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We study the zero-point energy of a massless scalar field subject to spheroidal boundary conditions. Using the zeta-function method, the zero-point energy is evaluated for small ellipticity. Axially symmetric vector fields are also considered. The results are interpreted within the context of QCD flux tubes and the MIT bag model.doi:10.1088/0305-4470/39/21/s43 fatcat:vq2rbqgs4zcmnnxmxsj6ehxknq