English

Graviton fluctuations erase the cosmological constant

General Relativity and Quantum Cosmology 2017-09-13 v2 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

Graviton fluctuations induce strong non-perturbative infrared renormalization effects for the cosmological constant. The functional renormalization flow drives a positive cosmological constant towards zero, solving the cosmological constant problem without the need to tune parameters. We propose a simple computation of the graviton contribution to the flow of the effective potential for scalar fields. Within variable gravity we find that the potential increases asymptotically at most quadratically with the scalar field. With effective Planck mass proportional to the scalar field, the solutions of the derived cosmological equations lead to an asymptotically vanishing cosmological "constant" in the infinite future, providing for dynamical dark energy in the present cosmological epoch. Beyond a solution of the cosmological constant problem, our simplified computation also entails a sizeable positive graviton-induced anomalous dimension for the quartic Higgs coupling in the ultraviolet regime, substantiating the successful prediction of the Higgs boson mass within the asymptotic safety scenario for quantum gravity.

Keywords

Cite

@article{arxiv.1704.08040,
  title  = {Graviton fluctuations erase the cosmological constant},
  author = {C. Wetterich},
  journal= {arXiv preprint arXiv:1704.08040},
  year   = {2017}
}

Comments

extended discussion, new references, 14 pages, 2 figures

R2 v1 2026-06-22T19:28:15.527Z