{"id":"https://openalex.org/W7220669162","doi":"https://doi.org/10.48550/arxiv.2610.03862","title":"Complex Worldline Instantons in (Anti-)de Sitter Space","display_name":"Complex Worldline Instantons in (Anti-)de Sitter Space","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220669162","doi":"https://doi.org/10.48550/arxiv.2610.03862"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.03862","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03862","pdf_url":"https://arxiv.org/pdf/2610.03862","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/2610.03862","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024362556","display_name":"Alberto Castellano","orcid":"https://orcid.org/0000-0003-0371-7552","observed_orcids":["https://orcid.org/0000-0003-0371-7552"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Castellano, Alberto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002856656","display_name":"Jinwei Chu","orcid":"https://orcid.org/0009-0000-6553-0748","observed_orcids":["https://orcid.org/0009-0000-6553-0748"]},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chu, Jinwei","raw_affiliation_strings":["Enrico Fermi Institute & Leinweber Institute for Theoretical Physics , University of Chicago , Chicago , IL 60637 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Enrico Fermi Institute & Leinweber Institute for Theoretical Physics , University of Chicago , Chicago , IL 60637 , USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123234933","display_name":"Eliseu Kloster","orcid":"https://orcid.org/0009-0002-1796-1628","observed_orcids":["https://orcid.org/0009-0002-1796-1628"]},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kloster, Eliseu","raw_affiliation_strings":["Department of Astronomy & Astrophysics , University of Chicago , Chicago , IL 60637 , USA","Kavli Institute for Cosmological Physics , University of Chicago , Chicago , IL 60637 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Astronomy & Astrophysics , University of Chicago , Chicago , IL 60637 , USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Kavli Institute for Cosmological Physics , University of Chicago , Chicago , IL 60637 , USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015296815","display_name":"Jamie A. P. Law-Smith","orcid":"https://orcid.org/0000-0001-8825-4790","observed_orcids":["https://orcid.org/0000-0001-8825-4790"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Law-Smith, Jamie A. P.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"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":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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9994999766349792,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9994999766349792,"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":9.999999747378752e-05,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":9.999999747378752e-05,"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/worldline-instantons","display_name":"worldline instantons","score":0.8920000195503235},{"id":"https://openalex.org/keywords/complex-saddle-points","display_name":"complex saddle points","score":0.8980000019073486},{"id":"https://openalex.org/keywords/anti-de-sitter-space","display_name":"anti-de Sitter space","score":0.7540000081062317},{"id":"https://openalex.org/keywords/de-sitter-space","display_name":"de Sitter space","score":1.0},{"id":"https://openalex.org/keywords/uniform-electric-field","display_name":"uniform electric field","score":0.7210000157356262},{"id":"https://openalex.org/keywords/nonperturbative-effects","display_name":"non-perturbative effects","score":0.859000027179718},{"id":"https://openalex.org/keywords/winding-number","display_name":"winding number","score":0.7710000276565552}],"concepts":[{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.6996999979019165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6991999745368958},{"id":"https://openalex.org/C125198404","wikidata":"https://www.wikidata.org/wiki/Q1192916","display_name":"Instanton","level":2,"score":0.607699990272522},{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.5764999985694885},{"id":"https://openalex.org/C19262093","wikidata":"https://www.wikidata.org/wiki/Q3036474","display_name":"De Sitter universe","level":3,"score":0.5608999729156494},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5325999855995178},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5253000259399414},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5069000124931335},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.49729999899864197},{"id":"https://openalex.org/C107829132","wikidata":"https://www.wikidata.org/wiki/Q574780","display_name":"Anti-de Sitter space","level":2,"score":0.45179998874664307},{"id":"https://openalex.org/C110528137","wikidata":"https://www.wikidata.org/wiki/Q5347246","display_name":"Effective action","level":2,"score":0.40389999747276306},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.4000000059604645},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.3837999999523163},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3598000109195709},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.35429999232292175},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.35420000553131104},{"id":"https://openalex.org/C22366356","wikidata":"https://www.wikidata.org/wiki/Q1179448","display_name":"De Sitter space","level":4,"score":0.34380000829696655},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.3402000069618225},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3334999978542328},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.33070001006126404},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.3133000135421753},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C42519931","wikidata":"https://www.wikidata.org/wiki/Q1200279","display_name":"Killing vector field","level":2,"score":0.3125},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C2776716506","wikidata":"https://www.wikidata.org/wiki/Q5161158","display_name":"Conjugate points","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C45542137","wikidata":"https://www.wikidata.org/wiki/Q381040","display_name":"Complex