Casimir effect for Elko fields
S. H. Pereira, J. M. Hoff da Silva, Rubia dos Santos
TL;DR
This paper investigates the Casimir effect for Elko fermion fields in 3+1 dimensions, revealing a repulsive force four times stronger than for scalar fields, with explanations for these differences.
Contribution
It provides the first detailed analysis of the Casimir effect for Elko fields, highlighting their unique repulsive force compared to scalar fields and interpreting the underlying reasons.
Findings
Repulsive Casimir force for Elko fields is four times greater than for scalar fields.
The paper explains the reasons behind the differences in Casimir forces between scalar and Elko fermionic fields.
It establishes a parallel between the Casimir effects of scalar and fermionic fields.
Abstract
The Casimir effect for {mass dimension one fermion fields (sometimes called Elko)} in dimension is obtained using Dirichlet boundary conditions. It is shown the existence of a repulsive force four times greater than the case of the scalar field. The precise reason for such differences are highlighted and interpreted, as well as the right parallel of the Casimir effect due to scalar and fermionic fields.
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