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ファイル | 記述 | サイズ | フォーマット | |
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10.1093_ptep_ptz057.pdf | 983.21 kB | Adobe PDF | 見る/開く |
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DCフィールド | 値 | 言語 |
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dc.contributor.author | Lionni, Luca | en |
dc.contributor.author | Sasakura, Naoki | en |
dc.contributor.alternative | 笹倉, 直樹 | ja |
dc.date.accessioned | 2019-07-24T23:58:55Z | - |
dc.date.available | 2019-07-24T23:58:55Z | - |
dc.date.issued | 2019-07 | - |
dc.identifier.issn | 2050-3911 | - |
dc.identifier.uri | http://hdl.handle.net/2433/243192 | - |
dc.description.abstract | We consider a random matrix model with both pairwise and non-pairwise contracted indices. The partition function of the matrix model is similar to that appearing in some replicated systems with random tensor couplings, such as the p-spin spherical model for the spin glass. We analyze the model using Feynman diagrammatic expansions, and provide an exhaustive characterization of the graphs that dominate when the dimensions of the pairwise and (or) non-pairwise contracted indices are large. We apply this to investigate the properties of the wave function of a toy model closely related to a tensor model in the Hamilton formalism, which is studied in a quantum gravity context, and obtain a result in favor of the consistency of the quantum probabilistic interpretation of this tensor model. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Oxford University Press (OUP) | en |
dc.rights | © The Author(s) 2019. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.Funded by SCOAP3 | en |
dc.subject | A13 Other topics in mathematical physics | en |
dc.subject | B83 Matrix models | en |
dc.subject | B86 Statistical methods | en |
dc.subject | random systems | en |
dc.title | A random matrix model with non-pairwise contracted indices | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Progress of Theoretical and Experimental Physics | en |
dc.identifier.volume | 2019 | - |
dc.identifier.issue | 7 | - |
dc.relation.doi | 10.1093/ptep/ptz057 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | 073A01 | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 15K05050 | - |
datacite.awardNumber | 19K03825 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | 学術雑誌掲載論文等 |
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