Abstract

We assume that the structure functions V 1, V 2 scale and do not contain fixed poles at integer values of α = 0, 1, 2, …. This leads to a logarithmically divergent self-energy. We include a tadpole term in the Lagrangian. The divergent part of the self-energy is absorbed in a renormalization of the tadpole coupling constant. Using the available data we then carefully evaluate low- and high-energy contributions to the electromagnetic mass shift of the nucleons. The conclusions agree with the tadpole model of Coleman and Glashow. In the quark-model language our result corresponds to the values m u ≅ 4 MeV, m d ≅ 6 MeV and m s ≅ 135 MeV for the masses of up, down and strange quarks, respectively.

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