{"id":"https://openalex.org/W7223667397","doi":"https://doi.org/10.48550/arxiv.2610.32599","title":"Gauge-field energy density in inflationary kinetic-coupling models: QFT regularization versus horizon cutoffs","display_name":"Gauge-field energy density in inflationary kinetic-coupling models: QFT regularization versus horizon cutoffs","publication_year":2026,"publication_date":"2026-10-23","ids":{"openalex":"https://openalex.org/W7223667397","doi":"https://doi.org/10.48550/arxiv.2610.32599"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.32599","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32599","pdf_url":"https://arxiv.org/pdf/2610.32599","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/2610.32599","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159725487","display_name":"A. O. Naidenko","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Naidenko, A. O.","raw_affiliation_strings":["Physics Faculty , Taras Shevchenko National University of Kyiv , 64/13 , Volodymyrska Street , 01601 Kyiv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Faculty , Taras Shevchenko National University of Kyiv , 64/13 , Volodymyrska Street , 01601 Kyiv , Ukraine","institution_ids":["https://openalex.org/I189238007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159701618","display_name":"O. O. Sobol","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]},{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE","UA"],"is_corresponding":false,"raw_author_name":"Sobol, O. O.","raw_affiliation_strings":["Institute for Theoretical Physics , University of M\u00fcnster , Wilhelm-Klemm-Stra\u00dfe 9 , 48149 M\u00fcnster , Germany","Physics Faculty , Taras Shevchenko National University of Kyiv , 64/13 , Volodymyrska Street , 01601 Kyiv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics , University of M\u00fcnster , Wilhelm-Klemm-Stra\u00dfe 9 , 48149 M\u00fcnster , Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Physics Faculty , Taras Shevchenko National University of Kyiv , 64/13 , Volodymyrska Street , 01601 Kyiv , Ukraine","institution_ids":["https://openalex.org/I189238007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159633315","display_name":"S. I. Vilchinskii","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]},{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["CH","UA"],"is_corresponding":false,"raw_author_name":"Vilchinskii, S. I.","raw_affiliation_strings":["D\u00e9partement de Physique Th\u00e9orique and Center for Astroparticle Physics , Universit\u00e9 de Gen\u00e8ve , 24 quai Ernest Ansermet , 1211 Gen\u00e8ve 4 , Switzerland","Physics Faculty , Taras Shevchenko National University of Kyiv , 64/13 , Volodymyrska Street , 01601 Kyiv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Physique Th\u00e9orique and Center for Astroparticle Physics , Universit\u00e9 de Gen\u00e8ve , 24 quai Ernest Ansermet , 1211 Gen\u00e8ve 4 , Switzerland","institution_ids":["https://openalex.org/I114457229"]},{"raw_affiliation_string":"Physics Faculty , Taras Shevchenko National University of Kyiv , 64/13 , Volodymyrska Street , 01601 Kyiv , Ukraine","institution_ids":["https://openalex.org/I189238007"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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":0.00039999998989515007,"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":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/kinetic-coupling","display_name":"kinetic coupling","score":0.5550000071525574},{"id":"https://openalex.org/keywords/inflaton","display_name":"inflaton","score":0.652999997138977},{"id":"https://openalex.org/keywords/abelian-gauge-fields","display_name":"Abelian gauge fields","score":0.8100000023841858},{"id":"https://openalex.org/keywords/inflation-cosmology","display_name":"inflation (cosmology)","score":0.6209999918937683},{"id":"https://openalex.org/keywords/dimensional-regularization","display_name":"dimensional regularization","score":0.8510000109672546},{"id":"https://openalex.org/keywords/ultraviolet-divergences","display_name":"ultraviolet divergences","score":0.875},{"id":"https://openalex.org/keywords/de-sitter-background","display_name":"de Sitter background","score":0.8859999775886536},{"id":"https://openalex.org/keywords/quantum-fluctuations","display_name":"quantum fluctuations","score":0.43700000643730164}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8101000189781189},{"id":"https://openalex.org/C173153575","wikidata":"https://www.wikidata.org/wiki/Q2576923","display_name":"Inflaton","level":3,"score":0.7164000272750854},{"id":"https://openalex.org/C2778217198","wikidata":"https://www.wikidata.org/wiki/Q556977","display_name":"Cutoff","level":2,"score":0.7074000239372253},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6309999823570251},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5236999988555908},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4896000027656555},{"id":"https://openalex.org/C200941418","wikidata":"https://www.wikidata.org/wiki/Q273508","display_name":"Inflation (cosmology)","level":2,"score":0.42579999566078186},{"id":"https://openalex.org/C207297109","wikidata":"https://www.wikidata.org/wiki/Q15605","display_name":"Cosmic microwave background","level":3,"score":0.4156000018119812},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.39320001006126404},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.38909998536109924},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.38040000200271606},{"id":"https://openalex.org/C2778632639","wikidata":"https://www.wikidata.org/wiki/Q1936915","display_name":"Minimal coupling","level":2,"score":0.36250001192092896},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.3531000018119812},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.352400004863739},{"id":"https://openalex.org/C120484201","wikidata":"https://www.wikidata.org/wiki/Q2246697","display_name":"Quantum field theory in curved