{"id":"https://openalex.org/W7225017903","doi":"https://doi.org/10.5281/zenodo.23829864","title":"Explicit Volume-Uniform Gap Bounds for Weakly Coupled SU(3) Cube Blocks on Three-Dimensional Lattices - Charged responses, signed output Gram matrices, and local preconditioning-","display_name":"Explicit Volume-Uniform Gap Bounds for Weakly Coupled SU(3) Cube Blocks on Three-Dimensional Lattices - Charged responses, signed output Gram matrices, and local preconditioning-","publication_year":2026,"publication_date":"2026-10-31","ids":{"openalex":"https://openalex.org/W7225017903","doi":"https://doi.org/10.5281/zenodo.23829864"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23829864","doi":"https://doi.org/10.5281/zenodo.23829864","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829864","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23829864","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001619132","display_name":"Ken Umeno","orcid":"https://orcid.org/0000-0002-9162-1261","observed_orcids":["https://orcid.org/0000-0002-9162-1261"]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Umeno, Ken","raw_affiliation_strings":["Kyoto University"],"raw_orcid":"https://orcid.org/0000-0002-9162-1261","affiliations":[{"raw_affiliation_string":"Kyoto University","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001619132"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11804","display_name":"Quantum many-body systems","score":0.39430001378059387,"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"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.39430001378059387,"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.23499999940395355,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.15489999949932098,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spectral-gap","display_name":"spectral gap","score":0.699999988079071},{"id":"https://openalex.org/keywords/su-3-lattice-gauge-theory","display_name":"SU(3) lattice gauge theory","score":0.8769999742507935},{"id":"https://openalex.org/keywords/kogut-susskind-hamiltonian","display_name":"Kogut-Susskind Hamiltonian","score":0.8040000200271606},{"id":"https://openalex.org/keywords/gauss-s-law","display_name":"Gauss's law","score":0.382999986410141},{"id":"https://openalex.org/keywords/local-preconditioning","display_name":"local preconditioning","score":0.8059999942779541},{"id":"https://openalex.org/keywords/three-dimensional-lattice","display_name":"three-dimensional lattice","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7181000113487244},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.6759999990463257},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.629800021648407},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5450999736785889},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45399999618530273},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4357999861240387},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.4235999882221222},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4047999978065491},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.3939000070095062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3716000020503998},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.35690000653266907},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3190000057220459},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30799999833106995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30630001425743103},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.3003999888896942},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.2800999879837036},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23829864","doi":"https://doi.org/10.5281/zenodo.23829864","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829864","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23829865","doi":"https://doi.org/10.5281/zenodo.23829865","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829865","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23829864","doi":"https://doi.org/10.5281/zenodo.23829864","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829864","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7223573970","https://openalex.org/W7223551380","https://openalex.org/W7221507942","https://openalex.org/W7223347027","https://openalex.org/W7223651616","https://openalex.org/W7224876951","https://openalex.org/W7224091540","https://openalex.org/W6931181141","https://openalex.org/W7214564268","https://openalex.org/W7221453072"],"abstract_inverted_index":{"We":[0],"give":[1],"explicit":[2],"sufficient":[3],"conditions":[4],"for":[5,58,198,213],"a":[6,16,40,88,91,113,125,140,186,210],"spectral":[7,34],"gap":[8,42,116],"uniform":[9],"in":[10,81,165],"the":[11,47,73,153,156,175,182,199,219,223],"number":[12],"of":[13,15,105,133,218],"sites":[14],"three-dimensional":[17],"SU(3)":[18],"Hamiltonian":[19,83],"lattice,":[20],"partitioned":[21],"into":[22],"disjoint":[23],"cube":[24],"blocks":[25],"and":[26,35,52,99,161,222,226],"free":[27],"bridge":[28],"links.":[29],"Using":[30],"previously":[31],"certified":[32],"one-cube":[33],"comparison":[36],"bounds,":[37],"we":[38,128],"obtain":[39],"dimensionless":[41],"at":[43,77,117,120,189],"least":[44,118],"2/9,":[45],"on":[46,54,155,174],"full":[48,114],"kinematic":[49,115],"Hilbert":[50],"space":[51],"hence":[53],"its":[55,163],"Gauss-invariant":[56],"subspace,":[57],"inter-block":[59],"plaquette":[60],"strength":[61],"0":[62],"\u2264":[63,65],"s":[64,69,121,190,204],"1/6144.":[66],"The":[67,85,193,216],"point":[68],"=":[70,79,122,191],"1":[71],"is":[72,208],"isotropic":[74],"Kogut\u2013Susskind":[75],"lattice":[76],"\u03b2":[78],"1/2":[80],"our":[82],"convention.":[84],"argument":[86],"combines":[87],"gauge-Casimir":[89],"comparison,":[90],"product-vacuum":[92],"fixed-point":[93],"construction,":[94],"an":[95,134,166],"excitation":[96,168],"resolvent":[97],"criterion,":[98],"orthogonal-output":[100],"estimates":[101],"with":[102],"constants":[103],"independent":[104],"volume.":[106],"An":[107],"isolated":[108],"two-cube,":[109],"two-bridge":[110],"block":[111],"has":[112],"1/3":[119],"1.":[123,192],"For":[124],"four-face":[126],"interface":[127,183],"retain":[129],"all":[130],"signed":[131],"entries":[132],"18-vector":[135],"output":[136],"Gram":[137,184],"matrix,":[138],"reducing":[139],"specified":[141],"residual":[142],"upper":[143],"bound":[144],"from":[145],"0.160048":[146],"to":[147],"0.146438.":[148],"Explicit":[149],"bounded":[150],"shears":[151,171],"improve":[152],"derivative":[154,195],"one-edge":[157],"charged":[158],"input":[159],"subspace":[160],"eliminate":[162],"columns":[164],"origin-level":[167],"test.":[169],"These":[170],"act":[172],"trivially":[173],"physical":[176],"neutral":[177],"sector;":[178],"neither":[179],"they":[180],"nor":[181],"establish":[185],"full-input":[187],"contraction":[188],"particular":[194],"majorant":[196],"used":[197],"global":[200],"theorem":[201],"cannot":[202],"certify":[203],"\u2265":[205],"1/4860;":[206],"this":[207],"not":[209],"no-go":[211],"result":[212],"other":[214],"methods.":[215],"scope":[217],"inherited":[220],"certificates":[221],"remaining":[224],"thermodynamic":[225],"continuum":[227],"questions":[228],"are":[229],"stated":[230],"separately.":[231]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2026-11-01T00:00:00"}
