The one-loop renormalizability of both the two-component (LC2) and four-component (LC4) formulations of the light-cone gauge is demonstrated by construction of the complete one-loop counter Lagrangeans. The Mandelstam-Leibbrandt prescription is used to regularize the singular 1p⁺ factor. In LC4, the one-loop self-energy and three-vertex both have anomalous, unrenormalizable ultraviolet divergences, but the counterterms associated with these divergences cancel exactly, rendering the total counter Lagrangeans for the two formulations identical, at least to O(g³).
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Lee et al. (1985) studied this question.