Casimir self-energy of a d-d0 sphere
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)

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