Casimir piston for massless scalar fields in three dimensions

Details Casimir piston for massless scalar fields in three dimensions Casimir piston for massless scalar fields in three dimensions

2006-10-16

arxiv.org/abs/hep-th/0610173v3

Phys.Rev.D75:105012,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages,3 figures; references updated and typos fixed to match published version

Scientific paper

10.1103/PhysRevD.75.105012

We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a three dimensional cavity with sides of arbitrary lengths $a,b$ and $c$ where $a$ is the plate separation. We obtain an exact expression for the Casimir force on the piston valid for any values of the three lengths. As in the electromagnetic case with perfect conductor conditions, we find that the Casimir force is negative (attractive) regardless of the values of $a$, $b$ and $c$. Though cases exist where the interior contributes a positive (repulsive) Casimir force, the total Casimir force on the piston is negative when the exterior contribution is included. We also obtain an alternative expression for the Casimir force that is useful computationally when the plate separation $a$ is large.

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