Finite temperature Casimir effect of massive fermionic fields in the presence of compact dimensions

Abstract

We consider the finite temperature Casimir effect of a massive fermionic field confined between two parallel plates, with MIT bag boundary conditions on the plates. The background spacetime is $M^{p+1}\times T^q$ which has $q$ dimensions compactified to a torus. On the compact dimensions, the field is assumed to satisfy periodicity boundary conditions with arbitrary phases. Both the high temperature and the low temperature expansions of the Casimir free energy and the force are derived explicitly. It is found that the Casimir force acting on the plates is always attractive at any temperature regardless of the boundary conditions assumed on the compact torus. The asymptotic limits of the Casimir force in the small plate separation limit are also obtained.

10 pages, accepted by Phys. Lett. B

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• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
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• Casimir free energy for massive fermions: a comparative study of various approaches
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Fermionic Casimir effect in the presence of compact dimension in field theory with Lorentz invariance violation