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- W3106255576 abstract "Using a multidimensional cut-off technique, we obtain expressions for the cut-off dependent part of the vacuum energy for parallelepiped geometries in any spatial dimension d. The cut-off part yields nonrenormalizable hypersurface divergences and we show explicitly that they cancel in the Casimir piston scenario in all dimensions. We obtain two different expressions for the d-dimensional Casimir force on the piston where one expression is more convenient to use when the plate separation a is large and the other when a is small (a useful a→1/a duality). The Casimir force on the piston is found to be attractive (negative) for any dimension d. We apply the d-dimensional formulas (both expressions) to the two and three-dimensional Casimir piston with Neumann boundary conditions. The 3D Neumann results are in numerical agreement with those recently derived in 0705.0139 using an optical path technique providing an independent confirmation of our multidimensional approach. We limit our study to massless scalar fields." @default.
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- W3106255576 date "2007-09-04" @default.
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- W3106255576 title "Cancellation of nonrenormalizable hypersurface divergences and thed-dimensional Casimir piston" @default.
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- W3106255576 doi "https://doi.org/10.1088/1126-6708/2007/09/005" @default.
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