{"id":"https://openalex.org/W4416048293","doi":"https://doi.org/10.1007/s00222-026-01459-9","title":"The Huang\u2013Yang conjecture for the low-density Fermi gas","display_name":"The Huang\u2013Yang conjecture for the low-density Fermi gas","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W4416048293","doi":"https://doi.org/10.1007/s00222-026-01459-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00222-026-01459-9","doi":"https://doi.org/10.1007/s00222-026-01459-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00222-026-01459-9","pdf_url":null,"source":{"id":"https://openalex.org/S98347115","display_name":"Inventiones mathematicae","issn_l":"0020-9910","issn":["0020-9910","1432-1297"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Inventiones mathematicae","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s00222-026-01459-9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079280576","display_name":"Emanuela L. Giacomelli","orcid":"https://orcid.org/0000-0002-8147-3250","observed_orcids":["https://orcid.org/0000-0002-8147-3250"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Emanuela L. Giacomelli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004067440","display_name":"Christian Hainzl","orcid":"https://orcid.org/0000-0002-9772-7323","observed_orcids":["https://orcid.org/0000-0002-9772-7323"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Hainzl","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048239767","display_name":"Phan Th\u00e0nh Nam","orcid":"https://orcid.org/0000-0001-7599-9742","observed_orcids":["https://orcid.org/0000-0001-7599-9742"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Phan Th\u00e0nh Nam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044393614","display_name":"Robert Seiringer","orcid":"https://orcid.org/0000-0002-6781-0521","observed_orcids":["https://orcid.org/0000-0002-6781-0521"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Seiringer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":12.0199,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.98745292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.826200008392334,"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"}},"topics":[{"id":"https://openalex.org/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.826200008392334,"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"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.08320000022649765,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.022199999541044235,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ground-state-energy","display_name":"ground state energy","score":0.8299999833106995},{"id":"https://openalex.org/keywords/spin-1-2-fermions","display_name":"spin-1/2 fermions","score":0.8989999890327454},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.8629999756813049},{"id":"https://openalex.org/keywords/scattering-length","display_name":"scattering length","score":0.8289999961853027},{"id":"https://openalex.org/keywords/lower-bounds","display_name":"lower bounds","score":0.722000002861023},{"id":"https://openalex.org/keywords/upper-bounds","display_name":"upper bounds","score":0.5680000185966492},{"id":"https://openalex.org/keywords/dilute-quantum-gases","display_name":"dilute quantum gases","score":0.6389999985694885}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6934000253677368},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.6751000285148621},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.6651999950408936},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.616599977016449},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5810999870300293},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5175999999046326},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5112000107765198},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5005000233650208},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.454800009727478},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4535999894142151},{"id":"https://openalex.org/C85867844","wikidata":"https://www.wikidata.org/wiki/Q1072904","display_name":"Fermi gas","level":3,"score":0.42989999055862427},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4253000020980835},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.4207000136375427},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4115999937057495},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.36079999804496765},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.34769999980926514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32910001277923584},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3089999854564667},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.29899999499320984},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2985999882221222},{"id":"https://openalex.org/C186769553","wikidata":"https://www.wikidata.org/wiki/Q726648","display_name":"Fermi Gamma-ray Space Telescope","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C37196565","wikidata":"https://www.wikidata.org/wiki/Q4118602","display_name":"Scattering