Massless rotating fermions inside a cylinder

TL;DR

This paper investigates the behavior of massless rotating fermions inside a cylindrical boundary in Minkowski space, analyzing how different boundary conditions affect thermal states and Casimir divergences.

Contribution

It compares spectral and MIT bag boundary conditions for rotating fermions, revealing their distinct impacts on thermal expectation values and divergences.

Findings

Finite thermal expectation values inside the cylinder for small radii

Different properties of Casimir divergences based on boundary conditions

Local vs. nonlocal boundary condition effects on fermion fields

Abstract

We study rotating thermal states of a massless quantum fermion field inside a cylinder in Minkowski space-time. Two possible boundary conditions for the fermion field on the cylinder are considered: the spectral and MIT bag boundary conditions. If the radius of the cylinder is sufficiently small, rotating thermal expectation values are finite everywhere inside the cylinder. We also study the Casimir divergences on the boundary. The rotating thermal expectation values and the Casimir divergences have different properties depending on the boundary conditions applied at the cylinder. This is due to the local nature of the MIT bag boundary condition, while the spectral boundary condition is nonlocal.