Casimir energy for spinor fields with $\delta$-shell potentials

TL;DR

This paper calculates the Casimir energy for a massive spinor field in flat space with a spherical delta-shell potential, extending the MIT bag model using spectral zeta function regularization.

Contribution

It introduces a generalized approach to evaluate Casimir energy for spinor fields with delta-shell potentials using spectral zeta function regularization.

Findings

Explicit numerical results for specific cases

Casimir energy unambiguously defined in these cases

Generalization of the MIT bag model

Abstract

This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric $\delta$-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is evaluated after performing a suitable analytic continuation. Explicit numerical results are provided for specific cases in which the Casimir energy is unambiguously defined. The results described in this work represent a generalization of the MIT bag model for spinor fields.