Vacuum energy and spectral function sum rules

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, revtex4, no figures, version to be published on PRD

Scientific paper

10.1103/PhysRevD.75.083514

We reformulate the problem of the cancellation of the ultraviolet divergencies of the vacuum energy, particularly important at the cosmological level, in terms of a saturation of spectral function sum rules which leads to a set of conditions on the spectrum of the fundamental theory. We specialize the approach to both Minkowski and de Sitter space-times and investigate some examples.

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