Pressure from the vacuum of confined spinor matter

TL;DR

This paper investigates how the vacuum pressure of confined charged spinor matter responds to a strong magnetic field, revealing a boundary-condition-independent positive pressure when the magnetic field is sufficiently intense.

Contribution

It demonstrates that under strong magnetic fields, the vacuum pressure becomes positive and independent of boundary conditions and plate separation, advancing understanding of quantum vacuum effects in confined spinor matter.

Findings

Vacuum pressure becomes positive under strong magnetic fields.

Pressure is independent of boundary conditions.

Pressure does not depend on the distance between plates.

Abstract

Charged spinor matter field is quantized in a spatial region bounded by two parallel neutral plates. The most general set of boundary conditions ensuring the confinement of matter within the plates is considered. We study a response of the vacuum of the confined matter to the background uniform magnetic field which is directed orthogonally to the plates. It is proven that, in the case of a sufficiently strong magnetic field, the vacuum pressure onto the plates is positive and independent of the boundary condition, as well as of the distance between the plates.