The Casimir effect at finite temperature in a six-dimensional vortex scenario

TL;DR

This paper investigates the finite-temperature Casimir effect in a six-dimensional vortex scenario, revealing that thermal effects do not reconcile the model with experimental results and the force remains attractive but weaker at higher temperatures.

Contribution

It provides the first analysis of the Casimir effect at finite temperature within a six-dimensional vortex model derived from the Abelian Higgs framework.

Findings

Casimir energy remains negative under thermal influence

Casimir force weakens with increasing temperature

Model remains inconsistent with experimental measurements

Abstract

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is studied at finite temperature. We find that the sign of the Casimir energy remains negative under the thermal influence. It is also shown that the Casimir force between plates will be weaker in the higher-temperature surroundings while keeps attractive. This Casimir effect involving the thermal influence is still inconsistent with the known experiments. We find that the thermal correction can not compensate or even reduce the modification from this kind of vortex model to make the Casimir force to be in less conflict with the measurements.