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Radiative properties of the Stueckelberg mechanism. (English) Zbl 1153.81548

Summary: We examine the mechanism for generating a mass for a U(1) vector field introduced by Stueckelberg. First, it is shown that renormalization of the vector mass is identical to the renormalization of the vector field on account of gauge invariance. We then consider how the vector mass affects the effective potential in scalar quantum electrodynamics at one-loop order. The possibility of extending this mechanism to couple, in a gauge invariant way, a charged vector field to the photon is discussed.

MSC:

81V22 Unified quantum theories
81T05 Axiomatic quantum field theory; operator algebras
81T15 Perturbative methods of renormalization applied to problems in quantum field theory

References:

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