{"id":"https://openalex.org/W7214787165","doi":"https://doi.org/10.48550/arxiv.2609.35468","title":"Exploring $U_A(1)$ symmetry restoration in a magnetic field by meson screening masses in the NJL model","display_name":"Exploring $U_A(1)$ symmetry restoration in a magnetic field by meson screening masses in the NJL model","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214787165","doi":"https://doi.org/10.48550/arxiv.2609.35468"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.35468","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35468","pdf_url":"https://arxiv.org/pdf/2609.35468","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.35468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020654796","display_name":"Bing-Kai Sheng","orcid":"https://orcid.org/0000-0002-2507-0326","observed_orcids":["https://orcid.org/0000-0002-2507-0326"]},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng, Bing-Kai","raw_affiliation_strings":["College of Physics , Jilin University , Changchun 130012 , China","School of Physical Science and Technology , Inner Mongolia University , Hohhot , 010021 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Physics , Jilin University , Changchun 130012 , China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Physical Science and Technology , Inner Mongolia University , Hohhot , 010021 , China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132655457","display_name":"Zigeng Ding","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I184681353","display_name":"Anhui University of Science and Technology","ror":"https://ror.org/00q9atg80","country_code":"CN","type":"education","lineage":["https://openalex.org/I184681353"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ding, Zigeng","raw_affiliation_strings":["Center for Fundamental Physics , School of Mechanics and Optoelectronic Physics , Anhui University of Science and Technology , Huainan , Anhui 232001 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Fundamental Physics , School of Mechanics and Optoelectronic Physics , Anhui University of Science and Technology , Huainan , Anhui 232001 , China","institution_ids":["https://openalex.org/I184681353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091571728","display_name":"Danning Li","orcid":"https://orcid.org/0000-0002-1436-6893","observed_orcids":["https://orcid.org/0000-0002-1436-6893"]},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Danning","raw_affiliation_strings":["Department of Physics and Siyuan Laboratory , Jinan University , Guangzhou 510632 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Siyuan Laboratory , Jinan University , Guangzhou 510632 , China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153420419","display_name":"Xinyang Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I184681353","display_name":"Anhui University of Science and Technology","ror":"https://ror.org/00q9atg80","country_code":"CN","type":"education","lineage":["https://openalex.org/I184681353"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Xinyang","raw_affiliation_strings":["Center for Fundamental Physics , School of Mechanics and Optoelectronic Physics , Anhui University of Science and Technology , Huainan , Anhui 232001 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Fundamental Physics , School of Mechanics and Optoelectronic Physics , Anhui University of Science and Technology , Huainan , Anhui 232001 , China","institution_ids":["https://openalex.org/I184681353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5153475897","display_name":"Lang Yu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu, Lang","raw_affiliation_strings":["College of Physics , Jilin University , Changchun 130012 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Physics , Jilin University , Changchun 130012 , China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10527","display_name":"High-Energy Particle Collisions Research","score":0.7235999703407288,"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":0.7235999703407288,"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":0.2451000064611435,"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":0.008100000210106373,"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/inverse-magnetic-catalysis","display_name":"inverse magnetic catalysis","score":0.847000002861023},{"id":"https://openalex.org/keywords/nambu-jona-lasinio-model","display_name":"Nambu-Jona-Lasinio