{"id":"https://openalex.org/W7203639581","doi":"https://doi.org/10.48550/arxiv.2608.14041","title":"Global structure and holonomy of conserved resolutions in the cylindrical Dirac doublet","display_name":"Global structure and holonomy of conserved resolutions in the cylindrical Dirac doublet","publication_year":2026,"publication_date":"2026-08-14","ids":{"openalex":"https://openalex.org/W7203639581","doi":"https://doi.org/10.48550/arxiv.2608.14041"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.14041","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.14041","pdf_url":"https://arxiv.org/pdf/2608.14041","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/2608.14041","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016638842","display_name":"Zhongze Guo","orcid":"https://orcid.org/0000-0002-7490-7444","observed_orcids":["https://orcid.org/0000-0002-7490-7444"]},"institutions":[{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo, Zhongze","raw_affiliation_strings":["Department of Physics and Institute of Theoretical Physics , University of Science and Technology Beijing , Beijing 100083 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Institute of Theoretical Physics , University of Science and Technology Beijing , Beijing 100083 , China","institution_ids":["https://openalex.org/I4210125404","https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xu, Bei","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu, Bei","raw_affiliation_strings":["Institute for Advanced Study , Tsinghua University , Beijing 100084 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5134667173","display_name":"Qiang Gu","orcid":"https://orcid.org/0000-0002-9325-0871","observed_orcids":["https://orcid.org/0000-0002-9325-0871"]},"institutions":[{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gu, Qiang","raw_affiliation_strings":["Department of Physics and Institute of Theoretical Physics , University of Science and Technology Beijing , Beijing 100083 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Institute of Theoretical Physics , University of Science and Technology Beijing , Beijing 100083 , China","institution_ids":["https://openalex.org/I4210125404","https://openalex.org/I92403157"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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":0.41749998927116394,"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":0.41749998927116394,"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":0.22200000286102295,"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"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.14900000393390656,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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-momentum-coupling","display_name":"spin-momentum coupling","score":0.6010000109672546},{"id":"https://openalex.org/keywords/su-2-holonomy","display_name":"SU(2) holonomy","score":0.7279999852180481},{"id":"https://openalex.org/keywords/chern-number","display_name":"Chern number","score":0.7440000176429749},{"id":"https://openalex.org/keywords/wilson-loops","display_name":"Wilson loops","score":0.8119999766349792},{"id":"https://openalex.org/keywords/heavy-ion-physics","display_name":"heavy-ion physics","score":0.7770000100135803},{"id":"https://openalex.org/keywords/conversion-probability","display_name":"conversion probability","score":0.3370000123977661}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6880000233650208},{"id":"https://openalex.org/C2775859700","wikidata":"https://www.wikidata.org/wiki/Q568855","display_name":"Helicity","level":2,"score":0.6398000121116638},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.550000011920929},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.46000000834465027},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.44749999046325684},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4359000027179718},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.42579999566078186},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.3695000112056732},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3562999963760376},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C32518243","wikidata":"https://www.wikidata.org/wiki/Q907926","display_name":"Holonomy","level":2,"score":0.3402000069618225},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33239999413490295},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.3285999894142151},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C180347388","wikidata":"https://www.wikidata.org/wiki/Q336233","display_name":"Pauli matrices","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.28859999775886536},{"id":"https://openalex.org/C137618395","wikidata":"https://www.wikidata.org/wiki/Q576728","display_name":"Winding