Recent developments in the Casimir effect

  title={Recent developments in the Casimir effect},
  author={Kimball A. Milton},
  journal={arXiv: High Energy Physics - Theory},
  • K. Milton
  • Published 15 September 2008
  • Physics
  • arXiv: High Energy Physics - Theory
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… 

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

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

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

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.

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

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

Fluctuation-Induced Forces Between Atoms and Surfaces: The Casimir–Polder Interaction

Electromagnetic fluctuation-induced forces between atoms and surfaces are generally known as Casimir–Polder interactions. The exact knowledge of these forces is rapidly becoming important in modern

Temperature dependence of the magnetic Casimir-Polder interaction

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

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

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



Thermal corrections to the Casimir effect

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

Experiment and theory in the Casimir effect

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably

The Casimir Effect: Physical Manifestations of Zero-Point Energy

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.

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 effect on the worldline

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".

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

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.

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

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

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