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 Factor impacto JCR: 4.6 (2023) Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 7 / 31 = 0.226 (2023) - Q1 - T1 Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 17 / 84 = 0.202 (2023) - Q1 - T1 Factor impacto CITESCORE: 9.3 - Nuclear and High Energy Physics (Q1)