length","level":3,"score":0.28519999980926514},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.2567000091075897}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00222-026-01459-9","doi":"https://doi.org/10.1007/s00222-026-01459-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00222-026-01459-9","pdf_url":null,"source":{"id":"https://openalex.org/S98347115","display_name":"Inventiones mathematicae","issn_l":"0020-9910","issn":["0020-9910","1432-1297"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Inventiones mathematicae","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2505.22340","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.22340","pdf_url":"https://arxiv.org/pdf/2505.22340","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":"doi:10.48550/arxiv.2505.22340","doi":"https://doi.org/10.48550/arxiv.2505.22340","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.22340","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00222-026-01459-9","doi":"https://doi.org/10.1007/s00222-026-01459-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00222-026-01459-9","pdf_url":null,"source":{"id":"https://openalex.org/S98347115","display_name":"Inventiones mathematicae","issn_l":"0020-9910","issn":["0020-9910","1432-1297"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Inventiones mathematicae","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3419438564","display_name":"Rigorous Approximations for Many-Body Quantum Systems","funder_award_id":"101044249","funder_id":"https://openalex.org/F4320338453","funder_display_name":"HORIZON EUROPE European Research Council"},{"id":"https://openalex.org/G5141357660","display_name":null,"funder_award_id":"TRR 352","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7773887378","display_name":"TRR 352: Mathematik der VielteilchenQuantensysteme und ihrer kollektiven Ph\u00e4nomene","funder_award_id":"470903074","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320338453","display_name":"HORIZON EUROPE European Research Council","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416048293.pdf","grobid_xml":"https://content.openalex.org/works/W4416048293.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1559205315","https://openalex.org/W1978684466","https://openalex.org/W1990491245","https://openalex.org/W2005133890","https://openalex.org/W2058108924","https://openalex.org/W2077941440","https://openalex.org/W2781927706","https://openalex.org/W2891005913","https://openalex.org/W3024083879","https://openalex.org/W3030152367","https://openalex.org/W3100990526","https://openalex.org/W3148029235","https://openalex.org/W3175430091","https://openalex.org/W3176627891","https://openalex.org/W3197135107","https://openalex.org/W3208726851","https://openalex.org/W4245734854","https://openalex.org/W4252290495","https://openalex.org/W4321438184","https://openalex.org/W4327713633","https://openalex.org/W4362679461","https://openalex.org/W4381480530","https://openalex.org/W4390754372","https://openalex.org/W4391278707","https://openalex.org/W4392271434","https://openalex.org/W4396648988","https://openalex.org/W4400257656","https://openalex.org/W4400486727","https://openalex.org/W4402371343","https://openalex.org/W4403796803","https://openalex.org/W4404261077","https://openalex.org/W4405516770","https://openalex.org/W4416609133","https://openalex.org/W7127277816","https://openalex.org/W7154350487"],"related_works":["https://openalex.org/W4403796803","https://openalex.org/W7163367610","https://openalex.org/W7154350487","https://openalex.org/W4403443736","https://openalex.org/W4394653541","https://openalex.org/W2058108924","https://openalex.org/W4416683882","https://openalex.org/W4392271434","https://openalex.org/W4400257656","https://openalex.org/W4390754372"],"abstract_inverted_index":{"Abstract":[0],"Our":[1],"work":[2,83],"establishes":[3],"a":[4,14,29,49],"three-term":[5],"asymptotic":[6],"expansion":[7],"of":[8,13,17,52,76],"the":[9,43,72,77,81,85,89],"ground":[10,73],"state":[11,74],"energy":[12,75],"dilute":[15],"gas":[16],"spin":[18],"$1/2$":[19],"1":[20],"/":[21],"2":[22],"fermions":[23],"with":[24],"repulsive":[25],"short-range":[26],"interactions,":[27],"validating":[28],"formula":[30,39],"predicted":[31],"by":[32,87],"Huang":[33],"and":[34,55,80],"Yang":[35],"in":[36,42],"1957.":[37],"The":[38],"is":[40],"universal":[41],"sense":[44],"that":[45],"it":[46],"holds":[47],"for":[48],"large":[50],"class":[51],"interaction":[53],"potentials":[54],"depends":[56],"on":[57,71],"those":[58],"only":[59],"via":[60],"their":[61],"scattering":[62],"length.":[63],"We":[64],"have":[65],"recently":[66],"proved":[67],"an":[68],"upper":[69],"bound":[70],"desired":[78],"form,":[79],"present":[82],"completes":[84],"program":[86],"proving":[88],"matching":[90],"lower":[91],"bound.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":3}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2025-10-10T00:00:00"}
