Scale without Conformal Invariance at Three Loops

Details Scale without Conformal Invariance at Three Loops Scale without Conformal Invariance at Three Loops

2012-02-21

arxiv.org/abs/1202.4757v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 2 figures

Scientific paper

We carry out a three-loop computation that establishes the existence of scale without conformal invariance in dimensional regularization with the MS scheme in d=4-epsilon spacetime dimensions. We also comment on the effects of scheme changes in theories with many couplings, as well as in theories that live on non-conformal scale-invariant renormalization group trajectories. Stability properties of such trajectories are analyzed, revealing both attractive and repulsive directions in a specific example. We explain how our results are in accord with those of Jack & Osborn on a c-theorem in d=4 (and d=4-epsilon) dimensions. Finally, we point out that limit cycles with turning points are unlike limit cycles with continuous scale invariance.

Affiliated with

Also associated with

No associations

Rating

Scale without Conformal Invariance at Three Loops 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 Scale without Conformal Invariance at Three Loops, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scale without Conformal Invariance at Three Loops will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-413416