{"id":"https://openalex.org/W7204895380","doi":"https://doi.org/10.48550/arxiv.2608.29213","title":"One-loop renormalization group flow of the translation-invariant noncommutative Yukawa theory","display_name":"One-loop renormalization group flow of the translation-invariant noncommutative Yukawa theory","publication_year":2026,"publication_date":"2026-08-29","ids":{"openalex":"https://openalex.org/W7204895380","doi":"https://doi.org/10.48550/arxiv.2608.29213"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29213","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29213","pdf_url":"https://arxiv.org/pdf/2608.29213","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/2608.29213","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081173854","display_name":"K Bouchachia","orcid":"https://orcid.org/0000-0001-7496-904X","observed_orcids":["https://orcid.org/0000-0001-7496-904X"]},"institutions":[{"id":"https://openalex.org/I4210128965","display_name":"University Yahia Fares of Medea","ror":"https://ror.org/02e2yc259","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210128965"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Bouchachia, Karim","raw_affiliation_strings":["Laboratory of Experimental Physics Techniques and Applications , University of Medea , Medea , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Experimental Physics Techniques and Applications , University of Medea , Medea , Algeria","institution_ids":["https://openalex.org/I4210128965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085979716","display_name":"S. Kouadik","orcid":"https://orcid.org/0000-0003-4581-3972","observed_orcids":["https://orcid.org/0000-0003-4581-3972"]},"institutions":[{"id":"https://openalex.org/I4210128965","display_name":"University Yahia Fares of Medea","ror":"https://ror.org/02e2yc259","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210128965"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Kouadik, Smain","raw_affiliation_strings":["Laboratory of Experimental Physics Techniques and Applications , University of Medea , Medea , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Experimental Physics Techniques and Applications , University of Medea , Medea , Algeria","institution_ids":["https://openalex.org/I4210128965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210128965"],"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9951000213623047,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9951000213623047,"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":0.0007999999797903001,"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"}},{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","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"}}],"keywords":[{"id":"https://openalex.org/keywords/noncommutative-field-theory","display_name":"noncommutative field theory","score":0.8820000290870667},{"id":"https://openalex.org/keywords/moyal-space","display_name":"Moyal space","score":0.8510000109672546},{"id":"https://openalex.org/keywords/beta-function","display_name":"beta function","score":0.9459999799728394},{"id":"https://openalex.org/keywords/renormalizability","display_name":"renormalizability","score":0.6660000085830688},{"id":"https://openalex.org/keywords/exact-integrals","display_name":"exact integrals","score":0.37400001287460327},{"id":"https://openalex.org/keywords/critical-trajectory","display_name":"critical trajectory","score":0.45100000500679016},{"id":"https://openalex.org/keywords/commutative-limit","display_name":"commutative limit","score":0.5870000123977661}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.6858000159263611},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.5322999954223633},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.48399999737739563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4607999920845032},{"id":"https://openalex.org/C2779710842","wikidata":"https://www.wikidata.org/wiki/Q6086323","display_name":"Isospectral","level":2,"score":0.4530999958515167},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4478999972343445},{"id":"https://openalex.org/C151195881","wikidata":"https://www.wikidata.org/wiki/Q1153833","display_name":"Yukawa potential","level":2,"score":0.415800005197525},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.41290000081062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4056999981403351},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.4020000100135803},{"id":"https://openalex.org/C157470216","wikidata":"https://www.wikidata.org/wiki/Q7922778","display_name":"Vertex