Generalized Coordinate Gauge and Nonabelian Stokes Theorem

V. I. Shevchenko; Yu. A. Simonov

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arXiv · hep-th/9802134

Generalized Coordinate Gauge and Nonabelian Stokes Theorem

V. I. Shevchenko·Yu. A. Simonov

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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_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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V. I. Shevchenko, Yu. A. Simonov. 1998-03-16. Generalized Coordinate Gauge and Nonabelian Stokes Theorem. https://arxiv.org/abs/hep-th/9802134

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