Zero-point energy of massless scalar fields in the presence of soft and semihard boundaries in D dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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36 pages, LaTeX, 4 figures

Scientific paper

10.1142/S0217751X99001044

The renormalized energy density of a massless scalar field defined in a D-dimensional flat spacetime is computed in the presence of "soft" and "semihard" boundaries, modeled by some smoothly increasing potential functions. The sign of the renormalized energy densities for these different confining situations is investigated. The dependence of this energy on $D$ for the cases of "hard" and "soft/semihard" boundaries are compared.

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