Casimir piston for massless scalar fields in three dimensions

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dc.creatorEdery, Ariel
dc.date2006-10-16
dc.date2007-05-18
dc.date.accessioned2026-07-07T11:28:01Z
dc.date.available2026-07-07T11:28:01Z
dc.descriptionWe 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.
dc.description19 pages,3 figures; references updated and typos fixed to match published version
dc.identifierhttps://arxiv.org/abs/hep-th/0610173
dc.identifierhttp://arxiv.org/abs/hep-th/0610173
dc.identifierPhys.Rev.D75:105012,2007
dc.identifierdoi:10.1103/PhysRevD.75.105012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196310
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleCasimir piston for massless scalar fields in three dimensions
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