ELECTRON SELF-ENERGY IN PSEUDO-HERMITIAN QUANTUM ELECTRODYNAMICS WITH A MAXIMAL MASS M

The electron self-energy (self-mass) is calculated on the basis of the model of quantum field theory with maximal mass M, developed by V. G. Kadyshevsky et al. within the pseudo-Hermitian quantum electrodynamics in the second order of the perturbation theory. In theory, there is the natural cut-off of large transmitted momentum in intermediate states because of presence of the universal mass M. As a result, the electron self-mass is finite and depends on the transmitted maximum momentum k(max) = AMf(p), (M/m >> 1, A << M/m, f(p) << M/m). Two interpretations of the obtained results are possible at defined M and A. The first interpretation allows confirming quantitatively the old concept of elementary particle mass sources defined by interaction of particles with self-gauge fields. The second interpretation results in the possibility not to renormalize the mass (at least in the second order of perturbation theory) owing to the zero mass operator Sigma(p).