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Current-Generated Algebras

Gell-Mann, Murray and Ne'eman, Yuval (1964) Current-Generated Algebras. Annals of Physics, 30 (2). pp. 360-369. ISSN 0003-4916. https://resolver.caltech.edu/CaltechAUTHORS:20150918-152634869

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Abstract

We assume that a component of the F-spin current is utilized as part or all of the vector weak current for strongly interacting particles. Likewise we assume that the same component of an axial vector current octet is part or all of the axial vector weak current. The space integrals of the time components of these two octets then generate, by repeated equal time commutation relations, some algebra. We describe the classification of these possible algebras and give some examples. The algebra SU(3) × SU(3) proposed earlier is not only the smallest of these possible candidates. It is also uniquely selected if the two octets exhaust the whole weak current of strongly interacting particles and if that current has the same algebraic properties as the weak current of the known leptons, in accord with the principle of universality of weak interactions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0003-4916(64)90122-8DOIArticle
http://www.sciencedirect.com/science/article/pii/0003491664901228PublisherArticle
Additional Information:© 1964 Elsevier. . Work supported in part by the U. S. Atomic Energy Commission. On leave of absence from Tel Aviv University and the Israel Atomic Energy Commission.
Funders:
Funding AgencyGrant Number
Atomic Energy CommissionUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20150918-152634869
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150918-152634869
Official Citation:Current-generated algebras Murray Gell-Mann, Yuval Ne'eman Annals of Physics Volume 30, Issue 2, November 1964, Pages 360-369
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60351
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:18 Sep 2015 23:25
Last Modified:03 Oct 2019 08:56

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