Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: scalar case

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dc.creatorEsposito, Giampiero
dc.creatorNapolitano, George M.
dc.creatorRosa, Luigi
dc.date2008-03-06
dc.date.accessioned2026-07-07T11:40:40Z
dc.date.available2026-07-07T11:40:40Z
dc.descriptionRecent work in the literature had evaluated the energy-momentum tensor of a Casimir apparatus in a weak gravitational field, for an electromagnetic field subject to perfect conductor boundary conditions on parallel plates. The Casimir apparatus was then predicted to experience a tiny push in the upwards direction, and the regularized energy-momentum tensor was found to have a trace anomaly. The latter, unexpected property made it compelling to assess what happens in a simpler case. For this purpose, the present paper studies a free, real massless scalar field subject to homogeneous Dirichlet conditions on the parallel plates. Working to first order in the constant gravity acceleration, the resulting regularized and renormalized energy-momentum tensor is found to be covariantly conserved, while the trace anomaly vanishes if the massless scalar field is conformally coupled to gravity. Conformal coupling also ensures a finite Casimir energy and finite values of the pressure upon parallel plates.
dc.description14 pages, Revtex4
dc.identifierhttps://arxiv.org/abs/0803.0861
dc.identifierhttp://arxiv.org/abs/0803.0861
dc.identifierPhys.Rev.D77:105011,2008
dc.identifierdoi:10.1103/PhysRevD.77.105011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200325
dc.subjectHigh Energy Physics - Theory
dc.titleEnergy-momentum tensor of a Casimir apparatus in a weak gravitational field: scalar case
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