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- W2010448685 abstract "Consequences of the local commutation relations of vector and axial currents proposed by Gell-Mann are explored: (1) A recipe for detecting and isolating Schwinger terms in the commutators, proportional to derivatives of the $ensuremath{delta}$ function, is discussed. (2) Under assumptions of smooth asymptotic behavior of form factors for forward scattering of the isovector current from a proton, we show that the $U(3)ensuremath{bigotimes}U(3)$ algebra for the time components of the currents implies the $U(6)ensuremath{bigotimes}U(6)$ algebra for space components, at least for spin-averaged diagonal single-particle states. (3) The derivation of the Adler-Weisberger formula for $frac{{G}_{A}}{{G}_{V}}$ is sharpened by giving arguments that, at fixed energy, the forward $ensuremath{pi}ensuremath{-}p$ Green's function satisfies an unsubtracted dispersion relation in the pion mass. (4) A lower bound for inelastic electron-nucleon scattering at high momentum transfer is derived on the basis of $U(6)ensuremath{bigotimes}U(6)$. (5) The contribution of very virtual photons to the hyperfine anomaly in hydrogen is shown to be related to an equal-time commutator of currents; this contribution is crudely estimated to be 4 parts per million (ppm). (6) The logarithmically divergent part of electromagnetic mass differences of hadrons is shown to be proportional to matrix elements of the equal-time commutator of the electromagnetic current with its time derivative. It is suggested that this divergent part be identified with the Coleman-Glashow tadpoles; this suggestion is discussed in the framework of a simple quark model. (7) The logarithmically divergent part of the electromagnetic correction to the process ${ensuremath{pi}}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{pi}}^{0}+{e}^{ensuremath{-}}+overline{ensuremath{nu}}$ is, on the basis of the $U(6)ensuremath{bigotimes}U(6)$ current algebra, shown to be nonvanishing, and is computed. (8) A speculative argument is presented that the rate ${e}^{+}+{e}^{ensuremath{-}}ensuremath{rightarrow}mathrm{hadrons}$ is comparable to the rate ${e}^{+}+{e}^{ensuremath{-}}ensuremath{rightarrow}{ensuremath{mu}}^{+}+{ensuremath{mu}}^{ensuremath{-}}$ in the limit of large energies." @default.
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- W2010448685 title "Applications of the Chiral<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>6</mml:mn><mml:mo>)</mml:mo><mml:mn /><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>6</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>Algebra of Current Densities" @default.
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- W2010448685 doi "https://doi.org/10.1103/physrev.148.1467" @default.
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