We show that the Feynman rules in the covariant α gauge, the Coulomb gauge, and the axial gauge, in the generally adopted form derived via the Faddeev-Popov formalism, are inconsistent with one another. We suggest that they be replaced by the canonically derived ones, which are consistent. In particular, the Feynman rules in the Coulomb gauge contain the contribution of the anomalous Coulomb interaction, and the Feynman rules in the axial gauge with the principal-value prescription contain the contribution of ghost loops.
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Cheng et al. (1986) studied this question.
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