{"id":"https://openalex.org/W2005358041","doi":"https://doi.org/10.1088/0954-3899/36/5/055005","title":"The phase diagram of three degenerate flavour QCD for small density from imaginary chemical potential","display_name":"The phase diagram of three degenerate flavour QCD for small density from imaginary chemical potential","publication_year":2009,"publication_date":"2009-04-09","ids":{"openalex":"https://openalex.org/W2005358041","doi":"https://doi.org/10.1088/0954-3899/36/5/055005","mag":"2005358041"},"language":"en","primary_location":{"id":"doi:10.1088/0954-3899/36/5/055005","doi":"https://doi.org/10.1088/0954-3899/36/5/055005","is_oa":false,"landing_page_url":"https://doi.org/10.1088/0954-3899/36/5/055005","pdf_url":null,"source":{"id":"https://openalex.org/S78376336","display_name":"Journal of Physics G Nuclear and Particle Physics","issn_l":"0954-3899","issn":["0954-3899","1361-6471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-2","ki-jl-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics G: Nuclear and Particle Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"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/A5018415836","display_name":"Liang-Kai Wu","orcid":"https://orcid.org/0000-0002-6295-0496","observed_orcids":["https://orcid.org/0000-0002-6295-0496"]},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang-Kai Wu","raw_affiliation_strings":["Faculty of Science, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Jiangsu University, Zhenjiang, 212013, People\u2019s Republic of China","institution_ids":["https://openalex.org/I115592961"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yi-Zhong Fang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi-Zhong Fang","raw_affiliation_strings":["School of Physics and Engineering, Zhongshan (Sun Yat-Sen) University, Guangzhou 510275, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Engineering, Zhongshan (Sun Yat-Sen) University, Guangzhou 510275, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100685977","display_name":"Yubin Liu","orcid":"https://orcid.org/0000-0002-8218-1495","observed_orcids":["https://orcid.org/0000-0002-8218-1495"]},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Bin Liu","raw_affiliation_strings":["Department of Physics, Nankai University, Tianjin 300071, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Nankai University, Tianjin 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100768487","display_name":"Yan Liu","orcid":"https://orcid.org/0000-0003-2649-2552","observed_orcids":["https://orcid.org/0000-0003-2649-2552"]},"institutions":[{"id":"https://openalex.org/I101479585","display_name":"South China Agricultural University","ror":"https://ror.org/05v9jqt67","country_code":"CN","type":"education","lineage":["https://openalex.org/I101479585"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Liu","raw_affiliation_strings":["College of Science, South China Agriculture University, Guangzhou 510642, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, South China Agriculture University, Guangzhou 510642, People's Republic of China","institution_ids":["https://openalex.org/I101479585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085240286","display_name":"Zhihuan Luo","orcid":"https://orcid.org/0000-0002-7422-0335","observed_orcids":["https://orcid.org/0000-0002-7422-0335"]},"institutions":[{"id":"https://openalex.org/I101479585","display_name":"South China Agricultural University","ror":"https://ror.org/05v9jqt67","country_code":"CN","type":"education","lineage":["https://openalex.org/I101479585"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Huan Luo","raw_affiliation_strings":["College of Science, South China Agriculture University, Guangzhou 510642, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, South China Agriculture University, Guangzhou 510642, People's Republic of China","institution_ids":["https://openalex.org/I101479585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":0.1804,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60336326,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"5","first_page":"055005","last_page":"055005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10527","display_name":"High-Energy Particle Collisions Research","score":0.875,"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/T10527","display_name":"High-Energy Particle Collisions Research","score":0.875,"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.10740000009536743,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.00419999985024333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/three-flavor-qcd","display_name":"three-flavor QCD","score":0.8429999947547913},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.6190000176429749},{"id":"https://openalex.org/keywords/imaginary-chemical-potential","display_name":"imaginary chemical potential","score":0.9739999771118164},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"analytic continuation","score":0.781000018119812},{"id":"https://openalex.org/keywords/finite-temperature","display_name":"finite