Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2036518870', 'doi': 'https://doi.org/10.1103/physrevd.72.045014', 'title': 'All next-to-maximally-helicity-violating one-loop gluon amplitudes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>super-Yang-Mills theory', 'display_name': 'All next-to-maximally-helicity-violating one-loop gluon amplitudes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>super-Yang-Mills theory', 'publication_year': 2005, 'publication_date': '2005-08-17', 'ids': {'openalex': 'https://openalex.org/W2036518870', 'doi': 'https://doi.org/10.1103/physrevd.72.045014', 'mag': '2036518870'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physrevd.72.045014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210210554', 'display_name': 'Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology', 'issn_l': '1550-2368', 'issn': ['1550-2368', '1550-7998'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/hep-th/0412210', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5016161528', 'display_name': 'Zvi Bern', 'orcid': 'https://orcid.org/0000-0001-9075-9501'}, 'institutions': [{'id': 'https://openalex.org/I161318765', 'display_name': 'University of California, Los Angeles', 'ror': 'https://ror.org/046rm7j60', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161318765']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Zvi Bern', 'raw_affiliation_strings': ['Department of Physics & Astronomy, UCLA, Los Angeles, California 90095-1547, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Physics & Astronomy, UCLA, Los Angeles, California 90095-1547, USA', 'institution_ids': ['https://openalex.org/I161318765']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5064334015', 'display_name': 'Lance J. Dixon', 'orcid': 'https://orcid.org/0000-0003-4985-7518'}, 'institutions': [{'id': 'https://openalex.org/I4210120900', 'display_name': 'Stanford Synchrotron Radiation Lightsource', 'ror': 'https://ror.org/02vzbm991', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I1330989302', 'https://openalex.org/I2801935854', 'https://openalex.org/I39565521', 'https://openalex.org/I4210120900', 'https://openalex.org/I97018004']}, {'id': 'https://openalex.org/I97018004', 'display_name': 'Stanford University', 'ror': 'https://ror.org/00f54p054', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I97018004']}, {'id': 'https://openalex.org/I2801935854', 'display_name': 'SLAC National Accelerator Laboratory', 'ror': 'https://ror.org/05gzmn429', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I1330989302', 'https://openalex.org/I2801935854', 'https://openalex.org/I39565521', 'https://openalex.org/I97018004']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Lance J. Dixon', 'raw_affiliation_strings': ['Stanford Linear Accelerator Center, Stanford University Stanford, California 94309, USA'], 'affiliations': [{'raw_affiliation_string': 'Stanford Linear Accelerator Center, Stanford University Stanford, California 94309, USA', 'institution_ids': ['https://openalex.org/I4210120900', 'https://openalex.org/I97018004', 'https://openalex.org/I2801935854']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5086880075', 'display_name': 'David A. Kosower', 'orcid': 'https://orcid.org/0000-0002-9087-0071'}, 'institutions': [{'id': 'https://openalex.org/I4210163633', 'display_name': 'Institut de Physique Théorique', 'ror': 'https://ror.org/058rvd314', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2738703131', 'https://openalex.org/I4210098836', 'https://openalex.org/I4210113668', 'https://openalex.org/I4210163633']}, {'id': 'https://openalex.org/I4210128565', 'display_name': 'CEA Paris-Saclay', 'ror': 'https://ror.org/03n15ch10', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I2738703131', 'https://openalex.org/I4210128565']}, {'id': 'https://openalex.org/I2738703131', 'display_name': "Commissariat à l'Énergie Atomique et aux Énergies Alternatives", 'ror': 'https://ror.org/00jjx8s55', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I2738703131']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'David A. Kosower', 'raw_affiliation_strings': ['Service de Physique Théorique, CEA-Saclay, F-91191 Gif-sur-Yvette cedex, France'], 'affiliations': [{'raw_affiliation_string': 'Service de Physique Théorique, CEA-Saclay, F-91191 Gif-sur-Yvette cedex, France', 'institution_ids': ['https://openalex.org/I4210163633', 'https://openalex.org/I4210128565', 'https://openalex.org/I2738703131']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 7, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 9.159, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 113, 'citation_normalized_percentile': {'value': 0.806458, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '72', 'issue': '4', 'first_page': None, 'last_page': None}, '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/T10048', 'display_name': 'Particle physics theoretical and experimental studies', 'score': 0.9998, '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/T10224', 'display_name': 'Quantum Chromodynamics and Particle Interactions', 'score': 0.999, '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/helicity', 'display_name': 'Helicity', 'score': 0.91405123}], 'concepts': [{'id': 'https://openalex.org/C2775859700', 'wikidata': 'https://www.wikidata.org/wiki/Q568855', 'display_name': 'Helicity', 'level': 2, 'score': 0.91405123}, {'id': 'https://openalex.org/C123579102', 'wikidata': 'https://www.wikidata.org/wiki/Q3299', 'display_name': 'Gluon', 'level': 3, 'score': 0.8901721}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.69007504}, {'id': 