Archimedes force on Casimir apparatus
1 National Research Centre “Kurchatov Institute”, ac.Kurchatova sq., 1, Moscow 123182 Russia
2 Far Eastern Federal University, Sukhanova str. 8, Vladivostok 690950 Russia
a e-mail: Vladimir.Shevchenko@cern.ch
Published online: 4 November 2016
The talk addresses a problem of Casimir apparatus in weak gravitational field, surrounded by a dense medium. The falling of the apparatus has to be governed by the equivalence principle, taking into account proper contributions to the weight of the apparatus from its material part and from distorted quantum fields. We discuss general ex pression for the corresponding force in terms of the effective action. By way of example we compute explicit expression for Archimedes force, acting on the Casimir apparatus of finite size, immersed into thermal bath of free scalar field. It is shown that besides universal term, proportional to the volume of the apparatus, there are non-universal quantum corrections, depending on the boundary conditions.
© The Authors, published by EDP Sciences, 2016
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