Massive fermion between two parallel chiral plates

TL;DR

This paper analyzes the Casimir effect for a massive fermion confined between two chiral plates, revealing how chiral boundary conditions influence the Casimir energy and force, with implications for quantum field behavior in confined geometries.

Contribution

It provides a detailed study of the Casimir energy under chiral MIT boundary conditions, highlighting the effects of chiral angles and fermion mass on the force.

Findings

Casimir energy is symmetric with respect to the chiral angle.

Chiral boundary conditions lead to a stronger attractive Casimir force.

Behavior of discrete momentum and spin orientation varies with fermion mass.

Abstract

We study the system of a massive fermion field confined between two parallel plates, where the properties of both plates are discussed under chiral MIT boundary conditions. We investigate the effects of the chiral angle on the Casimir energy for a massive fermion field with the general momentum. We find that the Casimir energy as a function of the chiral angle is generally symmetric, and the attractive Casimir force in the chiral case is stronger than that in the nonchiral case. In addition, we investigate the approximate Casimir energy for light and heavy mass cases. The behavior of the discrete momentum and changes of spin orientation are also discussed.