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The manifestly gauge invariant Exact Renormalisation Group provides aframework for performing continuum computations in SU(N) Yang-Mills theory,without fixing the gauge. We use this formalism to compute the two-loop betafunction in a manifestly gauge invariant way, and without specifying thedetails of the regularisation scheme.Comment: 69 pages, 29 figures. v2: published in prd; methodology refined,  typos correcte

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Manifestly gauge invariant, continuum calculation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>Yang-Mills two-loop<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>function

Manifestly gauge invariant, continuum calculation of theSU(N)Yang-Mills two-loopβfunction