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Open Quantum Systems Decoherence

Finite Temperature Casimir Effect of Scalar Field

arXiv
Authors: Liang Chen, Yu-Jing Wang, Sheng-Yan Li

Year

2024

Paper ID

37662

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We derive analytic expressions for the Helmholtz free energy, Casimir force, and Casimir entropy for both one-dimensional and three-dimensional scalar fields with Dirichlet boundary conditions at finite temperature. We investigate the negative Casimir entropy problem in these systems, as well as for a scalar field in the bulk of a three-dimensional sphere, and find that this issue arises under different regularization prescriptions with differing counterterms. We argue against introducing any counterterms for the thermal corrections to the Casimir effect and predict that the thermal-fluctuation-induced Casimir force becomes repulsive in the high-temperature regime - for instance, when aT/\(πhbar{v}\)>0.2419 for three-dimensional scalar fields.

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  • We derive analytic expressions for the Helmholtz free energy, Casimir force, and Casimir entropy for both one-dimensional and three-dimensional scalar fields with Dirichlet...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.19275 [2] arXiv https://arxiv.org/abs/2410.19275 [3] Publisher https://arxiv.org/abs/2410.19275

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