On the ground state energy for a penetrable sphere and for a dielectric ball

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dc.creatorBordag, M.
dc.creatorKirsten, K.
dc.creatorVassilevich, D.
dc.date1998-11-02
dc.date.accessioned2026-07-07T11:10:28Z
dc.date.available2026-07-07T11:10:28Z
dc.descriptionWe analyse the ultraviolet divergencies in the ground state energy for a penetrable sphere and a dielectric ball. We argue that for massless fields subtraction of the ``empty space'' or the ``unbounded medium'' contribution is not enough to make the ground state energy finite whenever the heat kernel coefficient $a_2$ is not zero. It turns out that $a_2\ne 0$ for a penetrable sphere, a general dielectric background and the dielectric ball. To our surprise, for more singular configurations, as in the presence of sharp boundaries, the heat kernel coefficients behave to some extend better than in the corresponding smooth cases, making, for instance, the dilute dielectric ball a well defined problem.
dc.description18 pages, 1 figure, subm. to Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-th/9811015
dc.identifierhttp://arxiv.org/abs/hep-th/9811015
dc.identifierPhys.Rev.D59:085011,1999
dc.identifierdoi:10.1103/PhysRevD.59.085011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190790
dc.subjectHigh Energy Physics - Theory
dc.titleOn the ground state energy for a penetrable sphere and for a dielectric ball
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