Casimir self-energy of a d-d0 sphere
Romaniega, C. ; Munoz-Castaneda, J.¿M. ; Cavero-Peláez, I. (Universidad de Zaragoza)
Resumen: We extend previous work on the vacuum energy of a massless scalar field in the presence of singular potentials. We consider a single sphere defined by the so-called δ −
δ ′ interaction. Contrary to the Dirac δ -potential, we find a nontrivial one-parameter family of potentials such that the regularization procedure gives an unambiguous result for the Casimir self-energy. The procedure employed is based on the zeta function regularization and the cancellation of the heat kernel coefficient a 2 . The results obtained are in agreement with particular cases, such as the Dirac δ or Robin and Dirichlet boundary conditions.
Idioma: Inglés
DOI: 10.1103/PhysRevD.107.025002
Año: 2023
Publicado en: Physical Review D 107, 2 (2023), 025002 [12pp.]
ISSN: 2470-0010
Financiación: info:eu-repo/grantAgreement/ES/MCI-AEI-FEDER/PGC2018-095328-B-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Exportado de SIDERAL (2023-02-16-08:50:08)
δ ′ interaction. Contrary to the Dirac δ -potential, we find a nontrivial one-parameter family of potentials such that the regularization procedure gives an unambiguous result for the Casimir self-energy. The procedure employed is based on the zeta function regularization and the cancellation of the heat kernel coefficient a 2 . The results obtained are in agreement with particular cases, such as the Dirac δ or Robin and Dirichlet boundary conditions.
Idioma: Inglés
DOI: 10.1103/PhysRevD.107.025002
Año: 2023
Publicado en: Physical Review D 107, 2 (2023), 025002 [12pp.]
ISSN: 2470-0010
Financiación: info:eu-repo/grantAgreement/ES/MCI-AEI-FEDER/PGC2018-095328-B-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Exportado de SIDERAL (2023-02-16-08:50:08)
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Record created 2023-02-16, last modified 2023-02-16