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

Abstract

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 that the sign of the Casimir energy keeps negative if the product of plate distance and the temperature is larger than a special value or the energy will change to be positive. The Casimir energy rises with the stronger thermal influence. We show that the attractive Casimir force between two parallel plates becomes greater with the increasing temperature. In the case of piston system involving the same Majorana fermions with the same boundary conditions, the attractive force on the piston will weaker in the hotter surrounding.

9 pages, 2 figures

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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
• Repulsive Casimir force from a Majorana zero-mode
• Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition