Zero-point energy in spheroidal geometries

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.

6 pages, QFEXT'05, Barcelona, Spain. Typos corrected, references added

References in corpus (5)

• Zeta Functions and the Casimir Energy
• Casimir effect for a $D$-dimensional sphere
• Theory and Computation of the Spheroidal Wave Functions
• Spectral Zeta Functions for a Cylinder and a Circle
• Gluon field distribution in baryons

Cited by in corpus (7)

• Local and Global Casimir Energies for a Semitransparent Cylindrical Shell
• Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
• Perturbative zero-point energy for a cylinder of elliptical section
• Evaluation of the Casimir Force for a Dielectric-diamagnetic Cylinder with Light Velocity Conservation Condition and the Analogue of Sellmeir's Dispersion Law
• The Casimir Effect in Spheroidal Geometries
• Boundary Shape and Casimir Energy
• Local and Global Casimir Energies in a Green's Function Approach