{"id":"https://openalex.org/W2589858372","doi":"https://doi.org/10.1103/physrevd.96.126016","title":"Physical renormalization schemes and asymptotic safety in quantum gravity","display_name":"Physical renormalization schemes and asymptotic safety in quantum gravity","publication_year":2017,"publication_date":"2017-12-28","ids":{"openalex":"https://openalex.org/W2589858372","doi":"https://doi.org/10.1103/physrevd.96.126016","mag":"2589858372"},"language":"en","primary_location":{"id":"doi:10.1103/physrevd.96.126016","doi":"https://doi.org/10.1103/physrevd.96.126016","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.96.126016","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1702.03577","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007857592","display_name":"Kevin Falls","orcid":"https://orcid.org/0000-0003-1265-0492","observed_orcids":["https://orcid.org/0000-0003-1265-0492"]},"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":true,"raw_author_name":"Kevin Falls","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik, University of Heidelberg, Philosophenweg 12, 62910 Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik, University of Heidelberg, Philosophenweg 12, 62910 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007857592"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":2.8342,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.90612365,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"96","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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":0.007000000216066837,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.002099999925121665,"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/asymptotic-safety","display_name":"asymptotic safety","score":0.9350000023841858},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.9769999980926514},{"id":"https://openalex.org/keywords/scheme-independence","display_name":"scheme independence","score":0.7879999876022339},{"id":"https://openalex.org/keywords/renormalization-group-flow","display_name":"renormalization group flow","score":0.7570000290870667},{"id":"https://openalex.org/keywords/epsilon-expansion","display_name":"epsilon expansion","score":0.9279999732971191},{"id":"https://openalex.org/keywords/anomalous-dimensions","display_name":"anomalous dimensions","score":0.7300000190734863},{"id":"https://openalex.org/keywords/weyl-invariance","display_name":"Weyl invariance","score":0.7599999904632568},{"id":"https://openalex.org/keywords/einstein-hilbert-action","display_name":"Einstein-Hilbert action","score":0.6890000104904175},{"id":"https://openalex.org/keywords/gibbons-hawking-york-boundary-term","display_name":"Gibbons-Hawking-York boundary term","score":0.972000002861023},{"id":"https://openalex.org/keywords/beta-function","display_name":"beta function","score":0.5960000157356262},{"id":"https://openalex.org/keywords/critical-exponents","display_name":"critical exponents","score":0.8759999871253967},{"id":"https://openalex.org/keywords/renormalizability","display_name":"renormalizability","score":0.7350000143051147}],"concepts":[{"id":"https://openalex.org/C67560290","wikidata":"https://www.wikidata.org/wiki/Q17004315","display_name":"Asymptotic safety in quantum gravity","level":4,"score":0.8819296956062317},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.6706754565238953},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6536480784416199},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.6154443025588989},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.5756418108940125},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.5426661372184753},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5177044868469238},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4964480996131897},{"id":"https://openalex.org/C207740291","wikidata":"https://www.wikidata.org/wiki/Q5508844","display_name":"Functional renormalization group","level":3,"score":0.49439406394958496},{"id":"https://openalex.org/C58127210","wikidata":"https://www.wikidata.org/wiki/Q7880712","display_name":"Ultraviolet fixed point","level":5,"score":0.49091702699661255},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4736303687095642},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.4291718900203705},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4257374405860901},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.4107819199562073},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4021109938621521},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.32794445753097534},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22424882650375366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17095142602920532},{"id":"https://openalex.org/C22393281","wikidata":"https://www.wikidata.org/wiki/Q7783068","display_name":"Thermal