Gauge invariant regularisation via SU(N|N)

Details Gauge invariant regularisation via SU(N|N) Gauge invariant regularisation via SU(N|N)

2001-06-27

arxiv.org/abs/hep-th/0106258v2

Int.J.Mod.Phys. A17 (2002) 2283-2330

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 43 pages, extended to explain ERG context, preregularisation and why it is unecessary in less than 4 dimensions or at i

Scientific paper

10.1142/S0217751X02009722

We construct a gauge invariant regularisation scheme for pure SU(N) Yang-Mills theory in fixed dimension four or less (for N = infinity in all dimensions), with a physical cutoff scale Lambda, by using covariant higher derivatives and spontaneously broken SU(N|N) supergauge invariance. Providing their powers are within certain ranges, the covariant higher derivatives cure the superficial divergence of all but a set of one-loop graphs. The finiteness of these latter graphs is ensured by properties of the supergroup and gauge invariance. In the limit Lambda tends to infinity, all the regulator fields decouple and unitarity is recovered in the renormalized pure SU(N) Yang-Mills theory. By demonstrating these properties, we prove that the regularisation works to all orders in perturbation theory.

Affiliated with

Also associated with

No associations

Rating

Gauge invariant regularisation via SU(N|N) 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 Gauge invariant regularisation via SU(N|N), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge invariant regularisation via SU(N|N) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406588