The paper derives new formulas for the topological mass and two-loop vacuum energy of a massless λφ⁴ scalar in quasi-periodic Minkowski and half-Einstein spacetimes.
Anomalies in electrostatic calibrations for the measurement of the Casimir force in a sphere-plane geometry
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abstract
We have performed precision electrostatic calibrations in the sphere-plane geometry and observed anomalous behavior. Namely, the scaling exponent of the electrostatic signal with distance was found to be smaller than expected on the basis of the pure Coulombian contribution and the residual potential found to be distance dependent. We argue that these findings affect the accuracy of the electrostatic calibrations and invite reanalysis of previous determinations of the Casimir force.
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Ground state energy and topological mass in spacetimes with nontrivial topology
The paper derives new formulas for the topological mass and two-loop vacuum energy of a massless λφ⁴ scalar in quasi-periodic Minkowski and half-Einstein spacetimes.