Year: 2009
Type: article
Abstract: In this paper we study the effect of spacetime noncommutativity in the five-dimensional Randall-Sundrum braneworlds on the Casimir force acting on a pair of parallel plates. We show that the presence of a noncommutative scale length affects the nature of the Casimir force for small plate separation. Using accurate experimental bounds for the Casimir force in parallel plate geometry, we find an upper bound for the noncommutative cutoff of the order of ${10}^{3}\text{ }\text{ }\mathrm{TeV}$; we also find that the size of the interbrane distance in the first Randall-Sundrum model is approximately given by $kR\ensuremath{\lesssim}20.5$ and $kR\ensuremath{\lesssim}18.4$ for $k={10}^{19}\text{ }\text{ }\mathrm{GeV}$ and $k={10}^{16}\text{ }\text{ }\mathrm{GeV}$, respectively.
Authors: Khireddine Nouicer, Youssef Sabri
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2093076074