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 (${{m}_{{\ensuremath{\pi}}^{+}}}^{2}\ensuremath{-}{{m}_{{\ensuremath{\pi}}^{0}}}^{2}$, ${{m}_{{K}^{+}}}^{2}\ensuremath{-}{{m}_{{K}^{0}}}^{2}$) and decays, weak decays (e.g., ${{K}_{1}}^{0}\ensuremath{\rightarrow}2\ensuremath{\pi}$), and asymptotic behavior of electromagnetic processes.