{"id":"https://openalex.org/W805020942","doi":null,"title":"Path Integral Techniques in Conformal Field Theory","display_name":"Path Integral Techniques in Conformal Field Theory","publication_year":2004,"publication_date":"2004-12-03","ids":{"openalex":"https://openalex.org/W805020942","mag":"805020942"},"language":"en","primary_location":{"id":"mag:805020942","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/hep-th/0412031v2","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":"http://arxiv.org/abs/hep-th/0412031v2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114249296","display_name":"Andr\u00e9 van Tonder","orcid":"https://orcid.org/0000-0002-2120-2512","observed_orcids":["https://orcid.org/0000-0002-2120-2512"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andr\u00e9 van Tonder","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5114249296"],"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.8593999743461609,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.8593999743461609,"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":0.12240000069141388,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.0020000000949949026,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/trace-anomaly","display_name":"trace anomaly","score":0.9079999923706055},{"id":"https://openalex.org/keywords/two-dimensional-conformal-field-theory","display_name":"two-dimensional conformal field theory","score":0.9049999713897705},{"id":"https://openalex.org/keywords/conformally-coupled-scalar-field","display_name":"conformally coupled scalar field","score":0.9589999914169312},{"id":"https://openalex.org/keywords/fujikawa-method","display_name":"Fujikawa method","score":0.9729999899864197},{"id":"https://openalex.org/keywords/pauli-villars-regularization","display_name":"Pauli-Villars regularization","score":0.9599999785423279},{"id":"https://openalex.org/keywords/energy-momentum-tensor","display_name":"energy-momentum tensor","score":0.921999990940094},{"id":"https://openalex.org/keywords/anomalous-ward-identities","display_name":"anomalous Ward identities","score":0.8360000252723694},{"id":"https://openalex.org/keywords/contact-terms","display_name":"contact terms","score":0.7250000238418579},{"id":"https://openalex.org/keywords/change-of-variables-formula","display_name":"change of variables formula","score":0.871999979019165},{"id":"https://openalex.org/keywords/path-integral-measure","display_name":"path integral measure","score":0.6819999814033508}],"concepts":[{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.7157430648803711},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.6117614507675171},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6112661957740784},{"id":"https://openalex.org/C20167640","wikidata":"https://www.wikidata.org/wiki/Q5160243","display_name":"Conformal anomaly","level":4,"score":0.5856853723526001},{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.49362266063690186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44878247380256653},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43957749009132385},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.43852266669273376},{"id":"https://openalex.org/C18199665","wikidata":"https://www.wikidata.org/wiki/Q3883909","display_name":"Operator product expansion","level":2,"score":0.41484397649765015},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39824235439300537},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.382748007774353},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2591809332370758},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25390923023223877},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"mag:805020942","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/hep-th/0412031v2","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},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.268.5861","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.268.5861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/0412031v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.268.6349","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.268.6349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/0412031v2.pdf","raw_type":"text"}],"best_oa_location":{"id":"mag:805020942","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/hep-th/0412031v2","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":14,"referenced_works":["https://openalex.org/W599960397","https://openalex.org/W1520510487","https://openalex.org/W1676019512","https://openalex.org/W1988110282","https://openalex.org/W1989964597","https://openalex.org/W1992204683","https://openalex.org/W2006873467","https://openalex.org/W2039016761","https://openalex.org/W2039343706","https://openalex.org/W2052443970","https://openalex.org/W2058834119","https://openalex.org/W2088240437","https://openalex.org/W2137904670","https://openalex.org/W2156026402"],"related_works":["https://openalex.org/W2586661887","https://openalex.org/W2120031436","https://openalex.org/W2063959531","https://openalex.org/W2053729723","https://openalex.org/W2057567929","https://openalex.org/W2015570707","https://openalex.org/W2027036488","https://openalex.org/W2043334427","https://openalex.org/W2130215090","https://openalex.org/W4280534128"],"abstract_inverted_index":{"We":[0,14],"present":[1],"the":[2,16,23,29,40,45,50,54,58,74,80,88,91,96,105,128,134,140,143,147],"theory":[3],"of":[4,22,25,90,104,130],"a":[5,32,36,61,123],"two-dimensional":[6],"conformal":[7,17,144],"scalar":[8],"field":[9],"using":[10,19],"path":[11,46,55,92,135],"integral":[12,47,56,93,136],"techniques.":[13],"derive":[15],"anomaly":[18,41,145],"an":[20,84],"adaptation":[21],"method":[24],"Fujikawa,":[26],"and":[27,66,100,137,146],"compare":[28],"result":[30],"with":[31],"derivation":[33],"based":[34],"on":[35],"Pauli-Villars":[37],"measure,":[38],"where":[39],"is":[42,60,71],"shifted":[43],"from":[44],"measure":[48],"to":[49,73,121,138],"energy-momentum":[51,59,116,148],"trace.":[52],"In":[53],"approach":[57,94],"true":[62],"coordinate-invariant":[63],"tensor":[64],"quantity,":[65],"we":[67,118],"explain":[68],"how":[69],"it":[70],"related":[72],"corresponding":[75],"non-tensor":[76],"object":[77],"arising":[78,113],"in":[79,114],"operator":[81],"approach,":[82],"obtaining":[83],"intuitive":[85],"explanation":[86],"within":[87],"context":[89],"for":[95,133],"anomalous":[97,101],"transformation":[98],"law":[99],"Ward":[102],"identities":[103],"latter.":[106],"After":[107],"carefully":[108],"calculating":[109],"nontrivial":[110],"contact":[111],"terms":[112],"certain":[115],"products,":[117],"use":[119],"these":[120],"provide":[122],"simple":[124],"consistency":[125],"check":[126],"confirming":[127],"change":[129],"variables":[131],"formula":[132],"review":[139],"relationship":[141],"between":[142],"two-point":[149],"functions.":[150]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}