Casimir Energy and Vacua vor Superconducting Ball in Supergravity

TL;DR

This paper investigates the Casimir energy in superconducting and supergravity models, highlighting its significant role in the stability of neutron stars and nuclear matter through finite models including supersymmetric frameworks.

Contribution

It introduces finite models of Casimir energy for superconducting balls, including a supersymmetric model based on Witten's superconducting string theory.

Findings

Casimir energy can significantly influence superdense states.

Finite models reveal the importance of superconductivity in astrophysical contexts.

Supersymmetric models provide new insights into Casimir effects in supergravity.

Abstract

Casimir energy for solid conducting ball is considered on the base of some finite models. One model is physical and built of a battery of parallel metallic plates. Two finite models are based on the Higgs model of superconductivity. One of them is supersymmetric and based on the Witten field model for superconducting strings. Treatment shows that contribution of Casimir energy can be very essential for superdence state in the neutron stars and nuclear matter.