Canonical Nambu mechanics: Relevance to string/M-theory and approaches to quantization
Abstract We review some aspects of Nambu mechanics on the basis of works previously published separately by the present author. The main focuses are on three themes: the various symmetry structures, their possible relevance to string/M-theory, and a Hamilton–Jacobi-like reformulation. We try to eluc...
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| Veröffentlicht in: | Progress of theoretical and experimental physics 2021-12, Vol.2021 (12) |
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| container_title | Progress of theoretical and experimental physics |
| container_volume | 2021 |
| creator | Yoneya, Tamiaki |
| description | Abstract
We review some aspects of Nambu mechanics on the basis of works previously published separately by the present author. The main focuses are on three themes: the various symmetry structures, their possible relevance to string/M-theory, and a Hamilton–Jacobi-like reformulation. We try to elucidate the basic ideas, most of which were rooted in more or less the same ground, and to explain the motivations behind these works from a unified and vantage viewpoint. Various unsolved questions are mentioned. We also include a historical account of the genesis of Nambu mechanics, and discuss (in the appendix) some parallelism of various ideas behind Nambu’s paper with Dirac’s old works which are related to the description of vortical flows in terms of gauge potentials. |
| doi_str_mv | 10.1093/ptep/ptab050 |
| format | Article |
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We review some aspects of Nambu mechanics on the basis of works previously published separately by the present author. The main focuses are on three themes: the various symmetry structures, their possible relevance to string/M-theory, and a Hamilton–Jacobi-like reformulation. We try to elucidate the basic ideas, most of which were rooted in more or less the same ground, and to explain the motivations behind these works from a unified and vantage viewpoint. Various unsolved questions are mentioned. We also include a historical account of the genesis of Nambu mechanics, and discuss (in the appendix) some parallelism of various ideas behind Nambu’s paper with Dirac’s old works which are related to the description of vortical flows in terms of gauge potentials.</description><issn>2050-3911</issn><issn>2050-3911</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>TOX</sourceid><recordid>eNp9kLFOwzAURS0EElXpxgd4YyH0OY7jmA1VUJAKSAhYoxfHIUGpHWwXqXw9qdqBieXdp6ujOxxCzhlcMVB8PkQzjAcrEHBEJukYCVeMHf_5T8kshE8AYCAlZGxC3hdone009vQJ19WGro1ucSzCNX0xvflGqw2NjoboO_sxf0xia5zfUrQ1xWHwDnVrwo742qCN3Q_GztkzctJgH8zskFPydnf7urhPVs_Lh8XNKtE8h5ikTQOFSrOsUBwaJnNepXldSGVULUQOBa-g5lIYhjkvsjoXGRNaqlpVVSOR8ym53O9q70LwpikH363Rb0sG5U5LudNSHrSM-MUed5vhf_IXYLxkuA</recordid><startdate>20211201</startdate><enddate>20211201</enddate><creator>Yoneya, Tamiaki</creator><general>Oxford University Press</general><scope>TOX</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20211201</creationdate><title>Canonical Nambu mechanics: Relevance to string/M-theory and approaches to quantization</title><author>Yoneya, Tamiaki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-2ff0892448930f1763b26d879e9d556083b0d375e1a6384d65415c79d9bbf7a33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yoneya, Tamiaki</creatorcontrib><collection>Oxford Journals Open Access Collection</collection><collection>CrossRef</collection><jtitle>Progress of theoretical and experimental physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yoneya, Tamiaki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Canonical Nambu mechanics: Relevance to string/M-theory and approaches to quantization</atitle><jtitle>Progress of theoretical and experimental physics</jtitle><date>2021-12-01</date><risdate>2021</risdate><volume>2021</volume><issue>12</issue><issn>2050-3911</issn><eissn>2050-3911</eissn><abstract>Abstract
We review some aspects of Nambu mechanics on the basis of works previously published separately by the present author. The main focuses are on three themes: the various symmetry structures, their possible relevance to string/M-theory, and a Hamilton–Jacobi-like reformulation. We try to elucidate the basic ideas, most of which were rooted in more or less the same ground, and to explain the motivations behind these works from a unified and vantage viewpoint. Various unsolved questions are mentioned. We also include a historical account of the genesis of Nambu mechanics, and discuss (in the appendix) some parallelism of various ideas behind Nambu’s paper with Dirac’s old works which are related to the description of vortical flows in terms of gauge potentials.</abstract><pub>Oxford University Press</pub><doi>10.1093/ptep/ptab050</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | Progress of theoretical and experimental physics, 2021-12, Vol.2021 (12) |
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| source | Oxford Journals Open Access Collection; DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | Canonical Nambu mechanics: Relevance to string/M-theory and approaches to quantization |
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