2025-08-29 日本原子力研究開発機構,理化学研究所

図1 本研究の公式により統一された3種類の圧力
<関連情報>
- https://www.jaea.go.jp/02/press2025/p25082902/
- https://www.sciencedirect.com/science/article/pii/S0370269325005192
有限密度カシミール効果のリフシッツ公式 Lifshitz formulas for finite-density Casimir effect
Daisuke Fujii, Katsumasa Nakayama, Kei Suzuki
Physics Letters B Available online: 24 July 2025
DOI:https://doi.org/10.1016/j.physletb.2025.139758
Abstract
The Lifshitz formula is well known as a theoretical approach to investigate the Casimir effect at finite temperature. In this Letter, we generalize the Lifshitz formula to the Casimir effect originating from quantum fields at finite chemical potential. To demonstrate the versatility of this formula, we discuss the typical phenomena of the Casimir effect at finite chemical potential in various systems, such as some boundary conditions, finite temperatures, arbitrary spatial dimensions, and mismatched chemical potentials. This formula can be applied to the Casimir effect in dense quark matter and Dirac/Weyl semimetals, where the chemical potential is regarded as a parameter to control the Casimir effect.

