{"id":"https://openalex.org/W7214334113","doi":"https://doi.org/10.48550/arxiv.2609.29369","title":"Emergence of Horndeski gravity from asymptotic safety?","display_name":"Emergence of Horndeski gravity from asymptotic safety?","publication_year":2026,"publication_date":"2026-09-24","ids":{"openalex":"https://openalex.org/W7214334113","doi":"https://doi.org/10.48550/arxiv.2609.29369"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.29369","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29369","pdf_url":"https://arxiv.org/pdf/2609.29369","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/2609.29369","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010105121","display_name":"Astrid Eichhorn","orcid":"https://orcid.org/0000-0003-4458-1495","observed_orcids":["https://orcid.org/0000-0003-4458-1495","https://orcid.org/0000-0001-8373-9115"]},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eichhorn, Astrid","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , Philosophenweg 12 & 16 , 69120 Heidel- berg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , Philosophenweg 12 & 16 , 69120 Heidel- berg , Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080426835","display_name":"Pedro G. S. Fernandes","orcid":"https://orcid.org/0000-0002-8176-7208","observed_orcids":["https://orcid.org/0000-0002-8176-7208"]},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fernandes, Pedro G. S.","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , Philosophenweg 12 & 16 , 69120 Heidel- berg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , Philosophenweg 12 & 16 , 69120 Heidel- berg , Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152954684","display_name":"Fabian Willaschek","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Willaschek, Fabian","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , Philosophenweg 12 & 16 , 69120 Heidel- berg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , Philosophenweg 12 & 16 , 69120 Heidel- berg , Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.7217000126838684,"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"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.7217000126838684,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.26660001277923584,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.0031999999191612005,"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/horndeski-gravity","display_name":"Horndeski gravity","score":0.9380000233650208},{"id":"https://openalex.org/keywords/asymptotic-safety","display_name":"asymptotic safety","score":0.9980000257492065},{"id":"https://openalex.org/keywords/scalar-tensor-gravity","display_name":"scalar-tensor gravity","score":0.9390000104904175},{"id":"https://openalex.org/keywords/modified-gravity","display_name":"modified gravity","score":0.7580000162124634},{"id":"https://openalex.org/keywords/non-minimal-coupling","display_name":"non-minimal coupling","score":0.8799999952316284},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.843999981880188},{"id":"https://openalex.org/keywords/radiative-stability","display_name":"radiative stability","score":0.9139999747276306}],"concepts":[{"id":"https://openalex.org/C67560290","wikidata":"https://www.wikidata.org/wiki/Q17004315","display_name":"Asymptotic safety in quantum gravity","level":4,"score":0.694100022315979},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6014999747276306},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5171999931335449},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4912000000476837},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.47440001368522644},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4546000063419342},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.43619999289512634},{"id":"https://openalex.org/C149374227","wikidata":"https://www.wikidata.org/wiki/Q752732","display_name":"Asymptotic freedom","level":3,"score":0.41929998993873596},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.41780000925064087},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.4074999988079071},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.39890000224113464},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.387800008058548},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.35589998960494995},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3476000130176544},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3359000086784363},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3287999927997589},{"id":"https://openalex.org/C190330329","wikidata":"https://www.wikidata.org/wiki/Q190035","display_name":"Gravitational