Lifshitz formulas for finite-density Casimir effect
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912616225439744 |
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| author | Fujii, Daisuke Nakayama, Katsumasa Suzuki, Kei |
| author_facet | Fujii, Daisuke Nakayama, Katsumasa Suzuki, Kei |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_08384 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lifshitz formulas for finite-density Casimir effect Fujii, Daisuke Nakayama, Katsumasa Suzuki, Kei Quantum Physics Mesoscale and Nanoscale Physics High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | Lifshitz formulas for finite-density Casimir effect |
| topic | Quantum Physics Mesoscale and Nanoscale Physics High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.08384 |