{"id":"https://openalex.org/W7213586196","doi":"https://doi.org/10.48550/arxiv.2609.20040","title":"Extremal Scalarization of Charged Black Holes: Miransky Scaling across Reissner-Nordstr\u00f6m Extremality","display_name":"Extremal Scalarization of Charged Black Holes: Miransky Scaling across Reissner-Nordstr\u00f6m Extremality","publication_year":2026,"publication_date":"2026-09-17","ids":{"openalex":"https://openalex.org/W7213586196","doi":"https://doi.org/10.48550/arxiv.2609.20040"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.20040","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.20040","pdf_url":"https://arxiv.org/pdf/2609.20040","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/2609.20040","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128830464","display_name":"Hong Guo","orcid":"https://orcid.org/0000-0002-0999-684X","observed_orcids":["https://orcid.org/0000-0002-0999-684X"]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo, Hong","raw_affiliation_strings":["Kavli Institute for Astronomy and Astrophysics , Peking University , Beijing 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kavli Institute for Astronomy and Astrophysics , Peking University , Beijing 100871 , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123528750","display_name":"Yun Soo Myung","orcid":"https://orcid.org/0000-0001-6343-9959","observed_orcids":["https://orcid.org/0000-0001-6343-9959"]},"institutions":[{"id":"https://openalex.org/I148751991","display_name":"Sogang University","ror":"https://ror.org/056tn4839","country_code":"KR","type":"education","lineage":["https://openalex.org/I148751991"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Myung, Yun Soo","raw_affiliation_strings":["Center for Quantum Spacetime , Sogang University , Seoul 04107 , Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Spacetime , Sogang University , Seoul 04107 , Republic of Korea","institution_ids":["https://openalex.org/I148751991"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042376064","display_name":"Lijing Shao","orcid":"https://orcid.org/0000-0002-1334-8853","observed_orcids":["https://orcid.org/0000-0002-1334-8853","https://orcid.org/0000-0002-8516-5159"]},"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"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4210164580","display_name":"National Astronomical Observatories","ror":"https://ror.org/058pyyv44","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210164580"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shao, Lijing","raw_affiliation_strings":["Kavli Institute for Astronomy and Astrophysics , Peking University , Beijing 100871 , China","National Astronomical Observatories , Chinese Academy of Sciences , Beijing 100101 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kavli Institute for Astronomy and Astrophysics , Peking University , Beijing 100871 , China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"National Astronomical Observatories , Chinese Academy of Sciences , Beijing 100101 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210164580"]}]}],"institutions":[],"countries_distinct_count":2,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9980000257492065,"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":0.9980000257492065,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.0003000000142492354,"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":9.999999747378752e-05,"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/spontaneous-scalarization","display_name":"spontaneous scalarization","score":0.9369999766349792},{"id":"https://openalex.org/keywords/extremal-black-holes","display_name":"extremal black holes","score":0.7860000133514404},{"id":"https://openalex.org/keywords/einstein-maxwell-scalar-theory","display_name":"Einstein-Maxwell-scalar theory","score":0.9769999980926514},{"id":"https://openalex.org/keywords/breitenlohner-freedman-bound","display_name":"Breitenlohner-Freedman bound","score":0.9300000071525574},{"id":"https://openalex.org/keywords/scalar-hair","display_name":"scalar hair","score":0.7929999828338623},{"id":"https://openalex.org/keywords/phase-transitions","display_name":"phase transitions","score":0.35499998927116394}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6873999834060669},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6273000240325928},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5898000001907349},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5745999813079834},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5239999890327454},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4738999903202057},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.47029998898506165},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4505999982357025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4212000072002411},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41940000653266907},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C3352285","wikidata":"https://www.wikidata.org/wiki/Q5422297","display_name":"Extremal length","level":4,"score":0.385699987411499},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3199999928474426},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.3107999861240387},{"id":"https://openalex.org/C139912040","wikidata":"https://www.wikidata.org/wiki/Q937378","display_name":"Logarithmic scale","level":2,"score":0.2888000011444092},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.26260000467300415},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.20040","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.20040","pdf_url":"https://arxiv.org/pdf/2609.20040","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.2609.20040","doi":"https://doi.org/10.48550/arxiv.2609.20040","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.20040","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.20040","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.20040","pdf_url":"https://arxiv.org/pdf/2609.20040","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/G1204268499","display_name":null,"funder_award_id":"RS-2022-NR069013","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3237726590","display_name":null,"funder_award_id":"RS-2022-NR069013","funder_id":"https://openalex.org/F4320328359","funder_display_name":"Ministry of Science and ICT, South Korea"},{"id":"https://openalex.org/G4286615259","display_name":null,"funder_award_id":"RS-2022-","funder_id":"https://openalex.org/F4320328359","funder_display_name":"Ministry of Science and ICT, South Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322434","display_name":"Max-Planck-Gesellschaft","ror":"https://ror.org/01hhn8329"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213586196.pdf","grobid_xml":"https://content.openalex.org/works/W7213586196.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7163696266"],"related_works":["https://openalex.org/W4287612302","https://openalex.org/W7204188032","https://openalex.org/W2912316895","https://openalex.org/W7163218063","https://openalex.org/W7161784504","https://openalex.org/W7212020707","https://openalex.org/W2950149046","https://openalex.org/W7222976294","https://openalex.org/W7163696266","https://openalex.org/W4364356750"],"abstract_inverted_index":{"We":[0],"study":[1],"spontaneous":[2],"scalarization":[3,21],"near":[4],"and":[5],"at":[6],"extremality":[7,14,84],"in":[8,65],"Einstein-Maxwell-scalar":[9],"theory.":[10],"As":[11],"Reissner-Nordstr\u00f6m":[12],"(RN)":[13],"is":[15],"approached":[16],"from":[17,85],"below,":[18],"the":[19,33,37,66,71,82,92,95,101,105],"nonextremal":[20],"existence":[22],"curves":[23],"collapse":[24],"toward":[25,81],"a":[26,48],"common":[27,75],"critical":[28],"threshold":[29],"$\u03b1_c=1/4$":[30],"given":[31],"by":[32],"Breitenlohner-Freedman":[34],"bound":[35],"for":[36],"near-horizon":[38],"throat":[39],"(AdS$_2\\times":[40],"S^2$)":[41],"of":[42,108],"its":[43],"extremal":[44,53,93],"black":[45,54],"hole.":[46],"For":[47],"polynomial":[49],"coupling,":[50],"we":[51],"construct":[52],"holes":[55],"with":[56],"nonconstant":[57],"scalar":[58],"hair,":[59],"satisfying":[60],"$M^2+Q_s^2=Q^2$,":[61],"which":[62,103],"places":[63],"them":[64],"overcharged":[67],"region":[68],"$Q/M>1$":[69],"beyond":[70],"RN":[72,83],"bound.":[73],"A":[74],"near-region":[76],"phase":[77,97],"mechanism":[78],"predicts":[79],"accumulation":[80],"both":[86],"sides,":[87],"yielding":[88],"Miransky-type":[89],"scaling.":[90],"In":[91],"sector,":[94],"logarithmic":[96],"interval":[98],"doubles,":[99],"halving":[100],"exponent":[102],"denotes":[104],"geometric":[106],"spacing":[107],"successive":[109],"node":[110],"scales.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-19T00:00:00"}