spacetime","level":4,"score":0.3472999930381775},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.34610000252723694},{"id":"https://openalex.org/C2983502797","wikidata":"https://www.wikidata.org/wiki/Q828402","display_name":"Energy density","level":2,"score":0.3357999920845032},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.3231000006198883},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3230000138282776},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.31790000200271606},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.30570000410079956},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.3052999973297119},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.30390000343322754},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C2776590265","wikidata":"https://www.wikidata.org/wiki/Q5277275","display_name":"Dimensional regularization","level":3,"score":0.29809999465942383},{"id":"https://openalex.org/C6947382","wikidata":"https://www.wikidata.org/wiki/Q1143773","display_name":"Vacuum energy","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C31593994","wikidata":"https://www.wikidata.org/wiki/Q832289","display_name":"Gauge fixing","level":4,"score":0.2892000079154968},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2728999853134155},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.2615000009536743},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C141886431","wikidata":"https://www.wikidata.org/wiki/Q1193821","display_name":"Quantum fluctuation","level":3,"score":0.2538999915122986},{"id":"https://openalex.org/C19262093","wikidata":"https://www.wikidata.org/wiki/Q3036474","display_name":"De Sitter universe","level":3,"score":0.25380000472068787},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.25290000438690186},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.25049999356269836},{"id":"https://openalex.org/C50368034","wikidata":"https://www.wikidata.org/wiki/Q1171303","display_name":"Self-energy","level":3,"score":0.25029999017715454}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.32599","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32599","pdf_url":"https://arxiv.org/pdf/2610.32599","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.2610.32599","doi":"https://doi.org/10.48550/arxiv.2610.32599","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.32599","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:2610.32599","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32599","pdf_url":"https://arxiv.org/pdf/2610.32599","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/W7223667397.pdf","grobid_xml":"https://content.openalex.org/works/W7223667397.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W119088996","https://openalex.org/W1570553508","https://openalex.org/W1992204683","https://openalex.org/W1993237053","https://openalex.org/W2084173650","https://openalex.org/W2130830459","https://openalex.org/W2164085433","https://openalex.org/W4234779674"],"related_works":["https://openalex.org/W1994241419","https://openalex.org/W2982637821","https://openalex.org/W3025099495","https://openalex.org/W2163073060","https://openalex.org/W2923595203","https://openalex.org/W2044608355","https://openalex.org/W4398141888","https://openalex.org/W7020557155","https://openalex.org/W2168119774","https://openalex.org/W2059296191"],"abstract_inverted_index":{"Coupling":[0],"gauge":[1,46],"fields":[2],"to":[3,16,26,50,101],"the":[4,35,51,81,89,96,115,123,137,141,145,151,163,170,176,182,201],"inflaton":[5,52],"can":[6,133,189],"amplify":[7],"their":[8],"quantum":[9],"fluctuations":[10],"during":[11],"inflation,":[12],"with":[13,60,68,150],"potential":[14],"applications":[15],"a":[17,56,72],"range":[18],"of":[19,114,125,166,175,200],"cosmological":[20],"phenomena.":[21],"A":[22],"central":[23],"challenge":[24],"is":[25],"define":[27],"finite":[28],"and":[29,63,76,87,185],"physically":[30],"meaningful":[31],"observables,":[32],"such":[33],"as":[34],"gauge-field":[36,131],"energy":[37,99,154],"density.":[38,155],"In":[39],"this":[40,180],"work,":[41],"we":[42,79],"study":[43],"an":[44],"Abelian":[45],"field":[47],"kinetically":[48],"coupled":[49],"through":[53],"$f^2(\u03d5)F_{\u03bc\u03bd}F^{\u03bc\u03bd}$":[54],"in":[55,84],"de":[57],"Sitter":[58],"background":[59],"$f\\propto":[61],"a^{\u03b3_1}$,":[62],"compare":[64],"conventional":[65],"quantum-field-theoretic":[66],"regularization":[67],"horizon-cutoff":[69,108,202],"prescriptions.":[70,203],"Using":[71],"hard":[73],"physical-momentum":[74],"cutoff":[75],"dimensional":[77],"regularization,":[78,193],"derive":[80],"ultraviolet":[82],"divergences":[83],"closed":[85],"form":[86],"fix":[88],"remaining":[90],"one-parameter":[91],"finite-part":[92,143,177],"ambiguity":[93],"by":[94,198],"requiring":[95],"coupling-induced":[97],"total":[98,153],"density":[100],"be":[102],"nonnegative.":[103],"We":[104],"then":[105],"examine":[106],"five":[107],"prescriptions":[109,168],"based":[110],"on":[111,122],"characteristic":[112],"scales":[113],"mode":[116],"equations.":[117],"Their":[118],"predictions":[119],"depend":[120],"sensitively":[121],"choice":[124],"horizon":[126,147],"scale":[127],"and,":[128],"for":[129,140],"weak":[130],"production,":[132],"deviate":[134],"substantially":[135],"from":[136,169],"regularized":[138,152,171],"result;":[139],"adopted":[142],"prescription,":[144],"minimal":[146],"agrees":[148],"best":[149],"As":[156],"$|\u03b3_1|\\to":[157],"2$,":[158],"where":[159],"infrared":[160],"modes":[161],"dominate,":[162],"relative":[164],"deviation":[165],"all":[167],"result":[172],"vanishes,":[173],"independently":[174],"prescription.":[178],"Outside":[179],"regime,":[181],"separate":[183],"electric":[184],"magnetic":[186],"contributions,":[187],"which":[188],"become":[190],"negative":[191],"after":[192],"are":[194],"not":[195],"reliably":[196],"reproduced":[197],"any":[199]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-27T00:00:00"}