The Casimir effect for a massless spin-3/2 field in Minkowski spacetime

TL;DR

This paper derives the Casimir effect for a massless spin-3/2 field in Minkowski spacetime, exploring different boundary conditions and expanding understanding of quantum field effects in flat spacetime.

Contribution

It provides the first explicit derivation of the Casimir effect for a massless spin-3/2 field with various boundary conditions in flat spacetime.

Findings

Casimir energy computed for periodic boundary conditions

Results extended to Dirichlet and Neumann boundary conditions

Enhances understanding of quantum effects for higher-spin fields

Abstract

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimir effect for massless spin-3/2 field with periodic boundary condition imposed in four-dimensional Minkowski spacetime. The corresponding results with Dirichlet and Neumann boundary conditions are also discussed.