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Discontinuity of gauge theory in the gauge condition $n\cdot\partial n\cdotA=0$, which emerges at $n\cdot k=0$, is studied here. Such discontinuity isdifferent from that one confronts in axial gauge and can not be regularized byconventional analytical continuation method. The Faddeev-Popov determinate ofthe gauge $n\cdot\partial n\cdot A=0$, which is solved explicitly in themanuscript, behaves like a $\delta$-functional of gauge potentials oncesingularities in the functional integral is neglected and the length along$n^{\mu}$ direction of the space tends to infinity. As a sequence, perturbationseries in the gauge $n\cdot\partial n\cdot A=0$ returns to that in axial gaugefor short-range correlated objects that are free from singularities in pathintegral. However, the equivalence between the gauge $n\cdot\partial n\cdotA=0$ and axil gauge is nontrivial for long-range correlated objects andquantities that are affected by singularities in path integral. Continuity ofgauge links one encounter in perturbation theory and lattice calculation isaffected by such discontinuity.

Equivalence Between the Gauge $n\cdot\partial n\cdot A=0$ and the Axial Gauge