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Showing papers on "Chiral anomaly published in 1970"



Journal ArticleDOI
TL;DR: In this article, the problems associated with η-X mixing and η → 3 π in a chiral lagrangian framework, assuming a basic (3, 3 ) + 3, 3 + 3, 3 ) symmetry breaking of SU(3) × SU (3) and that ΔI = 1 electromagnetic processes are dominantly described by an effective u 3 type interaction, are reviewed.

61 citations



Journal ArticleDOI
TL;DR: By considering the transformation properties of Schwinger terms under the action of chiral SU3 × SU3, a natural form of symmetry breaking for current theories is proposed and found to have reasonable properties.

25 citations


Journal ArticleDOI
Jonathan Richard Ellis1
TL;DR: In this paper, the absence of a q -number δ term in the hadronic energy momentum density was shown to be compatible with the meson baryon scattering analysis of von Hippel and Kim.

13 citations




Journal ArticleDOI
TL;DR: Weinberg's algebraic treatment of chiral symmetry is applied to chiral SU(3) × SU (3) as discussed by the authors, and the meson mass spectrum is obtained for the limit of exact symmetry.

8 citations







Journal ArticleDOI
TL;DR: In this paper, the authors examined two chiral Lagrangians with broken SU(3) × SU( 3) symmetry, a natural one that does not give PCAC for η-mesons, and a modified one which does.


Journal ArticleDOI
TL;DR: In this article, two low-energy theorems on the K l3 form factors and their mass-extrapolation were compared and the dependence on the parameter c, measuring the strength of the SU(3) breaking relative to the SU (2)⊗SU(2) breaking was discussed.



Journal ArticleDOI
TL;DR: In this article, it was shown that the extension to the pseudoscalar multiplet forces one to include the whole nonet and the resulting amplitudes coincide with those obtained from an U(3)-ensuremath{\bigotimes}U(3)$ model with the chiral symmetry broken in a way that preserves the complete nonet degeneracy.
Abstract: Certain algebraic aspects present in the dual resonance models led Susskind and Frye to the construction of $n$-point pion amplitudes in the tree-graph approximation which are a sum of terms, each one coming from a distinct permutation and satisfying the Adler's condition separately. It was also shown that this line of reasoning picks up a definite form of chiral symmetry breaking (in $\mathrm{SU}2\ensuremath{\bigotimes}\mathrm{SU}2$). In this work we show that the extension to the pseudoscalar multiplet forces one to include the whole nonet. The resulting amplitudes coincide with those obtained from an $U(3)\ensuremath{\bigotimes}U(3)$ model with the chiral symmetry broken in a way that preserves the complete nonet degeneracy.




Book ChapterDOI
01 Jan 1970
TL;DR: Most discussions of chiral symmetry start with rather sophisticated theoretical concepts, like current algebra, non-linear group realizations, an unsymmetric vacuum state, Goldstone bosons etc., and only at the end is the formalism put to use to obtain verifiable tests as mentioned in this paper.
Abstract: Most discussions of chiral symmetry start with rather sophisticated theoretical concepts, like current algebra, non-linear group realizations, an unsymmetric vacuum state, Goldstone bosons etc., and only at the end is the formalism put to use to obtain verifiable tests. This approach allows the display of mathematical elegance, but it may not be too helpful in motivating in what way these concepts are actually needed to describe the empirical facts.




Journal ArticleDOI
TL;DR: In this article, it is proposed that spontaneously broken symmetry is recovered in the high energy limit, where the symmetry can be spontaneously broken in the limit of the energy consumption of the system.
Abstract: SummaryIt is proposed that a spontaneously broken symmetry is recovered in the high-energy limit.RiassuntoSi fa l'ipotesi che una simmetria spontaneamente rotta sia ritrovata nel limite di alta energia.РезюмеПредполагается, что спонтанно нарушенная симметрия восста-навливается в пределе высоких эн]yeргий.