Energy-momentum tensor for a Casimir apparatus in a weak gravitational field

Physics – High Energy Physics – High Energy Physics - Theory

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Equations (4.4), (5.1), (5.2), (5.4), (B9) have been amended, while equations (5.7) and (5.8) have been deleted. Comments have

Scientific paper

10.1103/PhysRevD.74.085011

The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. We use Fermi coordinates and work to first order in the constant acceleration parameter. A perturbative expansion, to this order, of the Green functions involved and of the energy-momentum tensor is derived by means of the covariant geodesic point splitting procedure. In correspondence to the Green functions satisfying mixed and gauge-invariant boundary conditions, and Ward identities, the energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts. A more systematic derivation is therefore obtained of the theoretical prediction according to which the Casimir device in a weak gravitational field will experience a tiny push in the upwards direction.

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