Manifestly Gauge Invariant QCD

Details Manifestly Gauge Invariant QCD Manifestly Gauge Invariant QCD

2006-06-20

arxiv.org/abs/hep-th/0606189v1

J.Phys.A39:11657-11681,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 6 figures

Scientific paper

10.1088/0305-4470/39/37/020

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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