Generalized Coordinate Gauge and Nonabelian Stokes Theorem

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A contour gauge of general type is analysed where 1-form (vector potential) is expressed as a contour integral of the 2-form (field strength) along an arbitrary contour $C$. For a special class of contours the gauge condition reduces to $k_μ(x) A_μ(x) = 0 $ where $k_μ(x)$ is a tangent vector to the contour $C$. A simple proof of the nonabelian Stokes theorem is given demonstrating the advantage of the gauge.
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