Abstract
A quantized non-conserved four-component field theory is constructed in view to identify the axial currents with fields of this kind. The identification of non-strange vector and axial vector currents is done with the usual ϱ and A 1 fields, while the strangeness carrying currents are assummed to be dominated by two vector or axial vector particles. A new sum rule relating the K decay amplitude to the decay amplitudes (assumed to be the same) and the masses of the two strange axial vector particles is derived. The ratios F K /F π and F K ∗ /F ϱ are deduced and their values are found to be in good agreement with experiment. The second Weinberg sum rule for SU(2) ⊗ SU(2) is seen to be valid for non-strange isomultiplets and violated by an amount of about 15% for the strange ones.
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