function","level":2,"score":0.3903000056743622},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.38190001249313354},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.3804999887943268},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.38019999861717224},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.36309999227523804},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.36039999127388},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.33959999680519104},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.32519999146461487},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.31060001254081726},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3086000084877014},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.2533999979496002}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29213","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29213","pdf_url":"https://arxiv.org/pdf/2608.29213","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.2608.29213","doi":"https://doi.org/10.48550/arxiv.2608.29213","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29213","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":"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":"pmh:oai:arXiv.org:2608.29213","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29213","pdf_url":"https://arxiv.org/pdf/2608.29213","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/W7204895380.pdf","grobid_xml":"https://content.openalex.org/works/W7204895380.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1660956061","https://openalex.org/W1881939151","https://openalex.org/W1968756892","https://openalex.org/W1974665356","https://openalex.org/W1979771157","https://openalex.org/W1987032514","https://openalex.org/W2002435891","https://openalex.org/W2012004099","https://openalex.org/W2039263963","https://openalex.org/W2042112543","https://openalex.org/W2049977422","https://openalex.org/W2081223763","https://openalex.org/W2084826935","https://openalex.org/W2145954660","https://openalex.org/W2146215176","https://openalex.org/W2146808728","https://openalex.org/W2161156318","https://openalex.org/W2161879643","https://openalex.org/W2505175639","https://openalex.org/W2972169410","https://openalex.org/W3125764080","https://openalex.org/W4307302720","https://openalex.org/W4405369510","https://openalex.org/W4406861074","https://openalex.org/W4414920880"],"related_works":["https://openalex.org/W2042627362","https://openalex.org/W7095661352","https://openalex.org/W1966332559","https://openalex.org/W3106154100","https://openalex.org/W1981807224","https://openalex.org/W1881939151","https://openalex.org/W1982542763","https://openalex.org/W2051032436","https://openalex.org/W7097522524","https://openalex.org/W2113643102"],"abstract_inverted_index":{"We":[0,64,187],"study":[1],"the":[2,8,24,56,62,66,73,78,88,93,104,128,131,134,139,148,155,159,163,173,181,184,190,202,210],"one-loop":[3,46,59,67],"renormalization":[4],"group":[5],"flow":[6,96,129],"of":[7,23,61,154,162,183],"translation-invariant":[9],"noncommutative":[10],"pseudoscalar":[11],"Yukawa":[12,26],"theory":[13],"on":[14,87,201],"four-dimensional":[15],"Euclidean":[16],"Moyal":[17,136],"space.":[18],"The":[19,112],"two":[20,31,135],"inequivalent":[21],"orderings":[22,137],"Moyal-star":[25],"vertex":[27],"give":[28],"rise":[29],"to":[30,99],"independent":[32],"couplings":[33],"$g_{1}$":[34],"and":[35,76,92,121,141,179,196,206],"$g_{2}$,":[36],"whose":[37],"beta":[38],"functions":[39],"form":[40,200],"a":[41,51,84,100,116,151],"coupled":[42],"nonlinear":[43],"system;":[44],"every":[45],"divergence":[47],"is":[48,81,97,167,176],"absorbed":[49],"by":[50,83,103],"counterterm":[52],"already":[53],"present":[54],"in":[55,72,198],"action,":[57],"establishing":[58],"renormalizability":[60],"theory.":[63,212],"solve":[65,189],"system":[68],"analytically:":[69],"it":[70],"decouples":[71],"variables":[74],"$u=g_{1}^{2}+g_{2}^{2}$":[75],"$v=g_{1}^{2}-g_{2}^{2}$,":[77],"quartic":[79],"coupling":[80],"obtained":[82],"Riccati":[85],"reduction":[86],"symmetric":[89,118,203],"surface":[90,119],"$g_{1}=g_{2}$,":[91],"generic":[94],"asymmetric":[95,123],"reduced":[98],"single":[101],"quadrature":[102],"exact":[105],"invariant":[106],"$\\mathcal{I}=(g_{1}g_{2})^{3}/(g_{1}^{2}-g_{2}^{2})^{4}$.":[107],"Two":[108],"dynamical":[109],"consequences":[110],"follow.":[111],"ratio":[113],"$r=v/u$":[114],"has":[115],"UV-attractive":[117],"$r=0$":[120],"IR-attractive":[122],"directions":[124],"$r=\\pm1$,":[125],"so":[126],"that":[127],"restores":[130],"symmetry":[132],"between":[133],"towards":[138,147,170],"ultraviolet":[140],"amplifies":[142],"any":[143],"initial":[144],"ordering":[145],"asymmetry":[146],"infrared,":[149],"as":[150],"fractional":[152],"power":[153],"logarithm.":[156],"In":[157],"consequence":[158],"Yukawa-induced":[160],"coefficient":[161],"non-planar":[164],"$1/(\u03b8^{2}p^{2})$":[165],"structure":[166],"dynamically":[168],"suppressed":[169],"$p\\rightarrow":[171],"0$;":[172],"singularity":[174],"itself":[175],"not":[177],"removed,":[178],"remains":[180],"task":[182],"IR-improving":[185],"term.":[186],"also":[188],"dimensionful":[191],"sector":[192],"($M^{2}$,":[193],"$m$,":[194],"$a^{2}$":[195],"$b$)":[197],"closed":[199],"critical":[204],"trajectory,":[205],"compare":[207],"throughout":[208],"with":[209],"commutative":[211]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-02T00:00:00"}