wave","level":2,"score":0.31679999828338623},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.3100999891757965},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C2776798109","wikidata":"https://www.wikidata.org/wiki/Q11391","display_name":"Ultraviolet","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.2775000035762787},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.29369","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29369","pdf_url":"https://arxiv.org/pdf/2609.29369","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.2609.29369","doi":"https://doi.org/10.48550/arxiv.2609.29369","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.29369","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:2609.29369","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29369","pdf_url":"https://arxiv.org/pdf/2609.29369","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/G1620761618","display_name":null,"funder_award_id":"EXC 2181/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6526081583","display_name":null,"funder_award_id":"EXC 2181","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7105266721","display_name":"EXC 2181: STRUKTUREN: Emergenz in Natur, Mathematik und komplexen Daten","funder_award_id":"390900948","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7227535049","display_name":null,"funder_award_id":"2181/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214334113.pdf","grobid_xml":"https://content.openalex.org/works/W7214334113.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1529238124","https://openalex.org/W1982018756","https://openalex.org/W1997306303","https://openalex.org/W2000661521","https://openalex.org/W2056987794","https://openalex.org/W2059177657","https://openalex.org/W2099174206","https://openalex.org/W2148908350","https://openalex.org/W2566693174","https://openalex.org/W2592434037","https://openalex.org/W2594879093","https://openalex.org/W2599891974","https://openalex.org/W3037089749","https://openalex.org/W4206702240"],"related_works":["https://openalex.org/W7165645699","https://openalex.org/W3132061560","https://openalex.org/W1883879178","https://openalex.org/W2762220974","https://openalex.org/W2900360676","https://openalex.org/W2066275228","https://openalex.org/W2754561259","https://openalex.org/W2060990813","https://openalex.org/W2773887789","https://openalex.org/W2165037551"],"abstract_inverted_index":{"There":[0],"are":[1,17,58],"strong":[2],"motivations":[3],"to":[4,66,83,88],"modify":[5],"gravity":[6],"in":[7,61,91,138,149,190],"the":[8,13,25,36,67,72,89,99,114,139,145,167,191],"ultraviolet":[9,45],"as":[10,12,120],"well":[11],"infrared.":[14,140],"Such":[15],"modifications":[16,48],"usually":[18],"pursued":[19],"independently":[20,201],"from":[21,101],"one":[22,80],"another.":[23],"Using":[24],"predictive":[26],"power":[27],"of":[28,39,49,113,132,136,178,186,198,202],"asymptotically":[29,125],"safe":[30,126],"quantum":[31,164],"gravity,":[32],"we":[33,95,181],"can":[34,106],"constrain":[35],"effective-field-theory":[37],"coefficients":[38],"scalar-tensor":[40,127],"theories":[41,128],"and":[42,46,64,163],"thereby":[43],"connect":[44],"infrared":[47],"gravity.":[50],"We":[51,117,141],"focus":[52],"on":[53],"two":[54],"non-minimal":[55],"couplings,":[56],"which":[57],"naturally":[59],"generated":[60],"asymptotic":[62,102,152,156,170],"safety":[63,153,157],"belong":[65],"Horndeski":[68,193],"Lagrangian":[69],"only":[70,172],"if":[71],"couplings":[73],"satisfy":[74],"a":[75,85,110,121,160,196],"specific":[76,111],"ratio.":[77],"A":[78],"priori,":[79],"would":[81],"expect":[82],"find":[84,96,143],"negative":[86],"answer":[87],"question":[90],"our":[92],"title.":[93],"Surprisingly,":[94],"that":[97,124,144],"despite":[98],"constraints":[100],"safety,":[103,171],"this":[104,119],"ratio":[105],"be":[107,130],"achieved":[108],"for":[109,195],"value":[112],"cosmological":[115],"constant.":[116],"interpret":[118],"non-trivial":[122,184],"hint":[123],"could":[129],"free":[131],"extra":[133],"propagating":[134],"degrees":[135],"freedom":[137],"further":[142],"same":[146],"result":[147],"holds":[148,173],"an":[150,175],"effective":[151],"scenario,":[154],"where":[155],"is":[158],"not":[159],"fundamental":[161],"theory":[162],"scale":[165],"symmetry,":[166],"symmetry":[168],"underlying":[169],"over":[174],"intermediate":[176],"range":[177,197],"scales.":[179],"Finally,":[180],"report":[182],"novel":[183],"indications":[185],"approximate":[187],"radiative":[188],"stability":[189],"aforementioned":[192],"sector":[194],"coupling":[199],"values,":[200],"any":[203],"particular":[204],"UV":[205],"completion.":[206]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}