The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions
arXiv:0805.4038 · doi:10.1103/PhysRevD.78.025021
Abstract
Perfect magnetic conductor (PMC) boundary conditions are dual to the more familiar perfect electric conductor (PEC) conditions and can be viewed as the electromagnetic analog of the boundary conditions in the bag model for hadrons in QCD. Recent advances and requirements in communication technologies have attracted great interest in PMC's and Casimir experiments involving structures that approximate PMC's may be carried out in the not too distant future. In this paper, we make a study of the zero-temperature PMC Casimir piston in dimensions. The PMC Casimir energy is explicitly evaluated by summing over -dimensional Dirichlet energies where p ranges from 2 to inclusively. We derive two exact -dimensional expressions for the Casimir force on the piston and find that the force is negative (attractive) in all dimensions. Both expressions are applied to the case of 2+1 and 3+1 dimensions. A spin-off from our work is a contribution to the PEC literature: we obtain a useful alternative expression for the PEC Casimir piston in 3+1 dimensions and also evaluate the Casimir force per unit area on an infinite strip, a geometry of experimental interest.
arXiv comment18 pages, 1 figure, to appear in Phys. Rev. D
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