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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. doi:10.1016/0003-4916(64)90122-8.

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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.

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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.
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Atomic Energy CommissionUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20150918-152634869
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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
Deposited By: Ruth Sustaita
Deposited On:18 Sep 2015 23:25
Last Modified:10 Nov 2021 22:33

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