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Algebra of Currents
Author(s) -
Maiani L.,
Preparata G.
Publication year - 1969
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19690170802
Subject(s) - current algebra , covariant transformation , physics , meson , pion , algebra over a field , current (fluid) , particle physics , gauge theory , theoretical physics , mathematical physics , mathematics , pure mathematics , thermodynamics
This is a review paper on the most important results obtained from the Algebra of Currents introduced by Gell‐Mann. It includes a detailed discussion on the derivation of sum rules (Adler‐Weisberger, Cabibbo‐Radicati, etc.), either with the p → ∞ method and with the covariant method. Theorems for the emission of zero energy pions are discussed, and applied to leptonic and non leptonic decays of K mesons, and to the 3π decay of the η meson. More recent developments of current algebra like the gauge fields current algebra, the Weinberg sum rules, and the applications of the Bjorken's method to weak and e.m. interactions are also discussed.