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Stabilization of Sub-Millimeter Dimensions: The New Guise of the Hierarchy Problem.

DE20049923

Publication Date	2004
Personal Author	Arkani-Hamed, N.; Dimopoulos, S.; March-Russell, J.
Page Count	34
Abstract	A 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(sup -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.
Keywords	Cosmological constant Dimensions Standard model Supersymmetry Quantum numbers Scalar fields Radiative corrections
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200424

Stabilization of Sub-Millimeter Dimensions: The New Guise of the Hierarchy Problem.

Stabilization of Sub-Millimeter Dimensions: The New Guise of the Hierarchy Problem.
DE20049923

Publication Date	2004
Personal Author	Arkani-Hamed, N.; Dimopoulos, S.; March-Russell, J.
Page Count	34
Abstract	A 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(sup -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.
Keywords	Cosmological constant Dimensions Standard model Supersymmetry Quantum numbers Scalar fields Radiative corrections
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200424