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Current algebra
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==History== The original current algebra, proposed in 1964 by [[Murray Gell-Mann]], described weak and electromagnetic currents of the strongly interacting particles, [[hadrons]], leading to the '''Adler–Weisberger formula''' and other important physical results. The basic concept, in the era just preceding [[quantum chromodynamics]], was that even without knowing the Lagrangian governing hadron dynamics in detail, exact kinematical information – the local symmetry – could still be encoded in an algebra of currents.<ref>{{harvnb|Gell-Mann|Ne'eman|1964}}</ref> The commutators involved in current algebra amount to an infinite-dimensional extension of the [[Jordan map]], where the quantum fields represent infinite arrays of oscillators. Current algebraic techniques are still part of the shared background of particle physics when analyzing symmetries and indispensable in discussions of the [[Goldstone boson|Goldstone theorem]].
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