The effective potential is computed to order in an Abelian gauge theory---scalar electrodynamics. The calculation is performed first in the ghost-requiring R_ξ gauges. The corresponding expression is also derived from the unitary Lagrangian. We discuss the gauge dependence of the effective potential and its minima in connection with spontaneous symmetry breakdown; and we interpret the unitary computation to be the physically relevant one.
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Dolan et al. (1974) studied this question.
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