The Renormalization Group, Systems of Units and the Hierarchy Problem

Details The Renormalization Group, Systems of Units and the Hierarchy Problem The Renormalization Group, Systems of Units and the Hierarchy Problem

2004-09-20

arxiv.org/abs/hep-th/0409199v3

J.Phys.A40:4895-4914,2007

Physics

High Energy Physics

High Energy Physics - Theory

Plain TEX, 16 pages. Some revisions, some references added

Scientific paper

10.1088/1751-8113/40/18/014

In the context of the Renormalization Group (RG) for gravity I discuss the role of field rescalings and their relation to choices of units. I concentrate on a simple Higgs model coupled to gravity, where natural choices of units can be based on Newton's constant or on the Higgs mass. These quantities are not invariant under the RG, and the ratio between the units is scale-dependent. In the toy model, strong RG running occurs in the intermediate regime between the Higgs and the Planck scale, reproducing the results of the Randall-Sundrum I model. Possible connections with the problem of the mass hierarchy are pointed out.

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