Rotating fermions inside a spherical boundary

TL;DR

This paper quantizes the Dirac field inside a spherical boundary with rotation, analyzing boundary conditions and thermal effects, and finds the fermion condensate depends on boundary conditions in thermal equilibrium.

Contribution

It introduces a canonical quantization of the Dirac field in rotating spherical boundaries with spectral and MIT conditions, and studies thermal fermion condensates.

Findings

Vacuum state is unique and matches Minkowski vacuum under rotation.

Fermion condensate depends on boundary conditions.

Thermal expectation value varies with boundary conditions.

Abstract

We apply the cannonical quantization procedure to the Dirac field inside a spherical boundary with rotating coordinates. The rotating quantum states with two kinds of boundary conditions, namely, spectral and MIT boundary conditions, are defined. To avoid faster-than-light, we require the speed on the surface to be less than the speed of light. For this situation, the definition of vacuum is unique and identical with the Minkowski vacuum. Finally, we calculate the thermal expectation value of the fermion condensate in a thermal equilibrium rotating fermion field and find it depends on the boundary condition.