quantum field theory","level":4,"score":0.11440899968147278},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09602892398834229},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08345994353294373}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physrevd.96.126016","doi":"https://doi.org/10.1103/physrevd.96.126016","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevd.96.126016","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1702.03577","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.03577","pdf_url":"https://arxiv.org/pdf/1702.03577","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1702.03577","doi":"https://doi.org/10.48550/arxiv.1702.03577","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1702.03577","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1702.03577","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.03577","pdf_url":"https://arxiv.org/pdf/1702.03577","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2966159758","display_name":null,"funder_award_id":"ERC-AdG-290623","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":148,"referenced_works":["https://openalex.org/W164292467","https://openalex.org/W173424860","https://openalex.org/W824603711","https://openalex.org/W1479704546","https://openalex.org/W1493751600","https://openalex.org/W1514225226","https://openalex.org/W1532135223","https://openalex.org/W1597171048","https://openalex.org/W1637259704","https://openalex.org/W1683065088","https://openalex.org/W1806449989","https://openalex.org/W1854698167","https://openalex.org/W1865700491","https://openalex.org/W1881572166","https://openalex.org/W1882446237","https://openalex.org/W1883879178","https://openalex.org/W1891526225","https://openalex.org/W1922351140","https://openalex.org/W1964789711","https://openalex.org/W1967708008","https://openalex.org/W1968495848","https://openalex.org/W1971835751","https://openalex.org/W1972807098","https://openalex.org/W1978965532","https://openalex.org/W1982018756","https://openalex.org/W1986329418","https://openalex.org/W1986535718","https://openalex.org/W1993079947","https://openalex.org/W1996812461","https://openalex.org/W2000661521","https://openalex.org/W2000757428","https://openalex.org/W2001146399","https://openalex.org/W2002257947","https://openalex.org/W2002458140","https://openalex.org/W2002812717","https://openalex.org/W2004612614","https://openalex.org/W2004790699","https://openalex.org/W2005898424","https://openalex.org/W2007728513","https://openalex.org/W2007955207","https://openalex.org/W2008015652","https://openalex.org/W2008697074","https://openalex.org/W2009066706","https://openalex.org/W2011816814","https://openalex.org/W2012052988","https://openalex.org/W2019238454","https://openalex.org/W2019616244","https://openalex.org/W2022372483","https://openalex.org/W2027802481","https://openalex.org/W2028402761","https://openalex.org/W2028473421","https://openalex.org/W2029121797","https://openalex.org/W2032957881","https://openalex.org/W2036625768","https://openalex.org/W2038076545","https://openalex.org/W2043689755","https://openalex.org/W2043898304","https://openalex.org/W2044065854","https://openalex.org/W2046511425","https://openalex.org/W2046864749","https://openalex.org/W2046895075","https://openalex.org/W2047055602","https://openalex.org/W2047195019","https://openalex.org/W2047450757","https://openalex.org/W2050674235","https://openalex.org/W2052024746","https://openalex.org/W2052810501","https://openalex.org/W2053324083","https://openalex.org/W2053801968","https://openalex.org/W2060990813","https://openalex.org/W2062400016","https://openalex.org/W2063231037","https://openalex.org/W2064205549","https://openalex.org/W2065275068","https://openalex.org/W2067661011","https://openalex.org/W2068885048","https://openalex.org/W2070152649","https://openalex.org/W2079194553","https://openalex.org/W2079845879","https://openalex.org/W2083642791","https://openalex.org/W2084068075","https://openalex.org/W2084916116","https://openalex.org/W2085651520","https://openalex.org/W2086347025","https://openalex.org/W2086731073","https://openalex.org/W2090311663","https://openalex.org/W2090416852","https://openalex.org/W2090445218","https://openalex.org/W2092721779","https://openalex.org/W2092824337","https://openalex.org/W2093309244","https://openalex.org/W2094639869","https://openalex.org/W2098261606","https://openalex.org/W2101483245","https://