model","score":0.9660000205039978},{"id":"https://openalex.org/keywords/external-magnetic-field","display_name":"external magnetic field","score":0.7110000252723694},{"id":"https://openalex.org/keywords/chiral-crossover","display_name":"chiral crossover","score":0.7170000076293945},{"id":"https://openalex.org/keywords/pseudocritical-temperature","display_name":"pseudo-critical temperature","score":0.8320000171661377},{"id":"https://openalex.org/keywords/t-hooft-coupling","display_name":"'t Hooft coupling","score":0.8119999766349792},{"id":"https://openalex.org/keywords/order-parameter","display_name":"order parameter","score":0.3709999918937683}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8784999847412109},{"id":"https://openalex.org/C200006409","wikidata":"https://www.wikidata.org/wiki/Q102742","display_name":"Meson","level":2,"score":0.6384999752044678},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5317999720573425},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5228999853134155},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.5133000016212463},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.47769999504089355},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.4625999927520752},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.42750000953674316},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.41659998893737793},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4004000127315521},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.3449999988079071},{"id":"https://openalex.org/C117137515","wikidata":"https://www.wikidata.org/wiki/Q238170","display_name":"Quantum chromodynamics","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C52703039","wikidata":"https://www.wikidata.org/wiki/Q5101837","display_name":"Chiral symmetry breaking","level":3,"score":0.3206000030040741},{"id":"https://openalex.org/C2778564446","wikidata":"https://www.wikidata.org/wiki/Q2305173","display_name":"Chiral symmetry","level":3,"score":0.31619998812675476},{"id":"https://openalex.org/C74545648","wikidata":"https://www.wikidata.org/wiki/Q212794","display_name":"Inflection point","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C154461301","wikidata":"https://www.wikidata.org/wiki/Q306428","display_name":"Rho meson","level":3,"score":0.2971999943256378},{"id":"https://openalex.org/C5637370","wikidata":"https://www.wikidata.org/wiki/Q402478","display_name":"Thermal fluctuations","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.25519999861717224}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.35468","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35468","pdf_url":"https://arxiv.org/pdf/2609.35468","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.2609.35468","doi":"https://doi.org/10.48550/arxiv.2609.35468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.35468","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":"pmh:oai:arXiv.org:2609.35468","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35468","pdf_url":"https://arxiv.org/pdf/2609.35468","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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2067833719","display_name":null,"funder_award_id":"11605072","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3831845176","display_name":null,"funder_award_id":"YJ20240001","funder_id":"https://openalex.org/F4320323708","funder_display_name":"Anhui University of Science and Technology"},{"id":"https://openalex.org/G5702252352","display_name":null,"funder_award_id":"12235016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5869194331","display_name":null,"funder_award_id":"12275108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322300","display_name":"Jilin University","ror":"https://ror.org/00js3aw79"},{"id":"https://openalex.org/F4320323708","display_name":"Anhui University of Science and