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

TL;DR

This paper investigates how finite temperature affects the Casimir effect for massless Majorana fermions between parallel plates, revealing temperature-dependent sign changes and force variations.

Contribution

It provides a detailed analysis of the thermal influence on the Casimir effect for Majorana fermions with bag boundary conditions, including sign reversal and force behavior.

Findings

Casimir energy remains negative when the product of temperature and distance exceeds a threshold.

Thermal effects increase the magnitude of the attractive Casimir force.

In piston systems, higher temperature weakens the attractive force on the piston.

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.