Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-19
Fields Inst.Commun.50:1,2007
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 14 figures, Fields Inst style file; Talk presented by TRM at RG2005, Helsinki, Finland, September 2005 and Renormali
Scientific paper
We construct a manifestly gauge invariant Exact Renormalization Group for SU(N) Yang-Mills theory, in a form suitable for calculations without gauge fixing at any order of perturbation theory. The effective cutoff is incorporated via a manifestly realised spontaneously broken SU(N|N) gauge invariance. Diagrammatic methods are developed which allow the calculations to proceed without specifying the precise form of the cutoff structure. We confirm consistency by computing for the first time both the one and two loop beta function coefficients without fixing the gauge or specifying the details of the cutoff. We sketch how to incorporate quarks and thus compute in QCD. Finally we analyse the renormalization group behaviour as the renormalized coupling becomes large, and show that confinement is a consequence if and only if the coupling diverges in the limit that all modes are integrated out. We also investigate an expansion in the inverse square renormalized coupling, and show that under general assumptions it yields a new non-perturbative approximation scheme corresponding to expanding in 1/\Lambda_{QCD}.
Arnone Stefano
Morris Tim R.
Rosten Oliver J.
No associations
LandOfFree
Manifestly Gauge Invariant Exact Renormalization Group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Manifestly Gauge Invariant Exact Renormalization Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Manifestly Gauge Invariant Exact Renormalization Group will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-40118