Thermal Casimir effect in ideal metal rectangular boxes
arXiv:0808.3754 · doi:10.1140/epjc/s10052-008-0698-z
Abstract
The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any restricted quantization volume. This expression satisfies the classical limit at high temperature and leads to zero thermal Casimir force for systems with infinite characteristic dimensions. In the case of two parallel ideal metal planes the results, as derived previously using thermal quantum field theory in Matsubara formulation and other methods, are reproduced starting from the obtained expression. It is shown that for rectangular boxes the temperature-dependent contribution to the electromagnetic Casimir force can be both positive and negative depending on side lengths. The numerical computations of the scalar and electromagnetic Casimir free energy and force are performed for cubes
10 pages, 4 figures, to appear in Europ. Phys. J. C
References in corpus (9)
- Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
- Casimir force on a piston
- Casimir interaction of two plates inside a cylinder
- Casimir piston for massless scalar fields in three dimensions
- Casimir Forces in a Piston Geometry at Zero and Finite Temperatures
- Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
- Thermal Casimir effect in ideal metal rectangular boxes
- Casimir pistons with hybrid boundary conditions
- Electromagnetic Casimir densities for a wedge with a coaxial cylindrical shell