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arXiv · hep-th/0606189

Manifestly Gauge Invariant QCD

Tim R. Morris·Oliver J. Rosten
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Abstract

Building on recent work in SU(N) Yang-Mills theory, we construct a manifestly gauge invariant exact renormalization group for QCD. A gauge invariant cutoff is constructed by embedding the physical gauge theory in a spontaneously broken SU(N|N) gauge theory, regularized by covariant higher derivatives. Intriguingly, the construction is most efficient if the number of flavours is a multiple of the number of colours. The formalism is illustrated with a very compact calculation of the one-loop beta function, achieving a manifestly universal result and without fixing the gauge.

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Tim R. Morris, Oliver J. Rosten. 2006-06-20. Manifestly Gauge Invariant QCD. https://doi.org/10.1088/0305-4470%2F39%2F37%2F020

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