The Wilson Loop in Yang-Mills Theory in the General Axial Gauge

Details The Wilson Loop in Yang-Mills Theory in the General Axial Gauge The Wilson Loop in Yang-Mills Theory in the General Axial Gauge

1995-11-20

arxiv.org/abs/hep-th/9511140v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures

Scientific paper

We test the unified-gauge formalism by computing a Wilson loop in Yang-Mills theory to one-loop order. The unified-gauge formalism is characterized by the abritrary, but fixed, four-vector $N_\mu$, which collectively represents the light-cone gauge $(N^2 = 0)$, the temporal gauge $(N^2 > 0)$, the pure axial gauge $(N^2 < 0)$ and the planar gauge $(N^2 < 0)$. A novel feature of the calculation is the use of distinct sets of vectors, $\{ n_{\mu}, n_{\mu}^{\ast} \}$ and $\{N_{\mu}, N_{\mu}^{\ast}\}$, for the path and for the gauge-fixing constraint, respectively. The answer for the Wilson loop is independent of $N_{\mu}$, and agrees numerically with the result obtained in the Feymman gauge.

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