The Casimir Effect in Finite-Temperature and Gravitational Scenarios

Author:

Bezerra Valdir Barbosa1ORCID,Mota Herondy Francisco Santana1ORCID,Lima Augusto P. C. M.2,Alencar Geová3ORCID,Muniz Celio Rodrigues4ORCID

Affiliation:

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

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.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-Brazil

Publisher

MDPI AG

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