A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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33 pages, 34 figures; v2: published in jphysa, intro extended, refs added, minor refinements, formatting changed

Scientific paper

10.1088/0305-4470/39/27/010

It has recently been determined that, within the framework of the Exact Renormalisation Group, continuum computations can be performed to any loop order in SU(N) Yang-Mills theory without fixing the gauge or specifying the details of the regularisation scheme. In this paper, we summarise and refine the powerful diagrammatic techniques which facilitate this procedure and illustrate their application in the context of a calculation of the two-loop beta function.

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