{"id":"https://openalex.org/W3125815743","doi":null,"title":"Remarks on noncommutativity and scale anomaly in planar quantum mechanics","display_name":"Remarks on noncommutativity and scale anomaly in planar quantum mechanics","publication_year":2021,"publication_date":"2021-01-18","ids":{"openalex":"https://openalex.org/W3125815743","mag":"3125815743"},"language":"en","primary_location":{"id":"mag:3125815743","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.07076","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.07076","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070853822","display_name":"Partha Nandi","orcid":"https://orcid.org/0000-0001-5290-494X","observed_orcids":["https://orcid.org/0000-0001-5290-494X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Partha Nandi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057008225","display_name":"Sankarshan Sahu","orcid":"https://orcid.org/0000-0003-0087-0447","observed_orcids":["https://orcid.org/0000-0003-0087-0447"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sankarshan Sahu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0087-0447","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070088214","display_name":"Sayan Kumar Pal","orcid":"https://orcid.org/0000-0002-9286-170X","observed_orcids":["https://orcid.org/0000-0002-9286-170X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sayan Kumar Pal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9984999895095825,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9984999895095825,"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":0.00019999999494757503,"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/T10899","display_name":"Advanced Operator Algebra Research","score":9.999999747378752e-05,"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/noncommutative-space","display_name":"noncommutative space","score":0.7919999957084656},{"id":"https://openalex.org/keywords/scale-anomaly","display_name":"scale anomaly","score":0.9089999794960022},{"id":"https://openalex.org/keywords/dilatation-symmetry","display_name":"dilatation symmetry","score":0.9419999718666077},{"id":"https://openalex.org/keywords/noncommutative-quantum-mechanics","display_name":"noncommutative quantum mechanics","score":0.8240000009536743},{"id":"https://openalex.org/keywords/peierls-substitution","display_name":"Peierls substitution","score":0.9950000047683716},{"id":"https://openalex.org/keywords/fujikawa-method","display_name":"Fujikawa method","score":0.6970000267028809},{"id":"https://openalex.org/keywords/renormalization","display_name":"renormalization","score":0.9100000262260437},{"id":"https://openalex.org/keywords/anomalous-ward-identities","display_name":"anomalous Ward identities","score":0.7929999828338623}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.6979845762252808},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.6479679346084595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5741720795631409},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5516864657402039},{"id":"https://openalex.org/C163845019","wikidata":"https://www.wikidata.org/wiki/Q5101826","display_name":"Chiral anomaly","level":3,"score":0.5306747555732727},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.46144455671310425},{"id":"https://openalex.org/C12997251","wikidata":"https://www.wikidata.org/wiki/Q567560","display_name":"Anomaly (physics)","level":2,"score":0.43325281143188477},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.39586061239242554},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38603129982948303},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3726189136505127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.306820273399353},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"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":"mag:3125815743","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.07076","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3125815743","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.07076","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W244257931","https://openalex.org/W1520510487","https://openalex.org/W1585733563","https://openalex.org/W1979772196","https://openalex.org/W1981452642","https://openalex.org/W1982057017","https://openalex.org/W1991407593","https://openalex.org/W1995789404","https://openalex.org/W2004126514","https://openalex.org/W2006974785","https://openalex.org/W2008135199","https://openalex.org/W2009644720","https://openalex.org/W2012417976","https://openalex.org/W2017586559","https://openalex.org/W2026262841","https://openalex.org/W2031919614","https://openalex.org/W2036622549","https://openalex.org/W2042144794","https://openalex.org/W2046474690","https://openalex.org/W2053729723","https://openalex.org/W2059545358","https://openalex.org/W2060022489","https://openalex.org/W2060629168","https://openalex.org/W2061614364","https://openalex.org/W2063827980","https://openalex.org/W2074272320","https://openalex.org/W2074940042","https://openalex.org/W2075452993","https://openalex.org/W2075514521","https://openalex.org/W2080756316","https://openalex.org/W2082512240","https://openalex.org/W2086354538","https://openalex.org/W2096724885","https://openalex.org/W2098391817","https://openalex.org/W2119259512","https://openalex.org/W2138052196","https://openalex.org/W2144553242","https://openalex.org/W2146808728","https://openalex.org/W2171414895","https://openalex.org/W2223420584","https://openalex.org/W2488188561","https://openalex.org/W2594115547","https://openalex.org/W2611696674","https://openalex.org/W2621331137","https://openalex.org/W2756494084","https://openalex.org/W2793902220","https://openalex.org/W2941182509","https://openalex.org/W2950761253","https://openalex.org/W2950771566","https://openalex.org/W2986410708","https://openalex.org/W3004758970","https://openalex.org/W3098632776","https://openalex.org/W3099209356","https://openalex.org/W3100450066","https://openalex.org/W3106353371"],"related_works":["https://openalex.org/W3188723877","https://openalex.org/W7100022860","https://openalex.org/W4385879881","https://openalex.org/W2243495265","https://openalex.org/W2042144794","https://openalex.org/W2963493342","https://openalex.org/W2950101946","https://openalex.org/W2063827980","https://openalex.org/W2030103341","https://openalex.org/W2951035108"],"abstract_inverted_index":{"A":[0],"study":[1],"of":[2,131,143],"a":[3,18,45,53,148],"riveting":[4],"connection":[5],"between":[6,39,66,157],"noncommutativity":[7,38],"and":[8,62,71,121],"the":[9,30,57,64,67,72,84,95,102,107,141,154],"anomalous":[10,132],"scale":[11,97,119,144],"or":[12,98],"dilatation":[13,26,99],"symmetry":[14],"is":[15,35,122,147],"presented":[16],"for":[17,56,94,101],"generalized":[19,73,103],"quantum":[20,60,150],"Hall":[21],"system":[22,61,70],"due":[23,87],"to":[24,88],"time":[25],"transformations.":[27],"On":[28],"using":[29],"Peierls":[31],"substitution":[32],"scheme,":[33],"it":[34],"shown":[36],"that":[37],"spatial":[40,158],"coordinates":[41],"emerges":[42],"naturally":[43],"at":[44],"large":[46],"magnetic":[47],"field":[48],"limit.":[49],"Thereafter,":[50],"we":[51,90,127],"derive":[52,91,128],"path-integral":[54,85],"action":[55],"corresponding":[58],"noncommutative":[59,69,155],"discuss":[63],"equivalence":[65],"considered":[68],"Landau":[74,104],"problem":[75],"thus":[76],"rendering":[77],"an":[78,92],"effective":[79],"commmutative":[80],"description.":[81],"By":[82],"exploiting":[83],"method":[86],"Fujikawa,":[89],"expression":[93],"unintegrated":[96],"anomaly":[100,145],"system,":[105],"wherein":[106],"anomalies":[108],"are":[109],"identified":[110],"with":[111],"Jacobian":[112],"factors":[113],"arising":[114],"from":[115,135,153],"measure":[116],"change":[117],"under":[118],"transformation":[120],"subsequently":[123],"renormalised.":[124],"In":[125],"fact,":[126],"exact":[129],"expressions":[130],"Ward":[133],"identities":[134],"which":[136,146],"one":[137],"may":[138],"point":[139],"out":[140],"existence":[142],"purely":[149],"effect":[151],"induced":[152],"structure":[156],"coordinates.":[159]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-02-01T00:00:00"}
