Gauge-Field Algebra, Soft-Meson Methods, and Divergences

Abstract

Using Bjorken's methods in the context of the recently proposed gauge-field algebra of currents, we discuss the problem of divergences in electromagnetic mass differences (${m_{{\pi }^{+}}}^2-{m_{{\pi }^0}}^2$, ${m_{K^{+}}}^2-{m_{K^0}}^2$) and decays, weak decays (e.g., ${K_1}^0\to 2\pi$), and asymptotic behavior of electromagnetic processes.