2005/04/01 by C. P. Burgess, D. Hoover, D Hoover
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Brane cosmology #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #Covariance #Dimension (graph theory) #Extra dimensions #Massless particle #Mathematical physics #Mathematics #Physics #Planck #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Sensitivity (control systems) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.03.005
published as Nucl.Phys.B772:175-204,2007 · 39 pages
arxiv created 2005/04/01 · openalex publication_date 2007/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the ultraviolet (UV)-sensitive part of the one-loop Casimir energy which is induced when various higher-dimensional supergravities are compactified to 4D on extra dimensions which are Ricci flat, but otherwise arbitrary. We identify the leading dependence on the mass of very massive higher-dimensional modes, as well as the UV divergent part of the contributions of modes which are massless in the higher-dimensional sense (but which consist of a KK tower of massive modes from the 4D perspective), and show how these are constrained by higher-dimensional general covariance. Some of the implications of co-dimension 2 branes are computed in the limit where their tension is small compared with the extra-dimensional Planck scale (but not small compared with the observed dark energy). Our results support the interpretation of supersymmetric large extra dimensions (SLED) in 6 dimensions as a potential solution to the cosmological constant problem (but do not yet completely clinch the case).