temperature","score":0.5979999899864197},{"id":"https://openalex.org/keywords/crossover-transition","display_name":"crossover transition","score":0.7329999804496765},{"id":"https://openalex.org/keywords/finite-size-scaling","display_name":"finite-size scaling","score":0.9409999847412109},{"id":"https://openalex.org/keywords/wilson-fermions","display_name":"Wilson fermions","score":0.7749999761581421},{"id":"https://openalex.org/keywords/transition-temperature","display_name":"transition temperature","score":0.597000002861023}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9183767437934875},{"id":"https://openalex.org/C16281581","wikidata":"https://www.wikidata.org/wiki/Q874733","display_name":"Flavour","level":2,"score":0.7808359861373901},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7368640899658203},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.6564214825630188},{"id":"https://openalex.org/C117137515","wikidata":"https://www.wikidata.org/wiki/Q238170","display_name":"Quantum chromodynamics","level":2,"score":0.5979225039482117},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5598710179328918},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.4399517774581909},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4257493317127228},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17939084768295288},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0954-3899/36/5/055005","doi":"https://doi.org/10.1088/0954-3899/36/5/055005","is_oa":false,"landing_page_url":"https://doi.org/10.1088/0954-3899/36/5/055005","pdf_url":null,"source":{"id":"https://openalex.org/S78376336","display_name":"Journal of Physics G Nuclear and Particle Physics","issn_l":"0954-3899","issn":["0954-3899","1361-6471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-2","ki-jl-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics G: Nuclear and Particle Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1564660570","https://openalex.org/W1963699425","https://openalex.org/W1964366948","https://openalex.org/W1966729259","https://openalex.org/W1977152158","https://openalex.org/W1977774147","https://openalex.org/W1977972818","https://openalex.org/W1984160861","https://openalex.org/W1985966506","https://openalex.org/W1986523476","https://openalex.org/W1987341346","https://openalex.org/W1987597786","https://openalex.org/W1991373977","https://openalex.org/W1992742598","https://openalex.org/W1998274008","https://openalex.org/W2001400974","https://openalex.org/W2008575145","https://openalex.org/W2011483833","https://openalex.org/W2012573093","https://openalex.org/W2014878137","https://openalex.org/W2020173052","https://openalex.org/W2024841059","https://openalex.org/W2033754750","https://openalex.org/W2037132275","https://openalex.org/W2038817980","https://openalex.org/W2040116985","https://openalex.org/W2046765237","https://openalex.org/W2051039246","https://openalex.org/W2063228913","https://openalex.org/W2068494083","https://openalex.org/W2071165649","https://openalex.org/W2074574735","https://openalex.org/W2074736111","https://openalex.org/W2081902863","https://openalex.org/W2094288064","https://openalex.org/W2105915469","https://openalex.org/W2112130722","https://openalex.org/W2113569916","https://openalex.org/W2132736764","https://openalex.org/W2140940126","https://openalex.org/W2145491996","https://openalex.org/W2168449624","https://openalex.org/W2172104169","https://openalex.org/W2178971503","https://openalex.org/W3098797067","https://openalex.org/W3104647207","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2352370868","https://openalex.org/W2032053662","https://openalex.org/W2586560270","https://openalex.org/W2066204852","https://openalex.org/W2582558286","https://openalex.org/W1963588252","https://openalex.org/W3202849379","https://openalex.org/W2371481139","https://openalex.org/W2022416154","https://openalex.org/W2092912925"],"abstract_inverted_index":{"We":[0,56],"present":[1],"results":[2],"for":[3],"the":[4,23,29,47,60,65,77,94,101],"phase":[5],"structure":[6],"of":[7,53,62,96],"three":[8],"degenerate":[9],"flavour":[10],"QCD":[11],"at":[12,79,91],"finite":[13,71],"temperature":[14,49],"T":[15],"and":[16],"small":[17,54],"baryon":[18],"chemical":[19,31,42,67],"potential":[20,32,43,68],"\u03bcB":[21],"in":[22],"Wilson":[24],"fermion":[25],"formulation.":[26],"By":[27],"using":[28],"imaginary":[30,66],"\u03bcI":[33],"combined":[34],"with":[35,64],"an":[36],"analytic":[37],"continuation":[38],"to":[39,58,100],"real":[40],"quark":[41],"\u03bc,":[44],"we":[45],"obtain":[46],"transition":[48,63,78],"as":[50],"a":[51,84],"function":[52],"\u03bcB.":[55],"attempt":[57],"determine":[59],"nature":[61],"by":[69],"monitoring":[70],"size":[72],"scaling":[73],"which":[74],"reveals":[75],"that":[76],"a\u03bcI":[80],"=":[81,106],"0.0":[82],"is":[83],"rapid":[85],"crossover.":[86],"Our":[87],"simulations":[88],"are":[89],"performed":[90],"points":[92],"where":[93],"ratios":[95],"pseudo-scalar":[97],"meson":[98,103],"mass":[99,104],"vector":[102],"m\u03c0/m\u03c1":[105],"0.934(2).":[107]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}