{"id":"https://openalex.org/W7165887875","doi":"https://doi.org/10.1016/j.nuclphysb.2026.117698","title":"A gauge-theoretic formulation of Nambu non-equilibrium thermodynamics","display_name":"A gauge-theoretic formulation of Nambu non-equilibrium thermodynamics","publication_year":2026,"publication_date":"2026-10-24","ids":{"openalex":"https://openalex.org/W7165887875","doi":"https://doi.org/10.1016/j.nuclphysb.2026.117698"},"language":"en","primary_location":{"id":"doi:10.1016/j.nuclphysb.2026.117698","doi":"https://doi.org/10.1016/j.nuclphysb.2026.117698","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.nuclphysb.2026.117698","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0550321326004013/pdf","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,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-2","oarl","poland-140","russia-white-list-1"],"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,"raw_source_name":"Nuclear Physics B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.sciencedirect.com/science/article/pii/S0550321326004013/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026025399","display_name":"So Katagiri","orcid":"https://orcid.org/0000-0002-0709-3065","observed_orcids":["https://orcid.org/0000-0002-0709-3065"]},"institutions":[{"id":"https://openalex.org/I6178835","display_name":"Ibaraki University","ror":"https://ror.org/00sjd5653","country_code":"JP","type":"education","lineage":["https://openalex.org/I6178835"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"So Katagiri","raw_affiliation_strings":["Major in Complex Systems Science, Graduate School of Science and Engineering, Ibaraki University, Nakanarusawa-cho, Hitachi, 316-8511, Japan"],"raw_orcid":"https://orcid.org/0000-0002-0709-3065","affiliations":[{"raw_affiliation_string":"Major in Complex Systems Science, Graduate School of Science and Engineering, Ibaraki University, Nakanarusawa-cho, Hitachi, 316-8511, Japan","institution_ids":["https://openalex.org/I6178835"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026025399"],"corresponding_institution_ids":["https://openalex.org/I6178835"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":1.7001,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86865815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"1033","issue":null,"first_page":"117698","last_page":"117698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9154999852180481,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9154999852180481,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.015699999406933784,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.012500000186264515,"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/gauge-theory","display_name":"gauge theory","score":0.5989999771118164},{"id":"https://openalex.org/keywords/onsager-reciprocal-relations","display_name":"Onsager reciprocal relations","score":0.6259999871253967},{"id":"https://openalex.org/keywords/faddeev-popov-operator","display_name":"Faddeev-Popov operator","score":0.8809999823570251},{"id":"https://openalex.org/keywords/energy-dissipation","display_name":"energy dissipation","score":0.48899999260902405},{"id":"https://openalex.org/keywords/hamilton-jacobi-equation","display_name":"Hamilton-Jacobi equation","score":0.781000018119812},{"id":"https://openalex.org/keywords/constitutive-model","display_name":"constitutive equations","score":0.5},{"id":"https://openalex.org/keywords/conserved-quantities","display_name":"first integrals","score":0.5429999828338623}],"concepts":[{"id":"https://openalex.org/C140767772","wikidata":"https://www.wikidata.org/wiki/Q5421889","display_name":"Extended irreversible thermodynamics","level":3,"score":0.6050000190734863},{"id":"https://openalex.org/C43872104","wikidata":"https://www.wikidata.org/wiki/Q632388","display_name":"Irreversible process","level":2,"score":0.5728999972343445},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5461000204086304},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5439000129699707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5188000202178955},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.5115000009536743},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.4652000069618225},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4237000048160553},{"id":"https://openalex.org/C113174994","wikidata":"https://www.wikidata.org/wiki/Q4120602","display_name":"Thermodynamic equations","level":3,"score":0.39980000257492065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35269999504089355},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3465000092983246},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.3450999855995178},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C41607394","wikidata":"https://www.wikidata.org/wiki/Q2420179","display_name":"Thermodynamic potential","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C18815010","wikidata":"https://www.wikidata.org/wiki/Q849392","display_name":"Laws of thermodynamics","level":3,"score":0.32589998841285706},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.3188999891281128},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3124000132083893},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3091000020503998},{"id":"https://openalex.org/C14380042","wikidata":"https://www.wikidata.org/wiki/Q503327","display_name":"Thermodynamic system","level":2,"score":0.30790001153945923},{"id":"https://openalex.org/C105236789","wikidata":"https://www.wikidata.org/wiki/Q213016","display_name":"Thermodynamic process","level":3,"score":0.3046000003814697},{"id":"https://openalex.org/C119787686","wikidata":"https://www.wikidata.org/wiki/Q1474109","display_name":"Fundamental thermodynamic relation","level":3,"score":0.2865000069141388},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C111663737","wikidata":"https://www.wikidata.org/wiki/Q10860570","display_name":"Equilibrium