Based on the Cornwall–Jackiw–Tomboulis effective potential and the truncated Dyson–Schwinger equations, the nature of phase transition of thermal QED $$_3$$ at finite volume is investigated. We show that, with the rise of temperature, the system undergoes a second-order transition in the chiral limit, and remains exhibiting the second-order with small fermion mass, while it switches to a crossover when the fermion mass exceeds a critical value about $$m_{c}$$ , which diminishes with the increasing volume size and tends to zero in infinite volume.
{ "_oai": { "updated": "2022-02-01T00:45:11Z", "id": "oai:repo.scoap3.org:66802", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "China", "value": "National Mobile Communications Research Laboratory, Southeast University, Nanjing, 211189, China", "organization": "Southeast University" }, { "country": "China", "value": "School of Physics, Southeast University, Nanjing, 211189, China", "organization": "Southeast University" }, { "country": "China", "value": "Frontiers Science Center for Mobile Information Communication and Security, Nanjing, Jiangsu, 211111, China", "organization": "Frontiers Science Center for Mobile Information Communication and Security" }, { "country": "China", "value": "Quantum Information Center of Southeast University, Nanjing, 211189, China", "organization": "Quantum Information Center of Southeast University" } ], "surname": "Hu", "email": "yi_hu@seu.edu.cn", "full_name": "Hu, Yi", "given_names": "Yi" }, { "affiliations": [ { "country": "China", "value": "School of Physics, Southeast University, Nanjing, 211189, China", "organization": "Southeast University" } ], "surname": "Feng", "email": "fenght@seu.edu.cn", "full_name": "Feng, Hong-tao", "given_names": "Hong-tao" } ], "titles": [ { "source": "Springer", "title": "CJT effective potential approach to analyze the nature of phase transition of thermal QED $$_3$$ <math> <msub> <mrow></mrow> <mn>3</mn> </msub> </math> at finite volume" } ], "dois": [ { "value": "10.1140/epjc/s10052-021-09927-7" } ], "publication_info": [ { "page_end": "7", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "81", "artid": "s10052-021-09927-7", "year": 2021, "page_start": "1", "journal_issue": "12" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-02-01T00:31:43.348666", "source": "Springer", "method": "Springer", "submission_number": "1717b20882f611ec801f4ecc69e4f48a" }, "page_nr": [ 7 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "66802", "record_creation_date": "2021-12-24T12:30:19.814386", "_files": [ { "checksum": "md5:484f94ac278653fe24bbfe5a949a359e", "filetype": "xml", "bucket": "1cbf2b84-2335-42a4-ae09-1313c333ece4", "version_id": "857d6eed-47b2-4cc4-a58d-05716425c464", "key": "10.1140/epjc/s10052-021-09927-7.xml", "size": 13724 }, { "checksum": "md5:160b63a12b2d59122502a0d2ce04f405", "filetype": "pdf/a", "bucket": "1cbf2b84-2335-42a4-ae09-1313c333ece4", "version_id": "f13ca8a0-57d4-458b-a47e-7ee566bcbe56", "key": "10.1140/epjc/s10052-021-09927-7_a.pdf", "size": 855907 } ], "collections": [ { "primary": "European Physical Journal C" } ], "abstracts": [ { "source": "Springer", "value": "Based on the Cornwall\u2013Jackiw\u2013Tomboulis effective potential and the truncated Dyson\u2013Schwinger equations, the nature of phase transition of thermal QED $$_3$$ <math> <msub> <mrow></mrow> <mn>3</mn> </msub> </math> at finite volume is investigated. We show that, with the rise of temperature, the system undergoes a second-order transition in the chiral limit, and remains exhibiting the second-order with small fermion mass, while it switches to a crossover when the fermion mass exceeds a critical value about $$m_{c}$$ <math> <msub> <mi>m</mi> <mi>c</mi> </msub> </math> , which diminishes with the increasing volume size and tends to zero in infinite volume." } ], "imprints": [ { "date": "2021-12-24", "publisher": "Springer" } ] }