Radiative Properties of the Stueckelberg Mechanism
T. J. Marshall, D. G. C. McKeon
TL;DR
This paper analyzes the Stueckelberg mechanism for giving mass to a U(1) gauge field, focusing on renormalization and implications for scalar QED, and discusses extending the mechanism to charged vector fields.
Contribution
It demonstrates the renormalization equivalence of the vector mass and field, and explores extending the mechanism to charged vector fields in a gauge-invariant manner.
Findings
Renormalization of the vector mass equals that of the vector field.
The vector mass influences the effective potential in scalar QED.
Discussion on gauge-invariant coupling of charged vector fields to photons.
Abstract
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.
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