","https://openalex.org/W4404758146","https://openalex.org/W4407078319","https://openalex.org/W4410362977","https://openalex.org/W4410993311","https://openalex.org/W4411202892","https://openalex.org/W4411377478","https://openalex.org/W4415489101","https://openalex.org/W4415967208","https://openalex.org/W4416159354","https://openalex.org/W4416466488","https://openalex.org/W6947775569","https://openalex.org/W7117132504","https://openalex.org/W7117688075","https://openalex.org/W7127570158","https://openalex.org/W7128742652","https://openalex.org/W7134074568","https://openalex.org/W7140364350","https://openalex.org/W7140755301","https://openalex.org/W7154015237","https://openalex.org/W7157726955","https://openalex.org/W7162411777","https://openalex.org/W7167888324","https://openalex.org/W7169601679","https://openalex.org/W7203756727","https://openalex.org/W7214208562","https://openalex.org/W7214320804","https://openalex.org/W7215041897"],"related_works":["https://openalex.org/W7204114501","https://openalex.org/W4200633489","https://openalex.org/W2597186729","https://openalex.org/W6921245752","https://openalex.org/W2082027374","https://openalex.org/W7117688075","https://openalex.org/W4416466488","https://openalex.org/W3092416736","https://openalex.org/W4392091855","https://openalex.org/W2315063352"],"abstract_inverted_index":{"A":[0],"bstract":[1],"We":[2],"develop":[3],"a":[4,113],"formalism":[5,33],"for":[6,116,136],"extracting":[7],"relativistic":[8],"classical":[9,60],"dynamics":[10],"from":[11],"the":[12,29,36,41,53,68,79,83,85,101,105,108,118,124],"S-matrix,":[13,84,109],"in":[14,28],"which":[15],"massive":[16],"bodies":[17],"are":[18,62,87,100],"described":[19],"on":[20,35,72],"phase":[21],"space":[22],"while":[23],"massless":[24],"radiation":[25],"is":[26,134],"kept":[27],"Fock":[30],"space.":[31],"Our":[32],"relies":[34],"Stratonovich-Weyl":[37],"(SW)":[38],"correspondence":[39],"between":[40],"operator":[42],"and":[43,110],"phase-space":[44],"formulations":[45],"of":[46,67,82,104,107,126],"quantum":[47],"mechanics,":[48],"as":[49],"implemented":[50],"covariantly":[51],"by":[52,64,90],"SW":[54,65],"quantizer.":[55],"For":[56],"localized":[57],"incoming":[58,73],"states,":[59],"observables":[61,86],"given":[63,89],"symbols":[66],"appropriate":[69],"operators":[70],"evaluated":[71],"asymptotic":[74],"trajectories.":[75],"In":[76],"combination":[77],"with":[78],"exponential":[80],"form":[81],"naturally":[88],"nested":[91],"mixed":[92],"Dirac/commutator":[93],"brackets":[94],"involving":[95],"Magnus":[96],"amplitudes.":[97],"The":[98],"latter":[99],"matrix":[102],"elements":[103],"logarithm":[106],"we":[111],"provide":[112],"straightforward":[114],"algorithm":[115],"computing":[117],"combinatorial":[119],"Murua":[120],"coefficients":[121],"that":[122],"control":[123],"placement":[125],"retarded":[127],"propagators":[128],"inside":[129],"Magnus-amplitude":[130],"diagrams.":[131],"This":[132],"picture":[133],"well-suited":[135],"gravitational-wave":[137],"physics":[138],"applications.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-25T00:00:00"}