{"id":"https://openalex.org/W7225807171","doi":"https://doi.org/10.5281/zenodo.24142661","title":"Construction of Four-Dimensional $SU(3)$ Yang-Mills Theory and Non-Perturbative Spectral Mass Gap in the Fundamental Pocket Model Discrete-Iteration Continuum Theory (FPM-DICT)","display_name":"Construction of Four-Dimensional $SU(3)$ Yang-Mills Theory and Non-Perturbative Spectral Mass Gap in the Fundamental Pocket Model Discrete-Iteration Continuum Theory (FPM-DICT)","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225807171","doi":"https://doi.org/10.5281/zenodo.24142661"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24142661","doi":"https://doi.org/10.5281/zenodo.24142661","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24142661","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.24142661","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071365920","display_name":"Patrick Merrick","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Merrick, Patrick","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5071365920"],"corresponding_institution_ids":[],"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9911999702453613,"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":0.9911999702453613,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.0034000000450760126,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.0007999999797903001,"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":[],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.557699978351593},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.48240000009536743},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4207000136375427},{"id":"https://openalex.org/C2777925532","wikidata":"https://www.wikidata.org/wiki/Q5357201","display_name":"Mass gap","level":2,"score":0.41839998960494995},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.41029998660087585},{"id":"https://openalex.org/C2777952282","wikidata":"https://www.wikidata.org/wiki/Q3354606","display_name":"Transfer operator","level":2,"score":0.3869999945163727},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3765000104904175},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.37369999289512634},{"id":"https://openalex.org/C122890649","wikidata":"https://www.wikidata.org/wiki/Q7834016","display_name":"Transfer matrix","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3682999908924103},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3569999933242798},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3547999858856201},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3172999918460846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C90738871","wikidata":"https://www.wikidata.org/wiki/Q41642869","display_name":"Configuration space","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C125198404","wikidata":"https://www.wikidata.org/wiki/Q1192916","display_name":"Instanton","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2870999872684479},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C2776465598","wikidata":"https://www.wikidata.org/wiki/Q1199270","display_name":"Glueball","level":3,"score":0.2694000005722046},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2685999870300293},{"id":"https://openalex.org/C114852677","wikidata":"https://www.wikidata.org/wiki/Q899044","display_name":"Fock space","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.2583000063896179}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24142661","doi":"https://doi.org/10.5281/zenodo.24142661","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24142661","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.24142662","doi":"https://doi.org/10.5281/zenodo.24142662","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24142662","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.24142661","doi":"https://doi.org/10.5281/zenodo.24142661","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24142661","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":[],"abstract_inverted_index":{"We":[0,56],"present":[1],"a":[2,6,25,65,140],"non-perturbative":[3],"construction":[4,108],"of":[5,118],"four-dimensional":[7],"$SU(3)$":[8,77],"quantum":[9],"Yang-Mills":[10],"theory":[11],"formulated":[12],"within":[13],"the":[14,58,81,92,112,119,133],"Fundamental":[15],"Pocket":[16],"Model":[17],"Discrete-Iteration":[18],"Continuum":[19],"Theory":[20],"(FPM-DICT).":[21],"The":[22],"framework":[23],"establishes":[24],"discrete,":[26],"integer-indexed":[27],"scale":[28,36],"hierarchy":[29],"$N":[30],"\\in":[31],"\\mathbb{N}_{0}$":[32],"governed":[33],"by":[34],"geometric":[35],"recursion":[37],"$R_{N+1}":[38],"=":[39,124],"q":[40],"R_{N}$":[41],"($q":[42],"\\approx":[43],"0.951229$)":[44],"while":[45],"preserving":[46],"continuous":[47],"4D":[48],"Euclidean":[49,114],"spacetime":[50],"$\\mathbb{R}^{4}$":[51],"at":[52],"every":[53],"discrete":[54],"tier.":[55],"construct":[57],"microscopic":[59],"state":[60,67],"space":[61,101],"$\\mathbb{F}_{N}$":[62],"and":[63,103],"derive":[64],"gauge-covariant":[66],"mapping":[68],"operator":[69,122],"$\\Pi_{N}:":[70],"\\Psi_{N}":[71],"\\to":[72,137],"H_{N}$":[73],"that":[74],"generates":[75],"local":[76],"gauge":[78],"connections":[79],"from":[80],"21-Element":[82],"Anchor":[83],"tensor":[84],"$A_{21}$.":[85],"Osterwalder-Schrader":[86],"reflection":[87],"positivity":[88],"is":[89],"proved":[90],"for":[91],"regulated":[93],"lattice":[94],"path":[95],"integral":[96],"measure,":[97],"enabling":[98],"physical":[99],"Hilbert":[100],"reconstruction":[102],"self-adjoint":[104],"Hamiltonian":[105],"transfer":[106],"matrix":[107],"$\\hat{H}_{N}$.":[109],"By":[110],"evaluating":[111],"connected":[113],"two-point":[115],"correlation":[116,130],"function":[117],"scalar":[120],"glueball":[121],"$C_{N}(x)":[123],"\\text{Tr}[F_{\\mu\\nu}^{(N)}":[125],"F^{\\mu\\nu,(N)}]$,":[126],"we":[127],"demonstrate":[128],"exponential":[129],"decay":[131],"in":[132],"continuum":[134],"limit":[135],"$a":[136],"0$,":[138],"establishing":[139],"strictly":[141],"positive":[142],"gauge-invariant":[143],"spectral":[144],"mass":[145],"gap":[146],"$m_{gap}(N)":[147],">":[148],"0$":[149],"across":[150],"all":[151],"iteration":[152],"depths.":[153]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}
