{"id":"https://openalex.org/W7204937184","doi":"https://doi.org/10.48550/arxiv.2608.30447","title":"Examples of Gribov copies in the presence of planar boundaries, and an emergent boundary gauge invariance in Yang-Mills theory","display_name":"Examples of Gribov copies in the presence of planar boundaries, and an emergent boundary gauge invariance in Yang-Mills theory","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7204937184","doi":"https://doi.org/10.48550/arxiv.2608.30447"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.30447","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30447","pdf_url":"https://arxiv.org/pdf/2608.30447","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/2608.30447","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041372856","display_name":"David Dudal","orcid":"https://orcid.org/0000-0003-1326-6011","observed_orcids":["https://orcid.org/0000-0003-1326-6011"]},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Dudal, David","raw_affiliation_strings":["KU Leuven Campus Kortrijk -Kulak ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU Leuven Campus Kortrijk -Kulak ,","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027211479","display_name":"Luigi Rosa","orcid":"https://orcid.org/0000-0002-5595-5037","observed_orcids":["https://orcid.org/0000-0002-5595-5037"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosa, Luigi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5099860102","display_name":"Sebbe Stouten","orcid":"https://orcid.org/0000-0002-3155-0924","observed_orcids":["https://orcid.org/0000-0002-3155-0924"]},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Stouten, Sebbe","raw_affiliation_strings":["Department of Physics , Etienne Sabbelaan 53 bus 7657 , 8500 Kortrijk , Belgium","KU Leuven Campus Kortrijk -Kulak ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Etienne Sabbelaan 53 bus 7657 , 8500 Kortrijk , Belgium","institution_ids":[]},{"raw_affiliation_string":"KU Leuven Campus Kortrijk -Kulak ,","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.4772999882698059,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.4772999882698059,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.25459998846054077,"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":0.21070000529289246,"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/gribov-copies","display_name":"Gribov copies","score":0.9990000128746033},{"id":"https://openalex.org/keywords/faddeev-popov-operator","display_name":"Faddeev-Popov operator","score":0.8930000066757202},{"id":"https://openalex.org/keywords/zero-modes","display_name":"zero modes","score":0.8050000071525574},{"id":"https://openalex.org/keywords/planar-boundary","display_name":"planar boundary","score":0.753000020980835},{"id":"https://openalex.org/keywords/parallel-plates","display_name":"parallel plates","score":0.9089999794960022},{"id":"https://openalex.org/keywords/yang-mills-theory","display_name":"Yang-Mills theory","score":0.8149999976158142},{"id":"https://openalex.org/keywords/non-perturbative-gauge-theory","display_name":"non-perturbative gauge theory","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.613099992275238},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5857999920845032},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.5278000235557556},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.5128999948501587},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47049999237060547},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4675999879837036},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.46619999408721924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4228000044822693},{"id":"https://openalex.org/C106881136","wikidata":"https://www.wikidata.org/wiki/Q275393","display_name":"Casimir effect","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36410000920295715},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3578000068664551},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.328000009059906},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C31593994","wikidata":"https://www.wikidata.org/wiki/Q832289","display_name":"Gauge fixing","level":4,"score":0.32409998774528503},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3206999897956848},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.2865999937057495},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.26899999380111694}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.30447","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30447","pdf_url":"https://arxiv.org/pdf/2608.30447","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.2608.30447","doi":"https://doi.org/10.48550/arxiv.2608.30447","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.30447","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:2608.30447","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30447","pdf_url":"https://arxiv.org/pdf/2608.30447","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/G1928125218","display_name":null,"funder_award_id":"C14/21/087","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G4184616848","display_name":null,"funder_award_id":"2022E2J4RK","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5222228002","display_name":"The Casimir Energy in QCD: from non-perturbative vacuum to flux tube","funder_award_id":"1132823N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G598502428","display_name":null,"funder_award_id":"PRIN2022","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G6800844821","display_name":null,"funder_award_id":"PANTHEON 2022E2J4RK","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320331528","display_name":"Ministero dell'Universit\u00e0 e della Ricerca","ror":"https://ror.org/0341vw408"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204937184.pdf","grobid_xml":"https://content.openalex.org/works/W7204937184.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1964752143","https://openalex.org/W1969179609","https://openalex.org/W1984825036","https://openalex.org/W1998182723","https://openalex.org/W2007551848","https://openalex.org/W2010219221","https://openalex.org/W2017439464","https://openalex.org/W2022894901","https://openalex.org/W2039661681","https://openalex.org/W2043176497","https://openalex.org/W2047702795","https://openalex.org/W2050414470","https://openalex.org/W2058863739","https://openalex.org/W2064627072","https://openalex.org/W2080992192","https://openalex.org/W2093503364","https://openalex.org/W2097343631","https://openalex.org/W2110901749","https://openalex.org/W2140609344","https://openalex.org/W2146662872","https://openalex.org/W2172279829","https://openalex.org/W2737102665","https://openalex.org/W2762328222","https://openalex.org/W2794030126","https://openalex.org/W2949791831","https://openalex.org/W3014443735","https://openalex.org/W3041543123","https://openalex.org/W3046547250","https://openalex.org/W4213141986","https://openalex.org/W4391335208","https://openalex.org/W4391347912","https://openalex.org/W4393932734","https://openalex.org/W4402641769","https://openalex.org/W4416358348","https://openalex.org/W7006283615","https://openalex.org/W7124242569","https://openalex.org/W7124996636"],"related_works":["https://openalex.org/W7212315596","https://openalex.org/W2602779604","https://openalex.org/W2025064669","https://openalex.org/W3107081810","https://openalex.org/W1572087203","https://openalex.org/W3064777069","https://openalex.org/W7097271901","https://openalex.org/W2025777384","https://openalex.org/W2086980236","https://openalex.org/W1973802279"],"abstract_inverted_index":{"First,":[0],"we":[1,68],"explicitly":[2],"construct":[3],"zero-modes":[4],"of":[5,13,33,72,99],"the":[6,11,31,54,61,64,70,92,104,109],"Yang-Mills":[7,44,84],"Faddeev-Popov":[8],"operator":[9],"in":[10,43,83,108],"presence":[12],"two":[14],"parallel":[15,96],"plates,":[16],"with":[17,36,46],"either":[18],"perfect":[19,23],"electric":[20],"(PEC)":[21],"or":[22],"magnetic":[24],"(PMC)":[25],"boundary":[26,55,75],"conditions":[27],"imposed.":[28],"This":[29,86],"establishes":[30],"existence":[32],"Gribov":[34],"copies":[35],"finite":[37,41],"action,":[38],"and":[39,80],"even":[40],"L_2-norm,":[42],"theory":[45],"non-trivial":[47],"interfaces.":[48],"We":[49],"adapt":[50],"Henyey's":[51],"construction,":[52],"although":[53],"configuration":[56],"imposes":[57],"extra":[58],"restrictions":[59],"on":[60],"ansatz":[62],"for":[63,78,101],"gauge":[65,76],"field.":[66],"Second,":[67],"discuss":[69],"phenomenon":[71],"an":[73],"emergent":[74],"invariance":[77],"PEC":[79],"PMC":[81],"plates":[82],"theory.":[85],"shall":[87],"be":[88],"important":[89],"when":[90],"applying":[91],"Gribov-Zwanziger":[93],"procedure":[94],"to":[95],"plate":[97],"setups,":[98],"relevance":[100],"non-perturbatively":[102],"studying":[103],"non-Abelian":[105],"Casimir":[106],"effect":[107],"future.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-02T00:00:00"}
