{"id":"https://openalex.org/W1985698155","doi":"https://doi.org/10.1088/0256-307x/22/12/014","title":"Does There Exist Only One Solution of the Dyson\u2013Schwinger Equation for the Quark Propagator in the Case of Non-Zero Current Quark Mass","display_name":"Does There Exist Only One Solution of the Dyson\u2013Schwinger Equation for the Quark Propagator in the Case of Non-Zero Current Quark Mass","publication_year":2005,"publication_date":"2005-11-28","ids":{"openalex":"https://openalex.org/W1985698155","doi":"https://doi.org/10.1088/0256-307x/22/12/014","mag":"1985698155"},"language":"en","primary_location":{"id":"doi:10.1088/0256-307x/22/12/014","doi":"https://doi.org/10.1088/0256-307x/22/12/014","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0256-307x/22/12/014","pdf_url":"https://iopscience.iop.org/article/10.1088/0256-307X/22/12/014/pdf","source":{"id":"https://openalex.org/S110033974","display_name":"Chinese Physics Letters","issn_l":"0256-307X","issn":["0256-307X","1741-3540"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chinese Physics Letters","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0256-307X/22/12/014/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111776903","display_name":"Zong Hong-Shi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I51296178","display_name":"China Center of Advanced Science and Technology","ror":"https://ror.org/02egfyg20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I102398690","https://openalex.org/I4210122102","https://openalex.org/I51296178"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zong Hong-Shi","raw_affiliation_strings":["CCAST (World Laboratory), PO Box 8730, Beijing 100080","Department of Physics, Nanjing University, Nanjing 210093","Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CCAST (World Laboratory), PO Box 8730, Beijing 100080","institution_ids":["https://openalex.org/I51296178"]},{"raw_affiliation_string":"Department of Physics, Nanjing University, Nanjing 210093","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103869025","display_name":"Sun Weimin","orcid":"https://orcid.org/0000-0003-1754-1236","observed_orcids":["https://orcid.org/0000-0003-1754-1236"]},"institutions":[{"id":"https://openalex.org/I51296178","display_name":"China Center of Advanced Science and Technology","ror":"https://ror.org/02egfyg20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I102398690","https://openalex.org/I4210122102","https://openalex.org/I51296178"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sun Wei-Min","raw_affiliation_strings":["CCAST (World Laboratory), PO Box 8730, Beijing 100080","Department of Physics, Nanjing University, Nanjing 210093","Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CCAST (World Laboratory), PO Box 8730, Beijing 100080","institution_ids":["https://openalex.org/I51296178"]},{"raw_affiliation_string":"Department of Physics, Nanjing University, Nanjing 210093","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100880185","display_name":"Ping Jia-Lun","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Jia-Lun","raw_affiliation_strings":["Department of Physics, Nanjing Normal University, Nanjing 210097"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Nanjing Normal University, Nanjing 210097","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110378865","display_name":"L\u00fc Xiao-Fu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I51296178","display_name":"China Center of Advanced Science and Technology","ror":"https://ror.org/02egfyg20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I102398690","https://openalex.org/I4210122102","https://openalex.org/I51296178"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"L\u00fc Xiao-Fu","raw_affiliation_strings":["CCAST (World Laboratory), PO Box 8730, Beijing 100080","Department of Physics, Sichuan Union University, Chengdu 610064"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CCAST (World Laboratory), PO Box 8730, Beijing 100080","institution_ids":["https://openalex.org/I51296178"]},{"raw_affiliation_string":"Department of Physics, Sichuan Union University, Chengdu 610064","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029764136","display_name":"Fan Wang","orcid":"https://orcid.org/0000-0001-5932-7567","observed_orcids":["https://orcid.org/0000-0001-5932-7567","https://orcid.org/0000-0001-9843-5149"]},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang Fan","raw_affiliation_strings":["Department of Physics, Nanjing University, Nanjing 210093","Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Nanjing University, Nanjing 210093","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.13998556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"22","issue":"12","first_page":"3036","last_page":"3039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9883000254631042,"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":0.9883000254631042,"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":0.005900000222027302,"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/T10527","display_name":"High-Energy Particle Collisions Research","score":0.0013000000035390258,"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/dyson-schwinger-equations","display_name":"Dyson-Schwinger