2007/12/24 by Román Linares, Roman Linares, Hugo A. Morales-Tecotl +2 · 3 citations
Mathematics · Physics and Astronomy · #Boundary value problem #Brane #Brane cosmology #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #Extra dimensions #Geometry #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Randall–Sundrum model #Scalar (mathematics) #Scalar field #Theoretical physics #Zero mode #hep-ph
paper · pdf · doi:10.1103/physrevd.77.066012
published as Phys.Rev.D77:066012,2008 · 22 pages, 2 figures
arxiv created 2007/12/24 · openalex publication_date 2008/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In looking for imprints of extra dimensions in braneworld models one usually builds these so that they are compatible with known low energy physics and thus focuses on high energy effects. Nevertheless, just as submillimeter Newton's law tests probe the mode structure of gravity other low energy tests might apply to matter. As a model example, in this work we determine the 4D Casimir force corresponding to a scalar field subject to Dirichlet boundary conditions on two parallel planes lying within the single brane of a Randall-Sundrum scenario extended by one compact extra dimension. Using the Green's function method such a force picks the contribution of each field mode as if it acted individually but with a weight given by the square of the mode wave functions on the brane. In the low energy regime one regains the standard 4D Casimir force that is associated to a zero mode in the massless case or to a quasilocalized or resonant mode in the massive one while the effect of the extra dimensions gets encoded as an additional term.