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 gaugeinvariant boundary conditions, andWard identities, the energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts, while a new simple formula for the trace anomaly is obtained to first order in the constant acceleration. 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.

Energy-momentum tensor for a Casimir apparatus in a weak gravitational field / Bimonte, GIUSEPPE ROBERTO; Calloni, Enrico; Esposito, G; Rosa, Luigi. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - STAMPA. - D74:8(2006), pp. 085011-1-085011-11. [10.1103/PhysRevD.74.085011]

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

BIMONTE, GIUSEPPE ROBERTO;CALLONI, ENRICO;ESPOSITO G;ROSA, LUIGI
2006

Abstract

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 gaugeinvariant boundary conditions, andWard identities, the energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts, while a new simple formula for the trace anomaly is obtained to first order in the constant acceleration. 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.
2006
Energy-momentum tensor for a Casimir apparatus in a weak gravitational field / Bimonte, GIUSEPPE ROBERTO; Calloni, Enrico; Esposito, G; Rosa, Luigi. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - STAMPA. - D74:8(2006), pp. 085011-1-085011-11. [10.1103/PhysRevD.74.085011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/100222
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