thermodynamics","level":3,"score":0.26829999685287476},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C43933239","wikidata":"https://www.wikidata.org/wiki/Q917476","display_name":"Thermodynamic beta","level":5,"score":0.26019999384880066}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.nuclphysb.2026.117698","doi":"https://doi.org/10.1016/j.nuclphysb.2026.117698","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.nuclphysb.2026.117698","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0550321326004013/pdf","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,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-2","oarl","poland-140","russia-white-list-1"],"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,"raw_source_name":"Nuclear Physics B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2606.24919","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.24919","pdf_url":"https://arxiv.org/pdf/2606.24919","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:doaj.org/article:2fcca668de254c9b85693a2082347a29","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/2fcca668de254c9b85693a2082347a29","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nuclear Physics B, Vol 1033, Iss , Pp 117698- (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2606.24919","doi":"https://doi.org/10.48550/arxiv.2606.24919","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.24919","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":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.nuclphysb.2026.117698","doi":"https://doi.org/10.1016/j.nuclphysb.2026.117698","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.nuclphysb.2026.117698","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0550321326004013/pdf","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,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-2","oarl","poland-140","russia-white-list-1"],"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,"raw_source_name":"Nuclear Physics B","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7165887875.pdf","grobid_xml":"https://content.openalex.org/works/W7165887875.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1983589072","https://openalex.org/W1983639022","https://openalex.org/W2002116790","https://openalex.org/W2021337075","https://openalex.org/W2021820673","https://openalex.org/W2026169595","https://openalex.org/W2031320386","https://openalex.org/W2044492748","https://openalex.org/W2062921508","https://openalex.org/W2071380757","https://openalex.org/W2102277728","https://openalex.org/W2116840860","https://openalex.org/W2156332739","https://openalex.org/W2168215890","https://openalex.org/W2761188526","https://openalex.org/W2809012972","https://openalex.org/W3021128674","https://openalex.org/W4231332747","https://openalex.org/W4244360209","https://openalex.org/W4296547003","https://openalex.org/W4415678403","https://openalex.org/W7154057572","https://openalex.org/W7163646320","https://openalex.org/W7169800775"],"related_works":["https://openalex.org/W2809012972","https://openalex.org/W2214285278","https://openalex.org/W7169800775","https://openalex.org/W4415316360","https://openalex.org/W7154057572","https://openalex.org/W1995106915","https://openalex.org/W2224457737","https://openalex.org/W7220655827","https://openalex.org/W1992345289","https://openalex.org/W7163646320"],"abstract_inverted_index":{"We":[0,118],"present":[1],"a":[2,11,53,63,71,133,185,209,220],"gauge-theoretic":[3],"formulation":[4],"of":[5,136,156,177,213],"Nambu":[6,65,97,112,217],"non-equilibrium":[7],"thermodynamics":[8],"(NNET)":[9],"within":[10,219],"common":[12],"gauge-fixed":[13,139],"worldline":[14,140],"framework.":[15,223],"In":[16],"this":[17,47,96],"formulation,":[18],"the":[19,42,75,89,105,122,137,147,154,157,161,171,178,190,196,202],"generalized":[20,86],"thermodynamic":[21,28,77],"force":[22],"is":[23,34,84,93,126,199],"described":[24],"by":[25,36,189],"an":[26,128],"Abelian":[27],"connection,":[29],"and":[30,68,165,216],"ordinary":[31],"Onsager":[32,81,116,192,214],"dynamics":[33,218],"recovered":[35],"fixing":[37,92,150],"its":[38,166],"temporal":[39],"component":[40],"through":[41],"dissipation":[43,215],"function.":[44],"To":[45],"extend":[46],"construction":[48],"to":[49],"NNET,":[50],"we":[51],"introduce":[52],"closed":[54],"two-form":[55],"as":[56,174],"additional":[57],"geometric":[58,211],"input.":[59],"This":[60],"form":[61],"determines":[62],"divergence-free":[64],"vector":[66],"field":[67],"thereby":[69],"defines":[70],"characteristic":[72,98],"direction":[73],"on":[74,152],"extended":[76],"state":[78],"space.":[79],"The":[80,100,142],"gauge":[82,91,149,197],"condition":[83],"then":[85],"so":[87],"that":[88,121,195],"dissipative":[90,115],"imposed":[94],"along":[95,160,201],"direction.":[99],"resulting":[101],"constitutive":[102],"relation":[103],"reproduces":[104],"basic":[106],"NNET":[107,163,204],"evolution":[108],"equation,":[109],"combining":[110],"nondissipative":[111],"circulation":[113],"with":[114,146],"relaxation.":[117],"further":[119],"show":[120],"localized":[123],"BF-type":[124],"expression":[125],"not":[127],"independent":[129],"pre-gauge-fixed":[130],"action,":[131],"but":[132],"differential-form":[134],"representation":[135],"Nambu-adapted":[138],"theory.":[141],"Faddeev\u2013Popov":[143],"operator":[144],"associated":[145],"BRST":[148],"becomes,":[151],"shell,":[153],"negative":[155],"material":[158],"derivative":[159],"full":[162],"flow,":[164],"time-independent":[167],"zero-mode":[168],"profiles":[169],"satisfy":[170],"same":[172,191],"equation":[173,187],"first":[175],"integrals":[176],"deterministic":[179],"dynamics.":[180],"Finite":[181],"residual":[182],"transformations":[183],"obey":[184],"Hamilton\u2013Jacobi":[186],"governed":[188],"tensor,":[193],"implying":[194],"parameter":[198],"nonincreasing":[200],"original":[203],"flow.":[205],"These":[206],"results":[207],"provide":[208],"unified":[210],"interpretation":[212],"single":[221],"gauge-fixing":[222]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-06-26T00:00:00"}