Technology","ror":"https://ror.org/00q9atg80"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214787165.pdf","grobid_xml":"https://content.openalex.org/works/W7214787165.grobid-xml"},"referenced_works_count":80,"referenced_works":["https://openalex.org/W68386382","https://openalex.org/W197413098","https://openalex.org/W1480226259","https://openalex.org/W1489929147","https://openalex.org/W1566300027","https://openalex.org/W1580794571","https://openalex.org/W1595053789","https://openalex.org/W1826491723","https://openalex.org/W1908926058","https://openalex.org/W1945505944","https://openalex.org/W1958894153","https://openalex.org/W1967483645","https://openalex.org/W1974214232","https://openalex.org/W1979816566","https://openalex.org/W1985258301","https://openalex.org/W1998241934","https://openalex.org/W2002176671","https://openalex.org/W2005294685","https://openalex.org/W2008278907","https://openalex.org/W2009455915","https://openalex.org/W2009575830","https://openalex.org/W2010023952","https://openalex.org/W2014463229","https://openalex.org/W2023455914","https://openalex.org/W2026351989","https://openalex.org/W2027275642","https://openalex.org/W2031042452","https://openalex.org/W2032893306","https://openalex.org/W2038984088","https://openalex.org/W2042587598","https://openalex.org/W2048874199","https://openalex.org/W2050575977","https://openalex.org/W2057410356","https://openalex.org/W2063457110","https://openalex.org/W2072180717","https://openalex.org/W2074263326","https://openalex.org/W2076306135","https://openalex.org/W2083657695","https://openalex.org/W2088053817","https://openalex.org/W2088986674","https://openalex.org/W2112163643","https://openalex.org/W2129483728","https://openalex.org/W2131192570","https://openalex.org/W2131394242","https://openalex.org/W2139180718","https://openalex.org/W2145087402","https://openalex.org/W2145550433","https://openalex.org/W2149592276","https://openalex.org/W2151160956","https://openalex.org/W2158380102","https://openalex.org/W2160137596","https://openalex.org/W2161792064","https://openalex.org/W2168658346","https://openalex.org/W2171238669","https://openalex.org/W2198066034","https://openalex.org/W2300638202","https://openalex.org/W2385758687","https://openalex.org/W2536341153","https://openalex.org/W2594134014","https://openalex.org/W2772333375","https://openalex.org/W2887764274","https://openalex.org/W2941114810","https://openalex.org/W2942526947","https://openalex.org/W2949413146","https://openalex.org/W2949421675","https://openalex.org/W2951660108","https://openalex.org/W2969233794","https://openalex.org/W3014106674","https://openalex.org/W3022851837","https://openalex.org/W3024109388","https://openalex.org/W3080594160","https://openalex.org/W3091996931","https://openalex.org/W3133167608","https://openalex.org/W3206522210","https://openalex.org/W3210988493","https://openalex.org/W4214738917","https://openalex.org/W4405736937","https://openalex.org/W4409542126","https://openalex.org/W7165875975","https://openalex.org/W7168278364"],"related_works":["https://openalex.org/W3210988493","https://openalex.org/W2385758687","https://openalex.org/W7215044332","https://openalex.org/W3201535202","https://openalex.org/W4200361157","https://openalex.org/W2056045810","https://openalex.org/W2735488633","https://openalex.org/W4405736937","https://openalex.org/W1580794571","https://openalex.org/W1607270122"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,44,51,57,61,67,92,96,111,117],"effective":[3],"axial":[4,80,87,112],"$U_A(1)$":[5,68],"symmetry":[6],"restoration":[7],"at":[8,83,104,145],"finite":[9],"temperature":[10,135],"in":[11,25],"an":[12,139],"external":[13],"magnetic":[14,34,81,89],"field":[15],"using":[16],"meson":[17,23,76],"screening":[18,63,98,142],"masses,":[19],"as":[20,22],"well":[21],"susceptibilities,":[24],"a":[26,38,132],"$(2+1)$-flavor":[27],"Nambu-Jona-Lasinio":[28],"(NJL)":[29],"model.":[30],"To":[31],"incorporate":[32],"inverse":[33,88],"catalysis,":[35],"we":[36],"employ":[37],"magnetic-field-dependent":[39],"four-quark":[40],"coupling":[41,54],"constrained":[42],"by":[43],"lattice":[45],"QCD":[46],"chiral":[47,93],"pseudo-critical":[48,113,134],"temperature,":[49],"with":[50,102,128,138],"'t":[52],"Hooft":[53],"fixed.":[55],"In":[56],"lattice-improved":[58],"NJL":[59],"model,":[60],"longitudinal":[62],"mass":[64,99,143],"difference":[65,78,100,144],"between":[66],"partners":[69],"$\u03b4^0$":[70],"and":[71,73,86],"$\u03c0^0$":[72],"their":[74],"normalized":[75],"susceptibility":[77],"exhibit":[79],"catalysis":[82,90],"low":[84],"temperatures":[85,114],"near":[91],"crossover,":[94],"whereas":[95],"transverse":[97,141],"increases":[101],"$eB$":[103],"all":[105],"temperatures.":[106],"Despite":[107],"these":[108,122],"different":[109],"responses,":[110],"extracted":[115],"from":[116],"thermal":[118],"inflection":[119],"points":[120],"of":[121],"three":[123],"alternative":[124],"order":[125],"parameters":[126],"decrease":[127],"$eB$,":[129],"implying":[130],"that":[131],"decreasing":[133],"can":[136],"coexist":[137],"increasing":[140],"fixed":[146],"temperature.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}