Zero-point energy in spheroidal geometries

TL;DR

This paper calculates the zero-point energy of scalar fields in spheroidal geometries using zeta-function regularization, with implications for QCD flux tubes and the MIT bag model.

Contribution

It introduces a method to evaluate zero-point energy in spheroidal shapes for small ellipticity, extending previous spherical analyses.

Findings

Zero-point energy depends on spheroidal shape parameters.

Results are relevant for modeling QCD flux tubes.

Extension to vector fields broadens applicability.

Abstract

We study the zero-point energy of a massless scalar field subject to spheroidal boundary conditions. Using the zeta-function method, the zero-point energy is evaluated for small ellipticity. Axially symmetric vector fields are also considered. The results are interpreted within the context of QCD flux tubes and the MIT bag model.