{"doi":"10.1143/ptp.115.1179","title":"Stability of 4-Dimensional Space-Time from the IIB Matrix Model via the Improved Mean Field Approximation","abstract":null,"journal":"Progress of Theoretical Physics","year":2006,"id":656290,"datarank":0.4493598410330987,"base_score":2.995732273553991,"endowment":2.995732273553991,"self_citation_contribution":0.4493598410330987,"citation_network_contribution":0.0,"self_endowment_contribution":0.4493598410330987,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":19,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":818089,"name":"H. Kawai","orcid":"0000-0002-7129-2384","position":1,"is_corresponding":false},{"id":1713215,"name":"Y. Shibusa","orcid":null,"position":2,"is_corresponding":false},{"id":1713213,"name":"T. Aoyama","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Stability of 4-Dimensional Space-Time from the IIB Matrix Model via the Improved Mean Field Approximation","abstract":"We investigate the origin of our four-dimensional space-time by considering dynamical aspects of the IIB matrix model using the improved mean field approximation. Previous works have focused on the specific choices of configurations as ansatz which preserve SO(d) rotational symmetry. In this report, an extended ansatz is proposed and examined up to a third-order approximation which includes both the SO(4) ansatz and the SO(7) ansatz in their respective limits. From the solutions of the self-consistency condition represented by the extrema of the free energy of the system, it is found that some of the solutions found in the SO(4) or SO(7) ansatz disappear in the extended ansatz. This implies that the extension of ansatz can be used to distinguish stable solutions from unstable solutions. It is also found that there is a non-trivial accumulation of extrema including the SO(4)-preserving solution, which may lead to the formation of a plateau.","is_dataset_classified":null,"base_score":2.995732273553991,"endowment":2.995732273553991,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19162232","pmcid":null,"openalex_id":"https://openalex.org/W2089909466","authors":[],"funders":[],"total_grants":0,"fwci":1.788,"citation_percentile":0.84762692,"influential_citations":0,"citation_trend":[{"year":2013,"count":1},{"year":2015,"count":2},{"year":2020,"count":4}],"oa_status":"bronze","license":null,"oa_locations":[{"url":"https://academic.oup.com/ptp/article-pdf/115/6/1179/5259111/115-6-1179.pdf","host_type":"journal"},{"url":"https://academic.oup.com/ptp/article-pdf/115/6/1179/5259111/115-6-1179.pdf","host_type":"publisher"},{"url":"http://academic.oup.com/ptp/article-pdf/115/6/1179/5259111/115-6-1179.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1143/ptp.115.1179","host_type":"journal"},{"url":"http://arxiv.org/abs/hep-th/0602244","host_type":"repository"},{"url":"http://cds.cern.ch/record/931416","host_type":"repository"},{"url":"https://arxiv.org/pdf/hep-th/0602244","host_type":"repository"}],"fields_of_study":["Cosmology and Gravitation Theories","Nonlinear Waves and Solitons","Quantum Mechanics and Applications"],"mesh_terms":[],"keywords":["Ansatz","Physics","Maxima and minima","Symmetry (geometry)","Matrix (chemical analysis)","Field (mathematics)","Statistical physics","Mathematical physics","Space (punctuation)","Stability (learning theory)","Mathematical analysis","Mathematics","Pure mathematics","Geometry"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Affordable and clean energy"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-11T20:23:15.507257Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}