Shadows of the planck scale: scale dependence of compactification geometry.
By studying the effects of the shape moduli associated with toroidal compactifications, we demonstrate that Planck-sized extra dimensions can cast significant "shadows" over low-energy physics. These shadows distort our perceptions of the compactification geometry associated with large extra dimensions and place a fundamental limit on our ability to probe the geometry of compactification by measuring Kaluza-Klein states. We also find that compactification geometry is effectively renormalized as a function of energy scale, with "renormalization group equations" describing the "flow" of geometric parameters such as compactification radii and shape angles as functions of energy.
Dienes
Keith R
KR
Department of Physics, University of Arizona, Tucson, Arizona 85721, USA. dienes@physics.arizona.edu
Mafi
Arash
A