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

1995/11/20 by Brian J. Hand, Hand, Brian J., George Leibbrandt +1
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9511140

12 pages, 2 figures

arxiv created 1995/11/20 · openalex publication_date 1995/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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_μ, which collectively represents the light-cone gauge (N² = 0), the temporal gauge (N² > 0), the pure axial gauge (N² < 0) and the planar gauge (N² < 0). A novel feature of the calculation is the use of distinct sets of vectors, \ n_μ, n_μ^∗ \ and \N_μ, N_μ^∗\, for the path and for the gauge-fixing constraint, respectively. The answer for the Wilson loop is independent of N_μ, and agrees numerically with the result obtained in the Feymman gauge.

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