Abstract

A unified formulation of quantum electrodynamics in the generalized Lorentz gauge (including, for example, the Feynman, Landau and Yennie gauges) is presented. The formulation is shown to be consistent with the appropriate commutation relations and propagators in the various gauges. All the gauge descriptions are shown to lead to Maxwell’s equations in the Lorentz gauge provided that expectation values of the electric and magnetic field intensities are taken over physically admissible states. It is shown that when the subsidiary condition is properly treated for the case of interacting photons and charged particles, the various gauge descriptions have the same physical content and electron wave function renormalization constants as the Coulomb gauge

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