{"id":"https://openalex.org/W2053898342","doi":"https://doi.org/10.1063/1.526780","title":"Existence theorem for gauge algebra","display_name":"Existence theorem for gauge algebra","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W2053898342","doi":"https://doi.org/10.1063/1.526780","mag":"2053898342"},"language":"en","primary_location":{"id":"doi:10.1063/1.526780","doi":"https://doi.org/10.1063/1.526780","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.526780","pdf_url":null,"source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5084061507","display_name":"Igor Anatol'evich Batalin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I118517470","display_name":"P.N. Lebedev Physical Institute of the Russian Academy of Sciences","ror":"https://ror.org/01jkd3546","country_code":"RU","type":"facility","lineage":["https://openalex.org/I118517470","https://openalex.org/I1313323035","https://openalex.org/I2800498218","https://openalex.org/I4210096333"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. A. Batalin","raw_affiliation_strings":["Physical Lebedev Institute, Academy of Sciences, Leninsky Prospect 53, Moscow, 117924, USSR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physical Lebedev Institute, Academy of Sciences, Leninsky Prospect 53, Moscow, 117924, USSR","institution_ids":["https://openalex.org/I118517470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078380684","display_name":"G. A. Vilkovisky","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. A. Vilkovisky","raw_affiliation_strings":["State Committee of Standards, Lehinsky Prospect 9, Moscow, 117049, USSR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Committee of Standards, Lehinsky Prospect 9, Moscow, 117049, USSR","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.4917,"has_fulltext":false,"cited_by_count":304,"citation_normalized_percentile":{"value":0.93116045,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"1","first_page":"172","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.1754000037908554,"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.1754000037908554,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.16850000619888306,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.11249999701976776,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/gauge-algebra","display_name":"gauge algebra","score":0.9279999732971191},{"id":"https://openalex.org/keywords/gauge-action","display_name":"gauge action","score":0.7229999899864197},{"id":"https://openalex.org/keywords/loop-expansion","display_name":"loop expansion","score":0.9750000238418579},{"id":"https://openalex.org/keywords/structure-functions","display_name":"structure functions","score":0.847000002861023},{"id":"https://openalex.org/keywords/existence-theorems","display_name":"existence theorems","score":0.6809999942779541},{"id":"https://openalex.org/keywords/uniqueness","display_name":"uniqueness","score":0.7940000295639038},{"id":"https://openalex.org/keywords/covariant-quantization","display_name":"covariant quantization","score":0.8889999985694885},{"id":"https://openalex.org/keywords/quantum-gauge-theory","display_name":"quantum gauge theory","score":0.7910000085830688}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6692476272583008},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.5510011911392212},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5200997591018677},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4996764659881592},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49677902460098267},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.4771296977996826},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4679880142211914},{"id":"https://openalex.org/C39366733","wikidata":"https://www.wikidata.org/wiki/Q2752849","display_name":"BRST quantization","level":3,"score":0.46391668915748596},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.4508603811264038},{"id":"https://openalex.org/C102650682","wikidata":"https://www.wikidata.org/wiki/Q5527631","display_name":"Gauge covariant derivative","level":5,"score":0.44972774386405945},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.44113290309906006},{"id":"https://openalex.org/C31593994","wikidata":"https://www.wikidata.org/wiki/Q832289","display_name":"Gauge fixing","level":4,"score":0.42793336510658264},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.391730397939682},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3617132306098938},{"id":"https://openalex.org/C65211518","wikidata":"https://www.wikidata.org/wiki/Q16743426","display_name":"Introduction to gauge theory","level":3,"score":0.34671974182128906},{"id":"https://openalex.org/C200161520","wikidata":"https://www.wikidata.org/wiki/Q5527630","display_name":"Gauge anomaly","level":4,"score":0.22644385695457458},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1727786362171173},{"id":"https://openalex.org/C40263606","wikidata":"https://www.wikidata.org/wiki/Q105580","display_name":"Gauge boson","level":3,"score":0.13086116313934326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.526780","doi":"https://doi.org/10.1063/1.526780","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.526780","pdf_url":null,"source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1499035098","https://openalex.org/W1645008578","https://openalex.org/W1970924173","https://openalex.org/W1972342483","https://openalex.org/W1998086706","https://openalex.org/W2005196146","https://openalex.org/W2016939318","https://openalex.org/W2021626442","https://openalex.org/W2032989271","https://openalex.org/W2033821302","https://openalex.org/W2039680357","https://openalex.org/W2043970584","https://openalex.org/W2048447773","https://openalex.org/W2050206614","https://openalex.org/W2063793082","https://openalex.org/W2078426698","https://openalex.org/W2082118678","https://openalex.org/W2083407626","https://openalex.org/W2089754965","https://openalex.org/W2092699188","https://openalex.org/W2136568951","https://openalex.org/W2156682843","https://openalex.org/W4211142276","https://openalex.org/W4234492749","https://openalex.org/W4254994413"],"related_works":["https://openalex.org/W3030442726","https://openalex.org/W3100423742","https://openalex.org/W2004376372","https://openalex.org/W1969831957","https://openalex.org/W2078426698","https://openalex.org/W2078835458","https://openalex.org/W2598968246","https://openalex.org/W2998464692","https://openalex.org/W1965668876","https://openalex.org/W7140033843"],"abstract_inverted_index":{"A":[0],"general":[1,28],"gauge":[2,29],"action":[3],"is":[4,31,48,54],"defined":[5],"by":[6],"postulating":[7],"a":[8],"minimum":[9],"of":[10,17,26,38,40,52],"its":[11],"properties":[12],"necessary":[13],"for":[14],"the":[15,21,27,41,67],"existence":[16,39],"loop":[18],"expansion":[19],"in":[20,45,64],"quantum":[22],"theory.":[23],"The":[24,36,50],"structure":[25,42],"algebra":[30],"derived":[32],"from":[33],"these":[34],"postulates.":[35],"proof":[37],"functions,":[43],"lacking":[44],"previous":[46],"works,":[47],"given.":[49],"question":[51],"uniqueness":[53],"also":[55],"completely":[56],"cleared":[57],"up.":[58],"Some":[59],"unsolved":[60],"problems":[61],"are":[62],"discussed":[63],"connection":[65],"with":[66],"covariant-quantization":[68],"conjecture.":[69]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}