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…
Figures from this paper
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.…
References
SHOWING 1-10 OF 165 REFERENCES
Thermal corrections to the Casimir effect
- Physics
- 2006
The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The…
The Casimir Effect: Physical Manifestations of Zero-Point Energy
- Physics
- 1999
Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily…
Microscopic theory of the Casimir force at thermal equilibrium: large-separation asymptotics.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008
The main result is the correctness of the asymptotic universal formula f(d) approximately -zeta(3)kBT/8pid3, d-->infinity, which supports the fact that, in the framework of the Lifshitz theory of electromagnetic fluctuations, transverse electric modes do not contribute in this regime.
Casimir forces in a T-operator approach
- Physics
- 2008
We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators. The approach is valid for scalar fields as well as for…
Casimir effect on the worldline
- Physics
- 2003
We develop a method to compute the Casimir effect for arbitrary geometries. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with…
Comment on "temperature dependence of the Casimir effect".
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006
It is shown that the arguments against the traditional approach to the thermal Casimir force between real metals and in favor of one of the alternative approaches are contradicted by four recent experiments and violate the third law of thermodynamics.
Casimir interaction between normal or superfluid grains in the Fermi sea
- Physics
- 2006
We report on a new force that acts on cavities (literally empty regions of space) when they are immersed in a background of non-interacting fermionic matter fields. The interaction follows from the…
Temperature dependence of the Casimir effect.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2005
The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper to be consistent with the third law of thermodynamics and not inconsistent with current experiments.
Casimir energy and geometry: beyond the proximity force approximation
- Physics
- 2007
We review the relation between the Casimir effect and geometry, emphasizing deviations from the commonly used proximity force approximation (PFA). We use, to this aim, the scattering formalism which…
Multiple scattering methods in Casimir calculations
- Physics
- 2008
Multiple scattering formulations have been employed for more than 30 years as a method of studying the quantum vacuum or Casimir interactions between distinct bodies. Here we review the method in the…