Generalized Coordinate Gauge and Nonabelian Stokes Theorem

Abstract

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 $k_{\mu }(x)A_{\mu }(x)=0$ where $k_{\mu }(x)$ 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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