Lifshitz formulas for finite-density Casimir effect
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,...
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Elsevier
2025-09-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325005192 |
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| author | Daisuke Fujii Katsumasa Nakayama Kei Suzuki |
| author_facet | Daisuke Fujii Katsumasa Nakayama Kei Suzuki |
| author_sort | Daisuke Fujii |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-34a4034acafa47a2b463a8cc3a42835c |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-34a4034acafa47a2b463a8cc3a42835c2025-08-20T03:59:37ZengElsevierPhysics Letters B0370-26932025-09-0186813975810.1016/j.physletb.2025.139758Lifshitz formulas for finite-density Casimir effectDaisuke Fujii0Katsumasa Nakayama1Kei Suzuki2Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai, 319-1195, Japan; Research Center for Nuclear Physics, Osaka University, Ibaraki 567-0048, Japan; Corresponding author at: Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai, 319-1195, Japan.RIKEN Center for Computational Science, Kobe, 650-0047, Japan; Corresponding author.Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai, 319-1195, Japan; Corresponding author at: Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai, 319-1195, Japan.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.http://www.sciencedirect.com/science/article/pii/S0370269325005192Lifshitz formulaCasimir effectFinite densityFinite temperatureQuark matter |
| spellingShingle | Daisuke Fujii Katsumasa Nakayama Kei Suzuki Lifshitz formulas for finite-density Casimir effect Physics Letters B Lifshitz formula Casimir effect Finite density Finite temperature Quark matter |
| title | Lifshitz formulas for finite-density Casimir effect |
| title_full | Lifshitz formulas for finite-density Casimir effect |
| title_fullStr | Lifshitz formulas for finite-density Casimir effect |
| title_full_unstemmed | Lifshitz formulas for finite-density Casimir effect |
| title_short | Lifshitz formulas for finite-density Casimir effect |
| title_sort | lifshitz formulas for finite density casimir effect |
| topic | Lifshitz formula Casimir effect Finite density Finite temperature Quark matter |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325005192 |
| work_keys_str_mv | AT daisukefujii lifshitzformulasforfinitedensitycasimireffect AT katsumasanakayama lifshitzformulasforfinitedensitycasimireffect AT keisuzuki lifshitzformulasforfinitedensitycasimireffect |