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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
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