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Vacuum energy and spectral function sum rules

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arxiv hep-th/0612206 v2 pith:SL6A3D63 submitted 2006-12-19 hep-th gr-qchep-ph

Vacuum energy and spectral function sum rules

classification hep-th gr-qchep-ph
keywords energyfunctionrulesspectralvacuumapproachcancellationconditions
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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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