openalex.org/W2106618730","https://openalex.org/W2114858988","https://openalex.org/W2116124918","https://openalex.org/W2118598149","https://openalex.org/W2120621694","https://openalex.org/W2124261826","https://openalex.org/W2134583661","https://openalex.org/W2134821743","https://openalex.org/W2144012213","https://openalex.org/W2146476052","https://openalex.org/W2148908350","https://openalex.org/W2158631147","https://openalex.org/W2162316955","https://openalex.org/W2163272395","https://openalex.org/W2176355844","https://openalex.org/W2183668607","https://openalex.org/W2190535973","https://openalex.org/W2203635712","https://openalex.org/W2211830106","https://openalex.org/W2226932147","https://openalex.org/W2238427482","https://openalex.org/W2254692081","https://openalex.org/W2269299334","https://openalex.org/W2292240281","https://openalex.org/W2340298049","https://openalex.org/W2345802129","https://openalex.org/W2346778227","https://openalex.org/W2403191987","https://openalex.org/W2430315989","https://openalex.org/W2503158983","https://openalex.org/W2540773487","https://openalex.org/W2549641011","https://openalex.org/W2554728389","https://openalex.org/W2591541672","https://openalex.org/W2592434037","https://openalex.org/W2599891974","https://openalex.org/W2953259957","https://openalex.org/W3100112044","https://openalex.org/W3100668427","https://openalex.org/W3101017700","https://openalex.org/W3101120374","https://openalex.org/W3101166808","https://openalex.org/W3101183865","https://openalex.org/W3101631370","https://openalex.org/W3101718537","https://openalex.org/W3101877403","https://openalex.org/W3102465977","https://openalex.org/W3103573185","https://openalex.org/W3103847925","https://openalex.org/W3105834911","https://openalex.org/W3105903783","https://openalex.org/W3106122882","https://openalex.org/W3124469772","https://openalex.org/W4240228183"],"related_works":["https://openalex.org/W2030583794","https://openalex.org/W4410512038","https://openalex.org/W75004986","https://openalex.org/W3080844081","https://openalex.org/W2521846787","https://openalex.org/W2118598149","https://openalex.org/W2566363048","https://openalex.org/W1573015763","https://openalex.org/W2059048134","https://openalex.org/W3105834911"],"abstract_inverted_index":{"The":[0],"methods":[1],"of":[2,17,49,52,56,66,78,84,131,181,196],"the":[3,7,15,38,50,53,59,64,70,75,82,90,94,104,108,126,144,159,173,177],"renormalization":[4,33,39],"group":[5,40],"and":[6,63,97,147,164],"$\u03f5$-expansion":[8,109],"are":[9,35,162,185,199],"applied":[10],"to":[11,118,129,171],"quantum":[12,207],"gravity":[13,116,208],"revealing":[14],"existence":[16],"an":[18],"asymptotically":[19],"safe":[20],"fixed":[21,153,157],"point":[22,158],"in":[23],"spacetime":[24,85],"dimensions":[25,77,112,161,184,189],"higher":[26],"than":[27],"two.":[28],"To":[29],"facilitate":[30],"this,":[31],"physical":[32,54],"schemes":[34,136],"exploited":[36],"where":[37],"flow":[41,71],"equations":[42],"take":[43],"a":[44,149,179,193,203],"form":[45],"which":[46,137],"is":[47,101,122,202,209],"independent":[48],"parameterisation":[51],"degrees":[55],"freedom":[57],"(i.e.":[58],"gauge":[60],"fixing":[61],"condition":[62],"choice":[65],"field":[67],"variables).":[68],"Instead":[69],"equation":[72],"depends":[73],"on":[74],"anomalous":[76,160],"reference":[79],"observables.":[80],"In":[81,135],"presence":[83],"boundaries":[86],"we":[87,113,142],"find":[88,148],"that":[89,191,206],"required":[91],"balance":[92],"between":[93],"Einstein-Hilbert":[95],"action":[96],"Gibbons-Hawking-York":[98],"boundary":[99],"term":[100],"preserved":[102],"by":[103,125],"beta":[105],"functions.":[106],"Exploiting":[107],"near":[110],"two":[111],"consider":[114],"Einstein":[115],"coupled":[117],"matter.":[119],"Scheme":[120],"independence":[121],"generically":[123],"obscured":[124],"loop-expansion":[127],"due":[128],"breaking":[130],"two-dimensional":[132,139],"Weyl":[133,140],"invariance.":[134],"preserve":[138],"invariance":[141],"avoid":[143],"loop":[145,169],"expansion":[146],"unique":[150],"ultraviolet":[151],"(UV)":[152],"point.":[154],"At":[155],"this":[156],"large":[163],"one":[165],"must":[166],"resum":[167],"all":[168],"orders":[170],"obtain":[172],"critical":[174],"exponents.":[175],"Performing":[176],"resummation":[178],"set":[180],"universal":[182],"scaling":[183,188],"found.":[186],"These":[187],"show":[190],"only":[192],"finite":[194],"number":[195],"matter":[197],"interactions":[198],"relevant.":[200],"This":[201],"strong":[204],"indication":[205],"renormalizable.":[210]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2017-03-03T00:00:00"}
