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Free products in AQFT
http://hdl.handle.net/2237/00030639
http://hdl.handle.net/2237/00030639ea6c568f-d7ea-4191-91fe-6dd9d8698e34
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2019-09-02 | |||||
タイトル | ||||||
タイトル | Free products in AQFT | |||||
言語 | en | |||||
著者 |
Longo, Roberto
× Longo, Roberto× Tanimoto, Yoh× Ueda, Yoshimichi |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | Cet article est mis à disposition selon les termes de la licence Creative Commons attribution – pas de modification 3.0 France. http://creativecommons.org/licenses/by-nd/3.0/fr/ | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Algebraic QFT | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | half-sided modular inclusions | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | conformal nets | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | free products | |||||
抄録 | ||||||
内容記述 | We apply the free product construction to various local algebras in algebraic quantum field theory. If we take the free product of infinitely many identical half-sided modular inclusions with ergodic canonical endomorphism, we obtain a half-sided modular inclusion with ergodic canonical endomorphism and trivial relative commutant. On the other hand, if we take Möbius covariant nets with trace class property, we are able to construct an inclusion of free product von Neumann algebras with large relative commutant, by considering either a finite family of identical inclusions or an infinite family of inequivalent inclusions. In two dimensional spacetime, we construct Borchers triples with trivial relative commutant by taking free products of infinitely many, identical Borchers triples. Free products of finitely many Borchers triples are possibly associated with Haag–Kastler net having S-matrix which is nontrivial and non asymptotically complete, yet the nontriviality of double cone algebras remains open. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Centre Mersenne, Annales de l'Institut Fourier | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.5802/aif.3269 | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1777-5310 | |||||
書誌情報 |
Annales de l'Institut Fourier 巻 69, 号 3, p. 1229-1258, 発行日 2019-06 |
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著者版フラグ | ||||||
値 | publisher |