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Review

The Casimir Effect in Finite-Temperature and Gravitational Scenarios

by
Valdir Barbosa Bezerra
1,*,
Herondy Francisco Santana Mota
1,
Augusto P. C. M. Lima
2,
Geová Alencar
3 and
Celio Rodrigues Muniz
4
1
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa 58051-900, Paraíba, Brazil
2
Instituto Federal de Educação, Ciência e Tecnologia do Piauí, Campus Corrente, Rua Projetada 06, S/n, Corrente 64980-000, Piauí, Brazil
3
Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, Fortaleza 60455-760, Ceará, Brazil
4
Faculdade de Educação, Ciências e Letras de Iguatu, Universidade Estadual do Ceará, Iguatu 63500-000, Ceará, Brazil
*
Author to whom correspondence should be addressed.
Physics 2024, 6(3), 1046-1071; https://doi.org/10.3390/physics6030065
Submission received: 11 January 2024 / Revised: 8 June 2024 / Accepted: 5 July 2024 / Published: 13 August 2024
(This article belongs to the Special Issue 75 Years of the Casimir Effect: Advances and Prospects)

Abstract

In this paper, we review some recent findings related to the Casimir effect. Initially, the thermal corrections to the vacuum Casimir energy density are calculated, for a quantum scalar field, whose modes propagate in the (3+1)-dimensional Euclidean spacetime, subject to a nontrivial compact boundary condition. Next, we analyze the Casimir effect induced by two parallel plates placed in a weak gravitational field background. Finally, we review the three-dimensional wormhole solutions sourced by the Casimir density and pressures associated with the quantum vacuum fluctuations of the Yang-Mills field.
Keywords: Casimir effect; finite-temperature effect; nontrivial compact boundary condition; weak gravitational field; wormhole; Yang–Mills field Casimir effect; finite-temperature effect; nontrivial compact boundary condition; weak gravitational field; wormhole; Yang–Mills field

Share and Cite

MDPI and ACS Style

Bezerra, V.B.; Mota, H.F.S.; Lima, A.P.C.M.; Alencar, G.; Muniz, C.R. The Casimir Effect in Finite-Temperature and Gravitational Scenarios. Physics 2024, 6, 1046-1071. https://doi.org/10.3390/physics6030065

AMA Style

Bezerra VB, Mota HFS, Lima APCM, Alencar G, Muniz CR. The Casimir Effect in Finite-Temperature and Gravitational Scenarios. Physics. 2024; 6(3):1046-1071. https://doi.org/10.3390/physics6030065

Chicago/Turabian Style

Bezerra, Valdir Barbosa, Herondy Francisco Santana Mota, Augusto P. C. M. Lima, Geová Alencar, and Celio Rodrigues Muniz. 2024. "The Casimir Effect in Finite-Temperature and Gravitational Scenarios" Physics 6, no. 3: 1046-1071. https://doi.org/10.3390/physics6030065

APA Style

Bezerra, V. B., Mota, H. F. S., Lima, A. P. C. M., Alencar, G., & Muniz, C. R. (2024). The Casimir Effect in Finite-Temperature and Gravitational Scenarios. Physics, 6(3), 1046-1071. https://doi.org/10.3390/physics6030065

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