Dienes Keith R, Mafi Arash
Department of Physics, University of Arizona, Tucson, Arizona 85721, USA.
Phys Rev Lett. 2002 Mar 18;88(11):111602. doi: 10.1103/PhysRevLett.88.111602. Epub 2002 Mar 4.
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.
通过研究与环面紧致化相关的形状模量的影响，我们证明普朗克尺度的额外维度会在低能物理中投射出显著的“阴影”。这些阴影扭曲了我们对与大额外维度相关的紧致化几何的认知，并对我们通过测量卡鲁扎 - 克莱因态来探测紧致化几何的能力施加了基本限制。我们还发现紧致化几何作为能量尺度的函数有效地进行了重整化，“重整化群方程”描述了诸如紧致化半径和形状角等几何参数随能量的“流动”。
