Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2768477377', 'doi': 'https://doi.org/10.1016/j.nuclphysb.2018.05.017', 'title': 'Multiple couplings and renormalization scheme ambiguities', 'display_name': 'Multiple couplings and renormalization scheme ambiguities', 'publication_year': 2018, 'publication_date': '2018-05-23', 'ids': {'openalex': 'https://openalex.org/W2768477377', 'doi': 'https://doi.org/10.1016/j.nuclphysb.2018.05.017', 'mag': '2768477377'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.nuclphysb.2018.05.017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210194812', 'display_name': 'Nuclear Physics B', 'issn_l': '0550-3213', 'issn': ['0550-3213', '1873-1562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite', 'doaj'], 'open_access': {'is_oa': True, 'oa_status': 'diamond', 'oa_url': 'https://doi.org/10.1016/j.nuclphysb.2018.05.017', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5033301606', 'display_name': 'D. G. C. McKeon', 'orcid': 'https://orcid.org/0000-0002-6152-4495'}, 'institutions': [{'id': 'https://openalex.org/I125749732', 'display_name': 'Western University', 'ror': 'https://ror.org/02grkyz14', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I125749732']}, {'id': 'https://openalex.org/I86519414', 'display_name': 'Algoma University', 'ror': 'https://ror.org/0131d6623', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I86519414']}], 'countries': ['CA'], 'is_corresponding': True, 'raw_author_name': 'D.G.C. McKeon', 'raw_affiliation_strings': ['Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada', 'Department of Mathematics and Computer Science, Algoma University, Sault Ste. Marie, ON P6A 2G4, Canada'], 'affiliations': [{'raw_affiliation_string': 'Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada', 'institution_ids': ['https://openalex.org/I125749732']}, {'raw_affiliation_string': 'Department of Mathematics and Computer Science, Algoma University, Sault Ste. Marie, ON P6A 2G4, Canada', 'institution_ids': ['https://openalex.org/I86519414']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5027611703', 'display_name': 'Chenguang Zhao', 'orcid': 'https://orcid.org/0009-0006-3487-4015'}, 'institutions': [{'id': 'https://openalex.org/I125749732', 'display_name': 'Western University', 'ror': 'https://ror.org/02grkyz14', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I125749732']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Chenguang Zhao', 'raw_affiliation_strings': ['Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada'], 'affiliations': [{'raw_affiliation_string': 'Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada', 'institution_ids': ['https://openalex.org/I125749732']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5033301606'], 'corresponding_institution_ids': ['https://openalex.org/I125749732', 'https://openalex.org/I86519414'], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.596, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 8, 'citation_normalized_percentile': {'value': 0.661996, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 83, 'max': 84}, 'biblio': {'volume': '932', 'issue': None, 'first_page': '425', 'last_page': '438'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', 'score': 0.9999, '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': 0.9999, '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/T10095', 'display_name': 'Cosmology and Gravitation Theories', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, '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/T10224', 'display_name': 'Quantum Chromodynamics and Particle Interactions', 'score': 0.9993, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/coupling-constant', 'display_name': 'Coupling constant', 'score': 0.64419186}, {'id': 'https://openalex.org/keywords/functional-renormalization-group', 'display_name': 'Functional renormalization group', 'score': 0.5685398}, {'id': 'https://openalex.org/keywords/massless-particle', 'display_name': 'Massless particle', 'score': 0.4416396}], 'concepts': [{'id': 'https://openalex.org/C166124518', 'wikidata': 'https://www.wikidata.org/wiki/Q1047702', 'display_name': 'Renormalization', 'level': 2, 'score': 0.9474953}, {'id': 'https://openalex.org/C183276030', 'wikidata': 'https://www.wikidata.org/wiki/Q1193095', 'display_name': 'Coupling constant', 'level': 2, 'score': 0.64419186}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.61823046}, {'id': 'https://openalex.org/C68532491', 'wikidata': 'https://www.wikidata.org/wiki/Q1203669', 'display_name': 'Renormalization group', 'level': 2, 'score': 0.59781015}, {'id': 'https://openalex.org/C174256460', 'wikidata': 'https://www.wikidata.org/wiki/Q911364', 'display_name': 'Perturbation theory (quantum mechanics)', 'level': 2, 'score': 0.57604784}, {'id': 'https://openalex.org/C207740291', 'wikidata': 'https://www.wikidata.org/wiki/Q5508844', 'display_name': 'Functional renormalization group', 'level': 3, 'score': 0.5685398}, {'id': 'https://openalex.org/C39927690', 'wikidata': 'https://www.wikidata.org/wiki/Q11197', 'display_name': 'Logarithm', 'level': 2, 'score': 0.45619756}, {'id': 'https://openalex.org/C54937798', 'wikidata': 'https://www.wikidata.org/wiki/Q2024141', 'display_name': 'Massless particle', 'level': 2, 'score': 0.4416396}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.43822283}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.40601325}, {'id': 'https://openalex.org/C3079626', 'wikidata': 