A Manifestly Gauge Invariant, Continuum Calculation of the SU(N) Yang-Mills two-loop beta function

Abstract

The manifestly gauge invariant Exact Renormalisation Group provides a framework for performing continuum computations in SU(N) Yang-Mills theory, without fixing the gauge. We use this formalism to compute the two-loop beta function in a manifestly gauge invariant way, and without specifying the details of the regularisation scheme.

Comments: 69 pages, 29 figures. v2: published in prd; methodology refined, typos corrected