Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-22
Phys.Rev.D83:105020,2011
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 4 figures
Scientific paper
10.1103/PhysRevD.83.105020
We consider the Casimir effect of the electromagnetic field in a higher dimensional spacetime of the form $M\times \mathcal{N}$, where $M$ is the 4-dimensional Minkowski spacetime and $\mathcal{N}$ is an $n$-dimensional compact manifold. The Casimir force acting on a planar piston that can move freely inside a closed cylinder with the same cross section is investigated. Different combinations of perfectly conducting boundary conditions and infinitely permeable boundary conditions are imposed on the cylinder and the piston. It is verified that if the piston and the cylinder have the same boundary conditions, the piston is always going to be pulled towards the closer end of the cylinder. However, if the piston and the cylinder have different boundary conditions, the piston is always going to be pushed to the middle of the cylinder. By taking the limit where one end of the cylinder tends to infinity, one obtains the Casimir force acting between two parallel plates inside an infinitely long cylinder. The asymptotic behavior of this Casimir force in the high temperature regime and the low temperature regime are investigated for the case where the cross section of the cylinder in $M$ is large. It is found that if the separation between the plates is much smaller than the size of $\mathcal{N}$, the leading term of the Casimir force is the same as the Casimir force on a pair of large parallel plates in the $(4+n)$-dimensional Minkowski spacetime. However, if the size of $\mathcal{N}$ is much smaller than the separation between the plates, the leading term of the Casimir force is $1+h/2$ times the Casimir force on a pair of large parallel plates in the 4-dimensional Minkowski spacetime, where $h$ is the first Betti number of $\mathcal{N}$. In the limit the manifold $\mathcal{N}$ vanishes, one does not obtain the Casimir force in the 4-dimensional Minkowski spacetime if $h$ is nonzero.
No associations
LandOfFree
Electromagnetic Casimir piston in higher dimensional spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Electromagnetic Casimir piston in higher dimensional spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electromagnetic Casimir piston in higher dimensional spacetimes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-558320