{"id":"https://openalex.org/W3216596196","doi":"https://doi.org/10.1103/physrevlett.127.230601","title":"Operator-algebraic renormalization and wavelets","display_name":"Operator-algebraic renormalization and wavelets","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3216596196","doi":"https://doi.org/10.1103/physrevlett.127.230601","mag":"3216596196"},"language":"en","primary_location":{"id":"pmh:oai:art.torvergata.it:2108/302748","doi":"https://doi.org/10.1103/physrevlett.127.230601","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/302748","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5022380557","display_name":"Alexander Stottmeister","orcid":"https://orcid.org/0000-0002-0145-0877","observed_orcids":["https://orcid.org/0000-0002-0145-0877"]},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stottmeister A.","raw_affiliation_strings":["Institute of Theoretical Physics, University of Hannover, Appelstra\u00dfe 2, 30167 Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, University of Hannover, Appelstra\u00dfe 2, 30167 Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032251683","display_name":"Vincenzo Morinelli","orcid":"https://orcid.org/0000-0002-5875-4468","observed_orcids":["https://orcid.org/0000-0002-5875-4468"]},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Morinelli V.","raw_affiliation_strings":["Dipartimento di Matematica, Sapienza Universit\u00e0 di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Sapienza Universit\u00e0 di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080453404","display_name":"Gerardo Morsella","orcid":"https://orcid.org/0000-0003-2370-6308","observed_orcids":["https://orcid.org/0000-0003-2370-6308"]},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Morsella G.","raw_affiliation_strings":["Department of Mathematics, University of Rome \"Tor Vergata\", Via della Ricerca Scientifica 1, 00133 Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome \"Tor Vergata\", Via della Ricerca Scientifica 1, 00133 Roma, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035067580","display_name":"Yoh Tanimoto","orcid":"https://orcid.org/0000-0002-4892-5438","observed_orcids":["https://orcid.org/0000-0002-4892-5438"]},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Tanimoto Y.","raw_affiliation_strings":["Department of Mathematics, University of Rome \"Tor Vergata\", Via della Ricerca Scientifica 1, 00133 Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome \"Tor Vergata\", Via della Ricerca Scientifica 1, 00133 Roma, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2876,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.78711052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"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/T11804","display_name":"Quantum many-body systems","score":0.9057999849319458,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11804","display_name":"Quantum many-body systems","score":0.9057999849319458,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.040699999779462814,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.016300000250339508,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/renormalization-group","display_name":"renormalization group","score":0.9229999780654907},{"id":"https://openalex.org/keywords/operator-algebras","display_name":"operator algebras","score":0.8870000243186951},{"id":"https://openalex.org/keywords/wavelets","display_name":"wavelets","score":0.9269999861717224},{"id":"https://openalex.org/keywords/free-field","display_name":"free field","score":0.7540000081062317},{"id":"https://openalex.org/keywords/scaling-limits","display_name":"scaling limits","score":0.7670000195503235},{"id":"https://openalex.org/keywords/lieb-robinson-bound","display_name":"Lieb-Robinson bound","score":0.9210000038146973},{"id":"https://openalex.org/keywords/causality","display_name":"causality","score":0.9779999852180481},{"id":"https://openalex.org/keywords/multiscale-entanglement-renormalization-ansatz","display_name":"multiscale entanglement renormalization ansatz","score":0.9570000171661377},{"id":"https://openalex.org/keywords/compactly-supported-wavelets","display_name":"compactly supported wavelets","score":0.7070000171661377},{"id":"https://openalex.org/keywords/quantum-field-theory","display_name":"quantum field theory","score":0.6290000081062317}],"concepts":[{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.6944872140884399},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5848478078842163},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.5457720756530762},{"id":"https://openalex.org/C207740291","wikidata":"https://www.wikidata.org/wiki/Q5508844","display_name":"Functional renormalization