conjugate","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.26080000400543213},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.03862","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03862","pdf_url":"https://arxiv.org/pdf/2610.03862","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.2610.03862","doi":"https://doi.org/10.48550/arxiv.2610.03862","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.03862","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:2610.03862","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03862","pdf_url":"https://arxiv.org/pdf/2610.03862","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/G478389512","display_name":"Exploring String Theory with and without Supersymmetry","funder_award_id":"2412985","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8351820194","display_name":"Exploring the Topography of String Theory and Quantum Field Theory","funder_award_id":"2014195","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309018","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71"},{"id":"https://openalex.org/F4320318567","display_name":"Westlake University","ror":null},{"id":"https://openalex.org/F4320334168","display_name":"Kavli Institute for Cosmological\u00a0Physics, University of Chicago","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220669162.pdf","grobid_xml":"https://content.openalex.org/works/W7220669162.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1508562980","https://openalex.org/W1567131888","https://openalex.org/W1641574961","https://openalex.org/W1673721742","https://openalex.org/W1806812900","https://openalex.org/W1937391993","https://openalex.org/W1984867876","https://openalex.org/W1988559873","https://openalex.org/W2014295073","https://openalex.org/W2024842046","https://openalex.org/W2027454587","https://openalex.org/W2045978557","https://openalex.org/W2046911145","https://openalex.org/W2051315754","https://openalex.org/W2072425273","https://openalex.org/W2087475810","https://openalex.org/W2093955435","https://openalex.org/W2123424901","https://openalex.org/W2131275765","https://openalex.org/W2135498825","https://openalex.org/W2136697405","https://openalex.org/W2141542393","https://openalex.org/W2152132216","https://openalex.org/W2155324297","https://openalex.org/W2195757990","https://openalex.org/W2195967232","https://openalex.org/W2260887616","https://openalex.org/W2267408057","https://openalex.org/W2292150870","https://openalex.org/W2298082544","https://openalex.org/W2351394366","https://openalex.org/W2605922444","https://openalex.org/W2788846993","https://openalex.org/W2944554698","https://openalex.org/W2953381543","https://openalex.org/W2963744865","https://openalex.org/W3087924384","https://openalex.org/W4200633826","https://openalex.org/W4221038040","https://openalex.org/W4385272588","https://openalex.org/W4386471167","https://openalex.org/W4403888082","https://openalex.org/W4413378546","https://openalex.org/W4416445987","https://openalex.org/W7128737732","https://openalex.org/W7131436303","https://openalex.org/W7148519010","https://openalex.org/W7161311629","https://openalex.org/W7168361652"],"related_works":["https://openalex.org/W2051315754","https://openalex.org/W2195967232","https://openalex.org/W7068045491","https://openalex.org/W3213046629","https://openalex.org/W1718536818","https://openalex.org/W4313489794","https://openalex.org/W3016445563","https://openalex.org/W7128737732","https://openalex.org/W3158660080","https://openalex.org/W1683037510"],"abstract_inverted_index":{"We":[0,199],"study":[1],"complex":[2,54,92],"saddle":[3],"points":[4],"of":[5,51,60,79,151,209],"the":[6,25,31,38,42,58,76,123,136,148,152,157,164,183,202,210,226,257],"worldline":[7,26,124],"path":[8,259],"integral":[9],"for":[10,95,110],"massive":[11],"charged":[12],"particles":[13],"in":[14,66,85,144,180,190,233,253],"two-dimensional":[15],"maximally":[16],"symmetric":[17],"backgrounds":[18],"threaded":[19],"by":[20,57,156],"homogeneous":[21],"electric":[22],"fields.":[23],"Within":[24],"formalism,":[27],"we":[28,106,120,224],"show":[29],"that":[30,73,83,122,228],"semiclassical":[32],"saddles":[33,251],"generically":[34],"require":[35],"complexifying":[36],"both":[37],"target":[39],"spacetime":[40],"and":[41,112,119,139,171],"proper-time":[43,61],"parameter.":[44],"The":[45,63],"resulting":[46],"solutions":[47,153,231],"comprise":[48],"two":[49],"slices":[50],"a":[52,104,108,195,205],"single":[53],"family,":[55],"distinguished":[56],"direction":[59],"evolution.":[62],"one":[64],"evolving":[65,84],"imaginary":[67],"proper":[68,87],"time":[69,88],"carries":[70],"an":[71],"action":[72,125,203],"typically":[74],"controls":[75],"exponential":[77],"suppression":[78],"non-perturbative":[80],"effects,":[81],"while":[82],"real":[86],"may":[89],"encode":[90],"additional":[91],"phases":[93],"responsible":[94],"quantum":[96],"interference":[97],"between":[98],"saddles.":[99],"Treating":[100],"this":[101,188],"family":[102],"as":[103,204],"whole,":[105],"give":[107],"prescription":[109],"constructing":[111],"classifying":[113],"all":[114],"topologically":[115],"inequivalent":[116],"instanton":[117],"sectors,":[118],"find":[121],"depends":[126],"only":[127],"on":[128,249],"their":[129],"topological":[130],"data,":[131],"namely":[132],"winding":[133],"numbers":[134],"around":[135],"compact":[137],"directions":[138],"certain":[140],"isolated":[141],"punctures.":[142],"Moreover,":[143],"Anti-de":[145],"Sitter":[146,242],"spacetime,":[147,192],"qualitative":[149],"structure":[150],"is":[154],"governed":[155],"dimensionless":[158],"ratio":[159],"$R":[160],"|eE|/m$":[161],"($R$":[162],"being":[163],"curvature":[165,196],"radius),":[166],"which":[167,193,217,250],"distinguishes":[168],"sub-extremal,":[169],"extremal,":[170],"super-extremal":[172],"regimes.":[173],"By":[174],"contrast,":[175],"no":[176],"analogous":[177],"distinction":[178],"occurs":[179],"de":[181],"Sitter---where":[182],"instantons":[184],"are":[185,237],"insensitive":[186],"to":[187,239,256],"ratio---or":[189],"Minkowski":[191],"lacks":[194],"scale":[197],"altogether.":[198],"also":[200],"recast":[201],"sum":[206],"over":[207],"residues":[208],"relevant":[211],"(non-conserved)":[212],"conjugate":[213],"momentum,":[214],"making":[215],"transparent":[216],"analytic":[218],"data":[219],"control":[220],"each":[221],"contribution.":[222],"Finally,":[223],"discuss":[225],"subtleties":[227],"arise":[229],"when":[230],"built":[232],"various":[234],"local":[235],"patches":[236],"lifted":[238],"global":[240],"(Anti-)de":[241],"space.":[243],"These":[244],"impose":[245],"further":[246],"necessary":[247],"conditions":[248],"can":[252],"principle":[254],"contribute":[255],"one-loop":[258],"integral.":[260]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
