Vacuum energy and spectral function sum rules

Abstract

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.

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

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Cited by in corpus (11)

• Special Relativity in the 21${}^{\mathrm{st}}$ century
• Lorentz invariance and the zero-point stress-energy tensor
• Vacuum fluctuations in a supersymmetric model in FRW spacetime
• Bianchi-I cosmological model and crossing singularities
• Pauli-Zeldovich cancellation of the vacuum energy divergences, auxiliary fields and supersymmetry
• Mirror QCD and Cosmological Constant
• Dynamics of the quantum vacuum: Cosmology as relaxation to the equilibrium state
• Comment about the vanishing of the vacuum energy in the Wess-Zumino model
• The Pauli sum rules imply BSM physics
• On spectrum of vacuum energy
• Beyond the standard model with sum rules