equations","score":0.8859999775886536},{"id":"https://openalex.org/keywords/quark-propagator","display_name":"quark propagator","score":0.996999979019165},{"id":"https://openalex.org/keywords/current-quark-mass","display_name":"current quark mass","score":0.9539999961853027},{"id":"https://openalex.org/keywords/chiral-symmetry-breaking","display_name":"chiral symmetry breaking","score":0.6710000038146973},{"id":"https://openalex.org/keywords/chiral-limit","display_name":"chiral limit","score":0.8669999837875366},{"id":"https://openalex.org/keywords/multiple-solutions","display_name":"multiplicity of solutions","score":0.6449999809265137}],"concepts":[{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.9131311178207397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8142542839050293},{"id":"https://openalex.org/C7602139","wikidata":"https://www.wikidata.org/wiki/Q6718","display_name":"Quark","level":2,"score":0.7664403319358826},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5886619091033936},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5712191462516785},{"id":"https://openalex.org/C64042099","wikidata":"https://www.wikidata.org/wiki/Q1116835","display_name":"Goldstone","level":2,"score":0.5527905821800232},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.5220410823822021},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.49767783284187317},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.46758484840393066},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.463421493768692},{"id":"https://openalex.org/C3017509072","wikidata":"https://www.wikidata.org/wiki/Q81182","display_name":"Zero temperature","level":2,"score":0.4454192817211151},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.37479227781295776},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24860689043998718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06106486916542053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.058118581771850586},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0571272075176239},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1088/0256-307x/22/12/014","doi":"https://doi.org/10.1088/0256-307x/22/12/014","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0256-307x/22/12/014","pdf_url":"https://iopscience.iop.org/article/10.1088/0256-307X/22/12/014/pdf","source":{"id":"https://openalex.org/S110033974","display_name":"Chinese Physics Letters","issn_l":"0256-307X","issn":["0256-307X","1741-3540"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chinese Physics Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:hep-ph/0402164","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/hep-ph/0402164","pdf_url":"https://arxiv.org/pdf/hep-ph/0402164","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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.347.452","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.347.452","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-ph/0402164v1.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.hep-ph/0402164","doi":"https://doi.org/10.48550/arxiv.hep-ph/0402164","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.hep-ph/0402164","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/0256-307x/22/12/014","doi":"https://doi.org/10.1088/0256-307x/22/12/014","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0256-307x/22/12/014","pdf_url":"https://iopscience.iop.org/article/10.1088/0256-307X/22/12/014/pdf","source":{"id":"https://openalex.org/S110033974","display_name":"Chinese Physics Letters","issn_l":"0256-307X","issn":["0256-307X","1741-3540"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Chinese Physics Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1985698155.pdf","grobid_xml":"https://content.openalex.org/works/W1985698155.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1987867533","https://openalex.org/W2046608415","https://openalex.org/W2049372404","https://openalex.org/W2051789635","https://openalex.org/W2087123186","https://openalex.org/W2131835095","https://openalex.org/W2157398164","https://openalex.org/W2158481770","https://openalex.org/W2362588133","https://openalex.org/W3103205785","https://openalex.org/W4238735103"],"related_works":["https://openalex.org/W7029247050","https://openalex.org/W1997375918","https://openalex.org/W2252821454","https://openalex.org/W1963591800","https://openalex.org/W4224909138","https://openalex.org/W1982004001","https://openalex.org/W2038539598","https://openalex.org/W5453339","https://openalex.org/W2797646951","https://openalex.org/W2729986488"],"abstract_inverted_index":{"It":[0],"is":[1],"shown":[2],"on":[3],"general":[4],"ground":[5],"that":[6],"there":[7],"exist":[8],"two":[9],"qualitatively":[10],"distinct":[11],"solutions":[12],"of":[13,24],"the":[14,18,22,33,37,42,46],"Dyson\u2013Schwinger":[15],"equation":[16],"for":[17],"quark":[19,27],"propagator":[20],"in":[21,45],"case":[23],"non-zero":[25],"current":[26],"mass.":[28],"One":[29],"solution":[30],"corresponds":[31,40],"to":[32,41],"``Nambu\u2013Goldstone''":[34],"phase":[35,44],"and":[36],"other":[38],"one":[39],"``Wigner''":[43],"chiral":[47],"limit.":[48]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2016-06-24T00:00:00"}