Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-06
Phys.Rev.D77:105011,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, Revtex4
Scientific paper
10.1103/PhysRevD.77.105011
Recent 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.
Esposito Giampiero
Napolitano George M.
Rosa Luigi
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