2015年6月
Chaos in the BMN matrix model
JOURNAL OF HIGH ENERGY PHYSICS
- ,
- ,
- 巻
- 06
- 号
- 6
- 開始ページ
- 191
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/JHEP06(2015)191
- 出版者・発行元
- SPRINGER
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 ansatze: 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 Poincare 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.
- リンク情報
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- DOI
- https://doi.org/10.1007/JHEP06(2015)191
- arXiv
- http://arxiv.org/abs/arXiv:1503.04594
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000358317800001&DestApp=WOS_CPL
- URL
- http://inspirehep.net/record/1352862
- URL
- http://orcid.org/0000-0002-1722-6685
- ID情報
-
- DOI : 10.1007/JHEP06(2015)191
- ISSN : 1029-8479
- ORCIDのPut Code : 48400280
- arXiv ID : arXiv:1503.04594
- Web of Science ID : WOS:000358317800001