Hard-Kaon Processes and the Spectral-Function Sum Rules

Constructing the Ward-like identities for the currents of chiral $\mathrm{SU}\left(3\right)\mathrm{}\times \mathrm{SU}\left(3\right)\mathrm{}$ and expressing these in terms of Weinberg's spectral functions, we carry out current-algebra-type calculations without taking the zero-mass limit. As applications, $K_A$ decay, $K^{*}\to K+\pi$ decay, $\phi \to K+\overline{K}$ decay, and $K_{e3\mathrm{}}$ form factors are discussed and compared with the available experiments. The $\phi$ decay is calculated without using the conventional $\omega -\phi$ mixing theory.