Hierarchy problem revisited from the Wilsonian Renormalization Group

Details Hierarchy problem revisited from the Wilsonian Renormalization Group Hierarchy problem revisited from the Wilsonian Renormalization Group

2012-01-04

arxiv.org/abs/1201.0857v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 5 figures

Scientific paper

We revisit the problem of quadratic divergences in field theories from the viewpoint of the Wilsonian renormalization group (RG). The quadratic divergences can be absorbed into a position of the critical surface in the theory space, while the scaling properties of RG flows around the critical surface are determined only by the logarithmic divergences. The fine-tuning problem of a bare mass of a scalar field is now reduced to the problem of how we tune the mass parameter close to the critical surface. It has nothing to do with the position of the critical surface itself, and hence nothing with the quadratic divergences. We also consider a theory with multiple scalar fields. In this case mixings of relevant operators, i.e., mass parameters, due to the logarithmic divergences are generically inevitable and, unlike the quadratic divergences, large radiative corrections by the mixings cannot be simply subtracted.

Affiliated with

Also associated with

No associations

Rating

Hierarchy problem revisited from the Wilsonian 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 Hierarchy problem revisited from the Wilsonian Renormalization Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchy problem revisited from the Wilsonian Renormalization Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156338