{"id":"https://openalex.org/W1987950571","doi":"https://doi.org/10.1145/1277500.1277504","title":"Automating renormalization of quantum field theories","display_name":"Automating renormalization of quantum field theories","publication_year":2007,"publication_date":"2007-07-25","ids":{"openalex":"https://openalex.org/W1987950571","doi":"https://doi.org/10.1145/1277500.1277504","mag":"1987950571"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1277500.1277504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"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/A5012784412","display_name":"A.D. Kennedy","orcid":"https://orcid.org/0000-0002-0286-1088"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. D. Kennedy","raw_affiliation_strings":["University of Edinburgh, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"University of Edinburgh, Edinburgh, Scotland","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077946640","display_name":"T. Binoth","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Binoth","raw_affiliation_strings":["University of Edinburgh, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"University of Edinburgh, Edinburgh, Scotland","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088213519","display_name":"Thomas Rippon","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Rippon","raw_affiliation_strings":["University of Edinburgh, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"University of Edinburgh, Edinburgh, Scotland","institution_ids":["https://openalex.org/I98677209"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":1,"citation_normalized_percentile":{"value":0.55,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":63,"max":70},"biblio":{"volume":null,"issue":null,"first_page":"18","last_page":"27"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.9991,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.9991,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.989,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9887,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/feynman-integral","display_name":"Feynman integral","score":0.6375228},{"id":"https://openalex.org/keywords/causal-loop-diagram","display_name":"Causal loop diagram","score":0.4305911}],"concepts":[{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.80885905},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.6866888},{"id":"https://openalex.org/C65574998","wikidata":"https://www.wikidata.org/wiki/Q386272","display_name":"Feynman diagram","level":2,"score":0.64802885},{"id":"https://openalex.org/C2992379347","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Feynman integral","level":3,"score":0.6375228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.57890576},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.56227887},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.54583776},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.51606363},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5004163},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49946165},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.4801985},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.46500075},{"id":"https://openalex.org/C144400606","wikidata":"https://www.wikidata.org/wiki/Q2412982","display_name":"Causal loop diagram","level":3,"score":0.4305911},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.42199838},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42089874},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.32786983},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29299933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24098057},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22044799},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.186759},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16217402},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.14325029},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12084034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1277500.1277504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":53,"referenced_works":["https://openalex.org/W1584740348","https://openalex.org/W1633484060","https://openalex.org/W1754135042","https://openalex.org/W1969775861","https://openalex.org/W1979254649","https://openalex.org/W1981058868","https://openalex.org/W1981819786","https://openalex.org/W1986555966","https://openalex.org/W1989754794","https://openalex.org/W1992714596","https://openalex.org/W1994265177","https://openalex.org/W1995581930","https://openalex.org/W1998606263","https://openalex.org/W1999203930","https://openalex.org/W2008697074","https://openalex.org/W2014794400","https://openalex.org/W2016192256","https://openalex.org/W2020861811","https://openalex.org/W2022132320","https://openalex.org/W2033403070","https://openalex.org/W2035191745","https://openalex.org/W2040511248","https://openalex.org/W2040901504","https://openalex.org/W2041237513","https://openalex.org/W2042264204","https://openalex.org/W2045835733","https://openalex.org/W2045861352","https://openalex.org/W2057249186","https://openalex.org/W2062791252","https://openalex.org/W2065563503","https://openalex.org/W2079564342","https://openalex.org/W2090106205","https://openalex.org/W2090521335","https://openalex.org/W2106643093","https://openalex.org/W2115487809","https://openalex.org/W2116736487","https://openalex.org/W2118528884","https://openalex.org/W2125707848","https://openalex.org/W2130947467","https://openalex.org/W2132976976","https://openalex.org/W2141169826","https://openalex.org/W2147626183","https://openalex.org/W2203635712","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W3043352263","https://openalex.org/W3099313598","https://openalex.org/W3099499601","https://openalex.org/W3102738991","https://openalex.org/W3105169231","https://openalex.org/W3207119968","https://openalex.org/W4231853527","https://openalex.org/W4394638755"],"related_works":["https://openalex.org/W4294285516","https://openalex.org/W4282830131","https://openalex.org/W4247546205","https://openalex.org/W4226346561","https://openalex.org/W4221148958","https://openalex.org/W3037061948","https://openalex.org/W2949578178","https://openalex.org/W2167353904","https://openalex.org/W2165389022","https://openalex.org/W1551801105"],"abstract_inverted_index":{"We":[0,26,53],"give":[1,38],"an":[2],"overview":[3],"of":[4,42,58],"state-of-the-art":[5],"multi-loop":[6],"Feynman":[7],"diagram":[8],"computations,":[9],"and":[10,35,37,46],"explain":[11,27],"how":[12,28],"we":[13,29],"use":[14,57],"symbolic":[15,44],"manipulation":[16,49],"to":[17],"generate":[18],"renormalized":[19],"integrals":[20],"that":[21,50],"are":[22],"then":[23],"evaluated":[24],"numerically.":[25],"automate":[30],"BPHZ":[31],"renormalization":[32],"using":[33],"\"henges\"":[34],"\"sectors\",":[36],"a":[39],"brief":[40],"description":[41],"the":[43,56],"tensor":[45],"Dirac":[47],"\u03b3-matrix":[48],"is":[51],"required.":[52],"shall":[54],"compare":[55],"general":[59],"computer":[60],"algebra":[61],"systems":[62],"such":[63,69],"as":[64,70],"Maple":[65],"with":[66],"domain-specific":[67],"languages":[68],"FORM":[71],"highlighting":[72],"in":[73],"particular":[74],"memory":[75],"management":[76],"issues.":[77]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1987950571","counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2024-12-08T05:04:36.123123","created_date":"2016-06-24"}