The observed total weak-interaction current ${{\mathcal{I}}_{\mu }}^{\mathrm{wk}}\mathrm{}\left(x\right)\mathrm{}$ and the observed total electromagnetic current ${{\mathcal{I}}_{\mu }}^{\gamma }\mathrm{}\left(x\right)\mathrm{}$ are assumed to be, respectively, the same local operators, apart from constant multiplicative factors, as the hypothetical charged intermediate boson field $W_{\mu }\mathrm{}\left(x\right)\mathrm{}$ and the corresponding neutral intermediate boson field ${W_{\mu }}^0\mathrm{}\left(x\right)\mathrm{}$. The field algebra satisfied by these current operators is discussed. It is shown that, neglecting higher-order weak-interaction effects, one can obtain finite higher-order electromagnetic corrections for the known hadrons and leptons, such as the electromagnetic mass shifts of $p$, $\pi$, $e$, $\mu$, etc., and the radiative corrections to the weak decays of these particles.

• Received 4 December 1967

DOI:https://doi.org/10.1103/PhysRev.168.1714