# Recent developments in the Casimir effect

@article{Milton2008RecentDI, title={Recent developments in the Casimir effect}, author={Kimball A. Milton}, journal={arXiv: High Energy Physics - Theory}, year={2008}, volume={161}, pages={012001} }

In this paper I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the Casimir force between real materials, be they metals or semiconductors. Consensus has emerged as to how Casimir energy accelerates in a weak gravitational field; quantum vacuum energy, including the divergent parts which renormalize the masses of the Casimir…

## 39 Citations

### Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional space-time

- Physics
- 2014

The Casimir effect for rectangular boxes has been studied for several decades. But there are still some unclear points. Recently, there are new developments related to this topic, including the…

### Interplay between geometry and temperature in the Casimir effect

- Physics
- 2010

In this thesis, we investigate the interplay between geometry and temperature in the Casimir effect for the inclined-plates, sphere-plate and cylinder-plate configurations. We use the worldline…

### Edges and diffractive effects in Casimir energies

- Mathematics
- 2010

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We…

### Casimir free energy for massive fermions and the applicability of the zeta function.

- Physics
- 2020

We compute the Casimir Helmholtz free energy, using its fundamental definition, for a fermion field between two parallel plates with the MIT boundary conditions. We show that the Casimir free energy…

### Thermal diffractive corrections to Casimir energies

- Physics
- 2011

We study the interplay of thermal and diffractive effects in Casimir energies. We consider plates with edges, oriented either parallel or perpendicular to each other, as well as a single plate with a…

### Temperature dependence of the magnetic Casimir-Polder interaction

- Physics
- 2009

We analyze the magnetic dipole contribution to atom-surface dispersion forces. Unlike its electrical counterpart, it involves small transition frequencies that are comparable to thermal energy…

### Casimir free energy for massive fermions: a comparative study of various approaches

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

We compute the Casimir thermodynamic quantities for a massive fermion field between two parallel plates with the MIT boundary conditions, using three different general approaches and present explicit…

### Casimir Effect in the Scattering Approach: Correlations Between Material Properties, Temperature and Geometry

- Physics
- 2011

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this…

### FINITE TEMPERATURE CASIMIR EFFECT FOR PERFECTLY CONDUCTING PARALLEL PLATES IN (D + 1)-DIMENSIONAL SPACETIME

- Mathematics
- 2012

We study the finite temperature Casimir effect between perfectly conducting parallel plates in (D + 1)-dimensional spacetime by using zeta-function regularization technique. We get the analytical…

### Finite temperature Casimir effect on spherical shells in (D + 1)-dimensional spacetime and its high temperature limit

- Physics
- 2013

We consider the finite temperature Casimir free energy acting on a spherical shell in (D + 1)-dimensional Minkowski spacetime due to the vacuum fluctuations of scalar and electromagnetic fields.…

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