{"id":"https://openalex.org/W7170689102","doi":"https://doi.org/10.1103/b332-8ryl","title":"Boundary completion of vacuum persistence probability","display_name":"Boundary completion of vacuum persistence probability","publication_year":2026,"publication_date":"2026-11-02","ids":{"openalex":"https://openalex.org/W7170689102","doi":"https://doi.org/10.1103/b332-8ryl"},"language":"en","primary_location":{"id":"doi:10.1103/b332-8ryl","doi":"https://doi.org/10.1103/b332-8ryl","is_oa":false,"landing_page_url":"https://doi.org/10.1103/b332-8ryl","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2607.20936","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103595918","display_name":"Yu Zhou","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu Zhou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057052297","display_name":"Hai-Qing Zhang","orcid":"https://orcid.org/0000-0003-4941-7432","observed_orcids":["https://orcid.org/0000-0003-4941-7432"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hai-Qing Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.48740711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.350600004196167,"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":0.350600004196167,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.18459999561309814,"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":0.14110000431537628,"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/imaginary-part-of-effective-action","display_name":"imaginary part of effective action","score":0.765999972820282},{"id":"https://openalex.org/keywords/vacuum-instability","display_name":"vacuum instability","score":0.7670000195503235},{"id":"https://openalex.org/keywords/particle-production","display_name":"particle production","score":0.9010000228881836},{"id":"https://openalex.org/keywords/boundary-completion","display_name":"boundary completion","score":0.8830000162124634}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6238999962806702},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5968000292778015},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5613999962806702},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.5151000022888184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5066999793052673},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.47049999237060547},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.4611000120639801},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.398499995470047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38089999556541443},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35409998893737793},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.33570000529289246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3086000084877014},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C70662872","wikidata":"https://www.wikidata.org/wiki/Q766202","display_name":"Vacuum state","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.2775999903678894},{"id":"https://openalex.org/C6947382","wikidata":"https://www.wikidata.org/wiki/Q1143773","display_name":"Vacuum energy","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.2581000030040741}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/b332-8ryl","doi":"https://doi.org/10.1103/b332-8ryl","is_oa":false,"landing_page_url":"https://doi.org/10.1103/b332-8ryl","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2607.20936","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.20936","pdf_url":"https://arxiv.org/pdf/2607.20936","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.2607.20936","doi":"https://doi.org/10.48550/arxiv.2607.20936","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.20936","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:2607.20936","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.20936","pdf_url":"https://arxiv.org/pdf/2607.20936","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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7170689102.pdf","grobid_xml":"https://content.openalex.org/works/W7170689102.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W67521691","https://openalex.org/W2071621674","https://openalex.org/W7160998259","https://openalex.org/W2071661208","https://openalex.org/W1996826477","https://openalex.org/W2125796426","https://openalex.org/W1588011890","https://openalex.org/W2108103901","https://openalex.org/W14743347","https://openalex.org/W3100146581"],"abstract_inverted_index":{"The":[0,84],"vacuum":[1,19,61],"persistence":[2],"probability,":[3],"encoded":[4],"in":[5,67],"the":[6,10,30,34,50,55,59,68,76,80,90,95],"imaginary":[7],"part":[8],"of":[9,18,79],"in-out":[11,70],"effective":[12],"action,":[13],"is":[14,86],"a":[15],"basic":[16],"measure":[17],"instability":[20],"and":[21,33,89],"particle":[22],"production.":[23],"However,":[24],"its":[25],"evaluation":[26],"may":[27],"appear":[28],"prescription-dependent:":[29],"Bogoliubov":[31,96],"prescription":[32,37,53],"Green's":[35,51,81],"function":[36,52,82],"can":[38],"yield":[39],"different":[40],"expressions.":[41],"We":[42],"show":[43],"that":[44],"this":[45,73],"apparent":[46],"ambiguity":[47,85],"arises":[48],"because":[49],"omits":[54],"nontrivial":[56],"contribution":[57,74],"from":[58],"endpoint":[60],"wavefunctionals,":[62],"which":[63],"should":[64],"be":[65],"present":[66],"complete":[69,91],"amplitude.":[71],"Including":[72],"accomplishes":[75],"boundary":[77],"completion":[78],"prescription.":[83],"thereby":[87],"resolved,":[88],"result":[92],"agrees":[93],"with":[94],"expression.":[97]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-07-25T00:00:00"}