Casimir Effect at Finite Temperature in the Presence of One Fractal Extra Compactified Dimension

  title={Casimir Effect at Finite Temperature in the Presence of One Fractal Extra Compactified Dimension},
  author={Hongbo Cheng},
  journal={Communications in Theoretical Physics},
  • Hongbo Cheng
  • Published 6 September 2011
  • Physics
  • Communications in Theoretical Physics
We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy density with the help of the regularization of multiple zeta function with one arbitrary exponent and further the renormalized Casimir energy density involving the thermal corrections. It is found that when the temperature is sufficiently high, the sign of the… 
2 Citations

Figures from this paper

The Casimir Effect at Finite Temperature in a Six-Dimensional Vortex Scenario

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs

Repulsive Casimir Force in a Cavity Comprising a Dielectric with Output Coupling

The Casimir force between a perfectly conducting wall and a dielectric wall in a cavity comprising a transparent dielectric with output coupling is investigated. By using full quantum theory, we



Finite temperature Casimir effect and dispersion in the presence of compactified extra dimensions

Finite temperature Casimir theory of the Dirichlet scalar field is developed assuming that there is a conventional Casimir setup in physical space with two infinitely large plates separated by a gap

The Casimir energy for a rectangular cavity at finite temperature

In this paper the Casimir effect arising from the case of Dirichlet boundary conditions confining the massless scalar field at finite temperature is reexamined for a (D-1)-dimensional rectangular

Casimir effect for parallel plates involving massless Majorana fermions at finite temperature

We study the Casimir effect for parallel plates with massless Majorana fermions obeying the bag boundary conditions at finite temperature. The thermal influence will modify the effect. It is found

Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes

We evaluate the Casimir energy and force for a massive fermionic field in the geometry of two parallel plates on background of Minkowski spacetime with an arbitrary number of toroidally compactified

Finite temperature Casimir effect for massive scalar field in spacetime with extra dimensions

We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with

Finite temperature Casimir effect for massless Majorana fermions in a magnetic field

The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel plates and satisfying bag boundary