'https://openalex.org/C180205008', 'wikidata': 'https://www.wikidata.org/wiki/Q159190', 'display_name': 'Amplitude', 'level': 2, 'score': 0.68582535}, {'id': 'https://openalex.org/C25793852', 'wikidata': 'https://www.wikidata.org/wiki/Q279082', 'display_name': 'Twistor theory', 'level': 2, 'score': 0.6687746}, {'id': 'https://openalex.org/C109214941', 'wikidata': 'https://www.wikidata.org/wiki/Q18334', 'display_name': 'Particle physics', 'level': 1, 'score': 0.5964942}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.5887485}, {'id': 'https://openalex.org/C117137515', 'wikidata': 'https://www.wikidata.org/wiki/Q238170', 'display_name': 'Quantum chromodynamics', 'level': 2, 'score': 0.2101709}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.20958987}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physrevd.72.045014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210210554', 'display_name': 'Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology', 'issn_l': '1550-2368', 'issn': ['1550-2368', '1550-7998'], 'is_oa': False, 'is_in_doaj': False, 'is_indexed_in_scopus': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/hep-th/0412210', 'pdf_url': 'http://arxiv.org/pdf/hep-th/0412210', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_indexed_in_scopus': 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': True, 'landing_page_url': 'https://arxiv.org/abs/hep-th/0412210', 'pdf_url': 'https://arxiv.org/pdf/hep-th/0412210', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_indexed_in_scopus': 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.hep-th/0412210', '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_indexed_in_scopus': 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': 'http://arxiv.org/abs/hep-th/0412210', 'pdf_url': 'http://arxiv.org/pdf/hep-th/0412210', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_indexed_in_scopus': 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}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2036518870'], 'referenced_works_count': 62, 'referenced_works': ['https://openalex.org/W1761469896', 'https://openalex.org/W1802046707', 'https://openalex.org/W1968165255', 'https://openalex.org/W1971199653', 'https://openalex.org/W1971408529', 'https://openalex.org/W1971858135', 'https://openalex.org/W1974123694', 'https://openalex.org/W1981656075', 'https://openalex.org/W1995562556', 'https://openalex.org/W1997232571', 'https://openalex.org/W2001872430', 'https://openalex.org/W2008329971', 'https://openalex.org/W2013506047', 'https://openalex.org/W2014835972', 'https://openalex.org/W2016059509', 'https://openalex.org/W2016568454', 'https://openalex.org/W2018882233', 'https://openalex.org/W2021404114', 'https://openalex.org/W2023070811', 'https://openalex.org/W2027581516', 'https://openalex.org/W2028905010', 'https://openalex.org/W2029111076', 'https://openalex.org/W2033271366', 'https://openalex.org/W2046526385', 'https://openalex.org/W2048812252', 'https://openalex.org/W2053492436', 'https://openalex.org/W2057062405', 'https://openalex.org/W2063700283', 'https://openalex.org/W2065563503', 'https://openalex.org/W2065937626', 'https://openalex.org/W2067547658', 'https://openalex.org/W2071684595', 'https://openalex.org/W2073151451', 'https://openalex.org/W2077241752', 'https://openalex.org/W2080616140', 'https://openalex.org/W2081194465', 'https://openalex.org/W2087272802', 'https://openalex.org/W2087294263', 'https://openalex.org/W2090491037', 'https://openalex.org/W2093597473', 'https://openalex.org/W2094144920', 'https://openalex.org/W2100947621', 'https://openalex.org/W2123749971', 'https://openalex.org/W2129131474', 'https://openalex.org/W2135197679', 'https://openalex.org/W2137302786', 'https://openalex.org/W2145132306', 'https://openalex.org/W2148540571', 'https://openalex.org/W2151956784', 'https://openalex.org/W2161011168', 'https://openalex.org/W2165400029', 'https://openalex.org/W2171071025', 'https://openalex.org/W2172195601', 'https://openalex.org/W2315987160', 'https://openalex.org/W2592794059', 'https://openalex.org/W3098173143', 'https://openalex.org/W3102478450', 'https://openalex.org/W3102809038', 'https://openalex.org/W3103872354', 'https://openalex.org/W3105442699', 'https://openalex.org/W4255742584', 'https://openalex.org/W7443457'], 'related_works': ['https://openalex.org/W4245033502', 'https://openalex.org/W4239710639', 'https://openalex.org/W4205800498', 'https://openalex.org/W3104807694', 'https://openalex.org/W2980812759', 'https://openalex.org/W2276233115', 'https://openalex.org/W2094949526', 'https://openalex.org/W2036518870', 'https://openalex.org/W2002297842', 'https://openalex.org/W1883171224'], 'abstract_inverted_index': {'We': [0, 37], 'compute': [1], 'the': [2, 26, 33], 'next-to-MHV': [3], 'one-loop': [4], 'n-gluon': [5], 'amplitudes': [6, 12, 31], 'in': [7], 'N=4': [8], 'super-Yang-Mills': [9], 'theory.': [10], 'These': [11], 'contain': [13], 'three': [14], 'negative-helicity': [15], 'gluons': [16], 'and': [17, 24], 'an': [18], 'arbitrary': [19], 'number': [20], 'of': [21, 30, 42], 'positive-helicity': [22], 'gluons,': [23], 'are': [25], 'first': [27], 'infinite': [28], 'series': [29], 'beyond': [32], 'simplest,': [34], 'MHV,': [35], 'amplitudes.': [36], 'also': [38], 'discuss': [39], 'some': [40], 'aspects': [41], 'their': [43], 'twistor-space': [44], 'structure.': [45]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2036518870', 'counts_by_year': [{'year': 2021, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 2}], 'updated_date': '2025-01-22T23:01:54.965510', 'created_date': '2016-06-24'}