number","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.2606000006198883},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.26010000705718994},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2572999894618988},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.2551000118255615},{"id":"https://openalex.org/C51021465","wikidata":"https://www.wikidata.org/wiki/Q7575181","display_name":"Spectral asymmetry","level":4,"score":0.25369998812675476},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.2531000077724457},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.14041","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.14041","pdf_url":"https://arxiv.org/pdf/2608.14041","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.2608.14041","doi":"https://doi.org/10.48550/arxiv.2608.14041","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.14041","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:2608.14041","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.14041","pdf_url":"https://arxiv.org/pdf/2608.14041","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":[{"id":"https://openalex.org/G2925338629","display_name":"\u57fa\u4e8e\u51b7\u539f\u5b50\u6c14\u4f53\u7684\u65b0\u578b\u6da1\u65cb\u7269\u8d28\u6001\u7814\u7a76","funder_award_id":"11874083","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203639581.pdf","grobid_xml":"https://content.openalex.org/works/W7203639581.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7202243942","https://openalex.org/W1998593167","https://openalex.org/W2963237096","https://openalex.org/W7214536042","https://openalex.org/W2068057760","https://openalex.org/W2964117043","https://openalex.org/W1653189379","https://openalex.org/W7223070219","https://openalex.org/W2951295328","https://openalex.org/W2516483174"],"abstract_inverted_index":{"Cylindrical":[0],"Dirac":[1,53,75,172],"modes":[2],"underlie":[3],"constructions":[4],"in":[5,12,176,197],"rotating":[6],"QCD":[7],"matter,":[8],"boost-invariant":[9],"Dirac-field":[10],"quantization":[11],"heavy-ion":[13],"physics,":[14],"and":[15,77,119,140,162,200],"high-energy":[16],"twisted-particle":[17],"scattering.":[18],"The":[19,112,144,169],"corresponding":[20],"complete":[21],"spinor":[22],"frames":[23],"can":[24],"be":[25],"regarded":[26],"as":[27],"alternative":[28],"bases,":[29],"but":[30,154],"their":[31,155],"equivalence":[32],"does":[33],"not":[34,121],"determine":[35],"the":[36,46,50,73,80,86,125,130,136,166,177,193,202,207],"global":[37,109],"behavior":[38],"of":[39,49],"eigenlines":[40,156,179],"selected":[41],"by":[42],"conserved":[43,58],"observables.":[44],"Within":[45],"positive-energy":[47,171,214],"doublet":[48],"free":[51],"massive":[52],"Hamiltonian,":[54],"we":[55],"compare":[56],"three":[57,96,107],"resolutions:":[59],"$K$,":[60],"which":[61],"couples":[62],"spin":[63],"to":[64,124],"transverse":[65,74],"momentum;":[66],"$K_m$,":[67],"a":[68],"mass-dependent":[69],"operator":[70],"derived":[71],"from":[72,85],"Hamiltonian;":[76],"helicity.":[78],"On":[79],"common":[81,103],"regular":[82],"domain":[83],"away":[84],"momentum":[87,138,152],"axis,":[88],"explicit":[89],"smooth,":[90],"single-valued":[91],"$SU(2)$":[92],"transformations":[93],"relate":[94],"all":[95],"splittings.":[97],"Although":[98],"globally":[99],"$SU(2)$-equivalent":[100],"on":[101,149,180],"this":[102],"domain,":[104],"they":[105],"exhibit":[106],"distinct":[108],"extension":[110],"behaviors.":[111],"$K$":[113,178,209],"projectors":[114,132,146],"have":[115],"azimuth-dependent":[116],"polar":[117],"limits":[118],"do":[120],"extend":[122,133,164],"continuously":[123],"axis.":[126],"For":[127],"nonzero":[128,151],"mass,":[129],"$K_m$":[131],"smoothly":[134],"over":[135],"enclosed":[137,167],"ball":[139],"define":[141],"Chern-trivial":[142],"eigenlines.":[143],"helicity":[145],"are":[147],"smooth":[148],"every":[150],"sphere,":[153],"carry":[157],"opposite":[158],"unit":[159],"Chern":[160],"numbers":[161],"cannot":[163],"through":[165],"origin.":[168],"parent":[170],"connection":[173],"Abelianizes":[174],"exactly":[175],"fixed-azimuth":[181],"meridians,":[182],"whereas":[183],"its":[184],"full":[185],"three-dimensional":[186],"curvature":[187],"has":[188],"noncommuting":[189],"components.":[190],"We":[191],"obtain":[192],"azimuthal":[194],"Wilson":[195],"loop":[196],"closed":[198],"form":[199],"derive":[201],"exact":[203],"conversion":[204],"probability":[205],"between":[206],"two":[208],"branches":[210],"under":[211],"purely":[212],"geometric":[213],"transport.":[215]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-18T00:00:00"}
