Perturbational calculations in the gauge theory of elementary particles
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The principal purpose of this thesis was to calculate certain mass differences of elementary particles in second order perturbation theory, within the framework of a gauge invariant theory of interactions. First we calculated the mass difference of the electron and the muon on the assumption that they have same bare mass and have different physical masses as a result of their interaction with a neutral vector meson field whose quantum is the phi meson. The previous attempts in this direction treated the muon and the electron unsymmetrically, which caused the ratio of the pion decay into (electron + electronic neutrino) to the pion decay into (muon + muonic neutrino) to have a value not permitted by the accuracy of the experimental results. Those calculations predicted also the value of the anomalous magnetic moment of the muon much higher than the experimental value. Our calculation, on the other hand, not only gives the mass difference of the muon and the electron in agreement with their experimental value but also does not run into any difficulty faced by the previous calculations. Secondly, generalizing the meaning of the electromagnetic interaction, we calculated the mass differences of the different members of every charge multiplet of the strongly interacting particles. Only with two adjustable parameters we have been able to predict the mass differences of the seven pairs of particles. Finally, we speculated on the origin of the masses of the phi and rho mesons. Using the coupling constants previously introduced, we calculated their masses in agreement with the experimental masses. We used the same cut-off parameter as was assumed for the electromagnetic mass splitting.
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