The continuity of the gauge fixing condition n⋅ ∂n⋅A= 0

Abstract

The continuity of the gauge fixing condition n · ∂n · A = 0 for SU (2) gauge theory on the manifold R S 1 S 1 S 1 is studied here, where n µ stands for directional vector along xi-axis(i = 1, 2, 3). It is proved that the gauge fixing condition is continuous given that gauge potentials are differentiable with continuous derivatives on the manifold R S 1 S 1 S 1 which is compact.