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ファイル | 記述 | サイズ | フォーマット | |
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JHEP06(2015)191.pdf | 2.8 MB | Adobe PDF | 見る/開く |
タイトル: | Chaos in the BMN matrix model |
著者: | Asano, Yuhma Kawai, Daisuke Yoshida, Kentaroh |
著者名の別形: | 川井, 大輔 吉田, 健太郎 |
キーワード: | Integrable Equations in Physics M(atrix) Theories Penrose limit and pp-wave background |
発行日: | Jun-2015 |
出版者: | Springer Berlin Heidelberg |
誌名: | Journal of High Energy Physics |
巻: | 2015 |
論文番号: | 191 |
抄録: | We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ansätze: 1) two pulsating fuzzy spheres, 2) a single Coulomb-type potential, and 3) integrable fuzzy spheres. For the first two cases, we show the existence of chaos by computing Poincaré sections and a Lyapunov spectrum. The third case leads to an integrable system. As a result, the BMN matrix model is not integrable in the sense of Liouville, though there may be some integrable subsectors. |
著作権等: | © 2015, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 |
URI: | http://hdl.handle.net/2433/210358 |
DOI(出版社版): | 10.1007/JHEP06(2015)191 |
出現コレクション: | 学術雑誌掲載論文等 |

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