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Vacuum Energy Density near Fluctuating Boundaries

L. H. Ford·N. F. Svaiter
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Abstract

The imposition of boundary conditions upon a quantized field can lead to singular energy densities on the boundary. We treat the boundaries as quantum mechanical objects with a nonzero position uncertainty, and show that the singular energy density is removed. This treatment also resolves a long standing paradox concerning the total energy of the minimally coupled and conformally coupled scalar fields.

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L. H. Ford, N. F. Svaiter. 1998-06-02. Vacuum Energy Density near Fluctuating Boundaries. https://doi.org/10.1103/physrevd.58.065007

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