2001/04/30 by Frédéric Leblond, Frederic Leblond · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology and Gravitation Theories #Extra dimensions #Field (mathematics) #Geometry #Gravitation #Graviton #Inverse-square law #Large extra dimension #M-theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Space (punctuation) #Square (algebra) #Supergravity #Supersymmetry #Surface (topology) #Theoretical physics #Torus #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.64.045016
published as Phys.Rev.D64:045016,2001 · 19 pages, 3 figures; references added, discussion improved. Version to appear in Phys. Rev. D
arxiv created 2001/05/30 · openalex publication_date 2001/07/27 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study how the geometry of large extra dimensions may affect field theory results on a three-brane. More specifically, we compare cross sections for graviton emission from a brane when the internal space is an N-torus and a N-sphere for N=2--6. The method we present can be used for other smooth compact geometries. We find that the ability of high energy colliders to determine the geometry of the extra dimensions is limited but there is an enhancement when both the quantum gravity scale and N are large. Our field theory results are compared with the low energy corrections to the gravitational inverse square law due to large dimensions compactified on other spaces such as Calabi-Yau manifolds.