Solving the Hierarchy Problem with Exponentially Large Dimensions

Details Solving the Hierarchy Problem with Exponentially Large Dimensions Solving the Hierarchy Problem with Exponentially Large Dimensions

1999-12-21

arxiv.org/abs/hep-ph/9912453v2

Phys.Rev.D62:105002,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 7 figures, corrected typos

Scientific paper

10.1103/PhysRevD.62.105002

In theories with (sets of) two large extra dimensions and supersymmetry in the bulk, the presence of non-supersymmetric brane defects naturally induces a logarithmic potential for the volume of the transverse dimensions. Since the logarithm of the volume rather than the volume itself is the natural variable, parameters of O(10) in the potential can generate an exponentially large size for the extra dimensions. This provides a true solution to the hierarchy problem, on the same footing as technicolor or dynamical supersymmetry breaking. The area moduli have a Compton wavelength of about a millimeter and mediate Yukawa interactions with gravitational strength. We present a simple explicit example of this idea which generates two exponentially large dimensions. In this model, the area modulus mass is in the millimeter range even for six dimensional Planck scales as high as 100 TeV.

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