[SLAC] [SLAC Pubs and Reports]
Stabilization of Sub-Millimeter Dimensions: The New Guise of the Hierarchy Problem
AbstractA new framework for solving the hierarchy problem was recently proposed which does not rely on low energy supersymmetry or technicolor. The fundamental Planck mass is at a TeV and the observed weakness of gravity at long distances is due the existence of new sub-millimeter spatial dimensions. In this picture the standard model fields are localized to a (3 + 1)-dimensional wall or "3-brane". The hierarchy problem becomes isomorphic to the problem of the largeness of the extra dimensions. This is in turn inextricably linked to the cosmological constant problem, suggesting the possibility of a common solution. The radii of the extra dimensions must be prevented from both expanding to too great a size, and collapsing to the fundamental Planck length TeV-1. In this paper we propose a number of mechanisms addressing this question. We argue that a positive bulk cosmological constant anti-Lambda can stabilize the internal manifold against expansion, and that the value of anti-Lambda is not unstable to radiative corrections provided that the supersymmetries of string theory are broken by dynamics on our 3-brane. We further argue that the extra dimensions can be stabilized against collapse in a phenomenologically successful way by either of two methods: 1) Large, topologically conserved quantum numbers associated with higher-form bulk U(1) gauge fields, such as the naturally occurring Ramond-Ramond gauge fields, or the winding number of bulk scalar fields. 2) The brane-lattice-crystallization of a large number of 3-branes in the bulk. These mechanisms are consistent with theoretical, laboratory, and cosmological considerations such as the absence of large time variations in Newton's constant during and after primordial nucleosynthesis, and millimeter-scale tests of gravity.
- slac-pub-7949 (304 KB)
- slac-pub-7949 (92.5 KB)
Alternate download methods: old, ancient*
*download methods - technical info
- slac-pub-7949 (5.28 KB)
NotesThe PDF version of this document was distilled from a PostScript file most likely created from LaTeX source which used Type 3 fonts. The resultant PDF may be unreadable on the screen at the default viewing magnification (fonts will appear bitmapped, jagged), though the type will be legible at higher magnifications.
Despite the cosmetic problems resulting from the use Type 3 fonts in the original source file, such PDF files print without problems; likewise, the onscreen text is searchable and selectable.
More InformationFull bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database.
Please report problems with this file to email@example.com. The SLAC preprint inventory is provided by the SLAC Technical Publications Department.
Page generated 04 Apr 2001 @ 15:08 PDT by htmlme.pl