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Hard-Meson Current Algebra and the Breakdown of Partial Conservation of Axial-Vector Current

M. G. Miller*

  • Department of Physics, Northeastern University, Boston, Massachusetts 02115

  • *NDEA Graduate Fellow. Research was in partial fulfillment of the requirements for the Ph.D. degree in physics at Northeastern University, Boston, Mass.

Phys. Rev. D 4, 757 – Published 1 August, 1971Erratum Phys. Rev. D 5, 783 (1972)

DOI: https://doi.org/10.1103/PhysRevD.4.757

Abstract

The Arnowitt-Friedman-Nath model of PCAC (partially conserved axial-vector current) breakdown which permits the two-body photon decays of π0, η, and vector mesons is extended to the η meson and to higher order. The model is required to satisfy a set of conditions, the most important of which is that it be consistent with SU(3)×SU(3) hard-meson current algebra. It is shown that if PCAC is no longer pole-dominated, then the general σ commutator, [Aa0,μAbμ], cannot be pole-dominated either. In addition, the variation of the Lagrangian under chiral transformations will no longer be proportional to the divergence of the current. The model is used to calculate decay widths for the processes ηρ0+γ, η2γ, ω3π, ϕ3π, and η2π+γ with good success.

Erratum

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