'https://www.wikidata.org/wiki/Q234881', 'display_name': 'Quantum electrodynamics', 'level': 1, 'score': 0.35114765}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.34475124}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.29576457}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.13228184}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.nuclphysb.2018.05.017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210194812', 'display_name': 'Nuclear Physics B', 'issn_l': '0550-3213', 'issn': ['0550-3213', '1873-1562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1711.04758', 'pdf_url': 'http://arxiv.org/pdf/1711.04758', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://doaj.org/article/7bdab9ffc38d4928a028b6afebaded59', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306401280', 'display_name': 'DOAJ (DOAJ: Directory of Open Access Journals)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1711.04758', 'pdf_url': 'https://arxiv.org/pdf/1711.04758', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1711.04758', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.nuclphysb.2018.05.017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210194812', 'display_name': 'Nuclear Physics B', 'issn_l': '0550-3213', 'issn': ['0550-3213', '1873-1562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2768477377'], 'referenced_works_count': 29, 'referenced_works': ['https://openalex.org/W1771760868', 'https://openalex.org/W1884017004', 'https://openalex.org/W1969354806', 'https://openalex.org/W1976215347', 'https://openalex.org/W1976973945', 'https://openalex.org/W1980150588', 'https://openalex.org/W1983790950', 'https://openalex.org/W1998738738', 'https://openalex.org/W2008697074', 'https://openalex.org/W2033049778', 'https://openalex.org/W2033445325', 'https://openalex.org/W2033576039', 'https://openalex.org/W2043689150', 'https://openalex.org/W2051966256', 'https://openalex.org/W2057404189', 'https://openalex.org/W2061587711', 'https://openalex.org/W2062289297', 'https://openalex.org/W2070798650', 'https://openalex.org/W2078960782', 'https://openalex.org/W2091605720', 'https://openalex.org/W2148245032', 'https://openalex.org/W2158631147', 'https://openalex.org/W2228699249', 'https://openalex.org/W2278896665', 'https://openalex.org/W2333076282', 'https://openalex.org/W2560432514', 'https://openalex.org/W2997925130', 'https://openalex.org/W3101154236', 'https://openalex.org/W4231530357'], 'related_works': ['https://openalex.org/W4315475853', 'https://openalex.org/W38469400', 'https://openalex.org/W3103815549', 'https://openalex.org/W3008704387', 'https://openalex.org/W2344952143', 'https://openalex.org/W2118219568', 'https://openalex.org/W2022544243', 'https://openalex.org/W1516997593', 'https://openalex.org/W1515966946', 'https://openalex.org/W1507294162'], 'abstract_inverted_index': {'The': [0, 104, 121], 'ambiguities': [1, 60, 107], 'inherent': [2], 'in': [3, 12, 25, 38, 51, 115, 142, 186], 'renormalization': [4, 11, 36, 85, 105, 122, 138, 172, 184], 'are': [5, 118, 196], 'considered': [6, 95], 'when': [7], 'using': [8], 'mass': [9], 'independent': [10], 'massless': [13], 'theories': [14], 'that': [15, 87, 132, 180], 'involve': [16], 'two': [17, 102], 'coupling': [18, 31, 68], 'constants.': [19], 'We': [20, 64], 'review': [21], 'how': [22, 66], 'unlike': [23], 'models': [24, 97], 'which': [26, 39, 187], 'there': [27, 33, 181], 'is': [28, 34, 94, 177, 211], 'just': [29], 'one': [30, 78, 100], 'constant': [32], 'no': [35], 'scheme': [37, 106, 185], 'the': [40, 56, 67, 72, 75, 92, 130, 137, 154, 162, 167, 171, 199, 202, 206], 'β-functions': [41, 57, 76], 'can': [42], 'be': [43], 'chosen': [44], 'to': [45, 112, 128, 150, 194], 'vanish': [46], 'beyond': [47, 61, 77, 191], 'a': [48, 143, 151, 183, 212], 'certain': [49], 'order': [50, 114, 193], 'perturbation': [52, 116], 'theory,': [53], 'and': [54, 147, 205], 'also': [55, 119, 178], 'always': [58], 'contain': [59], 'first': [62], 'order.': [63, 80], 'examine': [65], 'constants': [69], 'depend': [70], 'on': [71, 136, 159], 'coefficients': [73, 90], 'of': [74, 83, 91, 108, 157, 201], 'loop': [79], 'A': [81], 'way': [82], 'characterizing': [84], 'schemes': [86], "doesn't": [88], 'use': [89], 'β-function': [93], 'for': [96, 209], 'with': [98, 153, 170], 'either': [99], 'or': [101], 'couplings.': [103], 'physical': [109, 144], 'quantities': [110], 'computed': [111], 'finite': [113, 213], 'theory': [117], 'examined.': [120], 'group': [123], 'equation': [124], 'makes': [125], 'it': [126], 'possible': [127], 'sum': [129], 'logarithms': [131], 'have': [133], 'explicit': [134], 'dependence': [135, 156], 'scale': [139, 173], 'parameter': [140, 174], 'μ': [141, 160], 'quantity': [145], 'R': [146, 158, 195, 210], 'this': [148], 'leads': [149], 'cancellation': [152], 'implicit': [155], 'through': [161], 'running': [163, 203], 'couplings,': [164], 'thereby': [165], 'removing': [166], 'ambiguity': [168], 'associated': [169], 'μ.': [175], 'It': [176], 'shown': [179], 'exists': [182], 'all': [188], 'radiative': [189], 'contributions': [190], 'lowest': [192], 'incorporated': [197], 'into': [198], 'behavior': [200], 'couplings': [204], 'perturbative': [207], 'expansion': [208], 'series.': [214]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2768477377', 'counts_by_year': [{'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 4}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}], 'updated_date': '2025-01-06T16:55:12.153282', 'created_date': '2017-12-04'}