Manifestly Gauge Invariant QCD
High Energy Physics - Theory
2008-11-26 v1 High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.hep-th/0606189,
title = {Manifestly Gauge Invariant QCD},
author = {Tim R. Morris and Oliver J. Rosten},
journal= {arXiv preprint arXiv:hep-th/0606189},
year = {2008}
}
Comments
30 pages, 6 figures