2001/11/28 by Keith R. Dienes, Arash Mafi · 1 voice
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Compactification (mathematics) #Cosmology and Gravitation Theories #Extra dimensions #Geometry #Length scale #Mathematical physics #Mathematics #Moduli #Particle physics theoretical and experimental studies #Physics #Planck length #Planck scale #Quantum gravity #Quantum mechanics #Renormalization group #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.88.111602
published as Phys.Rev.Lett.88:111602,2002 · 7 pages, LaTeX, 2 figures
arxiv created 2001/11/28 · arxiv published 2001/11/28 · arxiv updated 2001/11/28 · openalex publication_date 2002/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.