group","level":3,"score":0.5241149663925171},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.4998176097869873},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.49834609031677246},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4948500990867615},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4918811321258545},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.48362910747528076},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.48278629779815674},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.4535168707370758},{"id":"https://openalex.org/C67560290","wikidata":"https://www.wikidata.org/wiki/Q17004315","display_name":"Asymptotic safety in quantum gravity","level":4,"score":0.4485187530517578},{"id":"https://openalex.org/C24084028","wikidata":"https://www.wikidata.org/wiki/Q7429781","display_name":"Scaling limit","level":3,"score":0.4350968897342682},{"id":"https://openalex.org/C42238305","wikidata":"https://www.wikidata.org/wiki/Q5370778","display_name":"Lattice field theory","level":3,"score":0.42701074481010437},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.42517679929733276},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.41569268703460693},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3510952889919281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32574528455734253},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.20620465278625488},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.1603633463382721},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:art.torvergata.it:2108/302748","doi":"https://doi.org/10.1103/physrevlett.127.230601","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/302748","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7441977073","display_name":null,"funder_award_id":"669240","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W181307161","https://openalex.org/W574370508","https://openalex.org/W585590740","https://openalex.org/W603265337","https://openalex.org/W1527269000","https://openalex.org/W1675262893","https://openalex.org/W1967300267","https://openalex.org/W1968431963","https://openalex.org/W1980149518","https://openalex.org/W1982899292","https://openalex.org/W1984300077","https://openalex.org/W1998236996","https://openalex.org/W2006783121","https://openalex.org/W2011153186","https://openalex.org/W2011290825","https://openalex.org/W2014140787","https://openalex.org/W2016407890","https://openalex.org/W2030826538","https://openalex.org/W2037768897","https://openalex.org/W2052810501","https://openalex.org/W2055670190","https://openalex.org/W2086130961","https://openalex.org/W2088527461","https://openalex.org/W2092179178","https://openalex.org/W2093351495","https://openalex.org/W2093774709","https://openalex.org/W2154815292","https://openalex.org/W2165008728","https://openalex.org/W2260852807","https://openalex.org/W2319680621","https://openalex.org/W2339349602","https://openalex.org/W2396246825","https://openalex.org/W2406369867","https://openalex.org/W2502034298","https://openalex.org/W2609478826","https://openalex.org/W2620811553","https://openalex.org/W2738590373","https://openalex.org/W2800409793","https://openalex.org/W2895223753","https://openalex.org/W2910067784","https://openalex.org/W2964219573","https://openalex.org/W3093614699","https://openalex.org/W3094105145","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W3093614699","https://openalex.org/W2260852807","https://openalex.org/W2901021819","https://openalex.org/W2081949028","https://openalex.org/W4394973059","https://openalex.org/W4251143815","https://openalex.org/W2396138047","https://openalex.org/W2771816234","https://openalex.org/W2338324936","https://openalex.org/W2132625070"],"abstract_inverted_index":{"We":[0],"report":[1],"on":[2],"a":[3,15],"rigorous":[4],"operator-algebraic":[5],"renormalization":[6,32,70],"group":[7,33],"scheme":[8,63],"and":[9,72],"construct":[10],"the":[11,21,38,45,67,74],"free":[12],"field":[13,47],"with":[14,44,66],"continuous":[16],"action":[17],"of":[18,24,77],"translations":[19],"as":[20],"scaling":[22,39],"limit":[23,76],"Hamiltonian":[25],"lattice":[26,42,60],"systems":[27],"using":[28],"wavelet":[29],"theory.":[30],"A":[31],"step":[34],"is":[35,64],"determined":[36],"by":[37,49],"equation":[40],"identifying":[41],"observables":[43],"continuum":[46],"smeared":[48],"compactly":[50],"supported":[51],"wavelets.":[52],"Causality":[53],"follows":[54],"from":[55],"Lieb-Robinson":[56],"bounds":[57],"for":[58],"harmonic":[59],"systems.":[61,79],"The":[62],"related":[65],"multiscale":[68],"entanglement":[69],"ansatz":[71],"augments":[73],"semicontinuum":[75],"quantum":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-12-06T00:00:00"}
