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We show that cosmological acceleration, Dark Energy (DE) effect is aconsequence of the zero rest mass, conformal non-invariance of gravitons, and1-loop finiteness of quantum gravity (QG). The effect is due to graviton-ghostcondensates arising from the interference of quantum coherent states. Thetheory is constructed as follows: Faddeev-Popov-De Witt gauged path integral ->factorization of classical and quantum variables -> transition to the 1-loopapproximation -> choice of ghost sector, satisfying 1-loop finiteness of thetheory off the mass shell. The Bogolyubov-Born-Green-Kirckwood-Yvon (BBGKY)chain for the spectral function of gravitons renormalized by ghosts is used tobuild a theory of gravitons in the isotropic Universe. We found three exactsolutions of the equations that describe virtual graviton and ghost condensatesas well as condensates of instanton fluctuations. Exact solutions correspond tovarious condensates with different graviton-ghost compositions. The formalismof the BBGKY chain takes into account the contribution of non-relativisticmatter in the formation of a common self-consistent gravitational field. It isshown that the era of non-relativistic matter dominance must be replaced by anera of dominance of graviton-ghost condensate. Pre-asymptotic state of DE is acondensate of virtual gravitons and ghosts with a constant conformalwavelength. The asymptotic state predicted by the theory is a graviton-ghostcondensate of constant physical wavelength in the De Sitter space. Such DEphenomenon is presented in the form of the model that interpolates the exactsolutions of equations of 1-loop QG. Processing of observational DE dataextracted from the Hubble diagram for supernovae SNIa suggests that thegraviton-ghost condensate is an adequate variable component of DE.

Graviton, ghost and instanton condensation on horizon scale of the Universe. Dark energy as a macroscopic effect of quantum gravity