{"id":"https://openalex.org/W7164024082","doi":"https://doi.org/10.48550/arxiv.2606.07955","title":"Spin-charge deconfinement from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions","display_name":"Spin-charge deconfinement from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions","publication_year":2026,"publication_date":"2026-06-06","ids":{"openalex":"https://openalex.org/W7164024082","doi":"https://doi.org/10.48550/arxiv.2606.07955"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2606.07955","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.07955","pdf_url":"https://arxiv.org/pdf/2606.07955","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2606.07955","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138254476","display_name":"L. Haddad","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haddad, L.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138213182","display_name":"K. Gonzales","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gonzales, K.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048075597","display_name":"J. Kahanek","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kahanek, J.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138257310","display_name":"M. Kolding","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kolding, M.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138232477","display_name":"J. Maguire","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maguire, J.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138254455","display_name":"V. Palombi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Palombi, V.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5138217963","display_name":"H. Truelson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Truelson, H.","raw_affiliation_strings":["Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Colorado School of Mines , 1523 Illinois Street , Golden , CO 80401 , U.S.A","institution_ids":["https://openalex.org/I167576493"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I167576493"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.4392000138759613,"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":0.4392000138759613,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.15209999680519104,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.1234000027179718,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/spin-charge-separation","display_name":"spin-charge separation","score":0.9850000143051147},{"id":"https://openalex.org/keywords/composite-joints","display_name":"composite joints","score":0.9129999876022339},{"id":"https://openalex.org/keywords/wilson-loop-area-law","display_name":"Wilson loop area law","score":0.9300000071525574},{"id":"https://openalex.org/keywords/chiral-phase-transition","display_name":"chiral phase transition","score":0.6179999709129333}],"concepts":[{"id":"https://openalex.org/C32518243","wikidata":"https://www.wikidata.org/wiki/Q907926","display_name":"Holonomy","level":2,"score":0.6966000199317932},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.597599983215332},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5403000116348267},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.5152999758720398},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.4702000021934509},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.45899999141693115},{"id":"https://openalex.org/C79955541","wikidata":"https://www.wikidata.org/wiki/Q1348371","display_name":"Dirac fermion","level":3,"score":0.45190000534057617},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4375},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.43700000643730164},{"id":"https://openalex.org/C2781313195","wikidata":"https://www.wikidata.org/wiki/Q7512415","display_name":"Sigma model","level":3,"score":0.4336000084877014},{"id":"https://openalex.org/C2781249807","wikidata":"https://www.wikidata.org/wiki/Q613812","display_name":"Deconfinement","level":3,"score":0.41929998993873596},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.4156999886035919},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.4058000147342682},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3971000015735626},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3817000091075897},{"id":"https://openalex.org/C2776482091","wikidata":"https://www.wikidata.org/wiki/Q206552","display_name":"Wilson loop","level":3,"score":0.3628000020980835},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.353300005197525},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.3483999967575073},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.3483000099658966},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34700000286102295},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.34040001034736633},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.3149999976158142},{"id":"https://openalex.org/C117137515","wikidata":"https://www.wikidata.org/wiki/Q238170","display_name":"Quantum chromodynamics","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C2779430453","wikidata":"https://www.wikidata.org/wiki/Q15260871","display_name":"Gauge group","level":3,"score":0.29100000858306885},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.2653999924659729},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2606.07955","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.07955","pdf_url":"https://arxiv.org/pdf/2606.07955","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":"doi:10.48550/arxiv.2606.07955","doi":"https://doi.org/10.48550/arxiv.2606.07955","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.07955","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":"pmh:oai:arXiv.org:2606.07955","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.07955","pdf_url":"https://arxiv.org/pdf/2606.07955","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310862","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7164024082.pdf","grobid_xml":"https://content.openalex.org/works/W7164024082.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1775085668","https://openalex.org/W1892273093","https://openalex.org/W1978322358","https://openalex.org/W1982889297","https://openalex.org/W1993872361","https://openalex.org/W2003126118","https://openalex.org/W2014589377","https://openalex.org/W2040284952","https://openalex.org/W2042974790","https://openalex.org/W2054723609","https://openalex.org/W2054856864","https://openalex.org/W2067633556","https://openalex.org/W2079972073","https://openalex.org/W2081662139","https://openalex.org/W2112390935","https://openalex.org/W2166248051","https://openalex.org/W2221823429"],"related_works":["https://openalex.org/W1973419362","https://openalex.org/W4403620145","https://openalex.org/W6891726742","https://openalex.org/W7100203453","https://openalex.org/W3190090171","https://openalex.org/W2009390105","https://openalex.org/W2041209596","https://openalex.org/W3033362883","https://openalex.org/W1988373582","https://openalex.org/W1978322358"],"abstract_inverted_index":{"We":[0,90],"develop":[1],"a":[2,34,61,82,96],"self-consistent":[3],"dressing":[4],"for":[5,64],"$(1+1)$d":[6],"Dirac":[7,30],"fermions":[8],"with":[9],"Fierz-complete":[10],"four-fermion":[11],"interactions,":[12],"extending":[13],"the":[14,20,29,52,57,65,87,99],"spin-charge":[15,39,104],"formalism":[16],"of~\\cite{Haddad2024}.":[17],"By":[18],"studying":[19],"associated":[21],"composite":[22],"connection,":[23],"we":[24],"characterize":[25],"obstructions":[26],"to":[27],"trivializing":[28],"operator":[31],"and":[32,44,67,79,106],"prove":[33],"trivialization":[35],"theorem":[36],"under":[37],"which":[38],"separation,":[40],"half-infinite":[41],"Wilson-line":[42],"dressing,":[43],"flat-connection":[45],"holonomy":[46],"arise":[47],"as":[48],"regime":[49],"limits":[50],"of":[51,70,98],"single":[53],"dressing.":[54],"In":[55],"particular,":[56],"chiral-difermion":[58],"transition":[59,63],"is":[60],"deconfinement":[62],"spin":[66],"charge":[68],"degrees":[69],"freedom,":[71],"mediated":[72],"by":[73,81],"an":[74],"emergent":[75],"$\\mathfrak{sl}(2,\\mathbb{R})$":[76],"gauge":[77],"field":[78],"measured":[80],"Wilson-loop":[83],"area":[84],"law":[85],"in":[86],"chiral":[88],"phase.":[89],"show":[91],"that":[92],"our":[93],"formulation":[94],"provides":[95],"realization":[97],"conjectured":[100],"Faddeev--Niemi":[101],"link":[102],"between":[103],"separation":[105],"confinement.":[107]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-06-10T00:00:00"}
