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The Wilson loop in Yang-Mills theory in the general axial gauge

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...

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Detalles Bibliográficos
Autores principales: Hand, Brian J., Leibbrandt, George
Lenguaje:eng
Publicado: 1995
Materias:
Acceso en línea:http://cds.cern.ch/record/291533
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author Hand, Brian J.
Leibbrandt, George
author_facet Hand, Brian J.
Leibbrandt, George
author_sort Hand, Brian J.
collection CERN
description 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.
id cern-291533
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
record_format invenio
spelling cern-2915332023-03-14T16:34:52Zhttp://cds.cern.ch/record/291533engHand, Brian J.Leibbrandt, GeorgeThe Wilson loop in Yang-Mills theory in the general axial gaugeParticle Physics - TheoryWe 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.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.hep-th/9511140CERN-TH-95-227CERN-TH-95-227oai:cds.cern.ch:2915331995
spellingShingle Particle Physics - Theory
Hand, Brian J.
Leibbrandt, George
The Wilson loop in Yang-Mills theory in the general axial gauge
title The Wilson loop in Yang-Mills theory in the general axial gauge
title_full The Wilson loop in Yang-Mills theory in the general axial gauge
title_fullStr The Wilson loop in Yang-Mills theory in the general axial gauge
title_full_unstemmed The Wilson loop in Yang-Mills theory in the general axial gauge
title_short The Wilson loop in Yang-Mills theory in the general axial gauge
title_sort wilson loop in yang-mills theory in the general axial gauge
topic Particle Physics - Theory
url http://cds.cern.ch/record/291533
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AT leibbrandtgeorge thewilsonloopinyangmillstheoryinthegeneralaxialgauge
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