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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity

Yadikaer Maitiniyazi1,*, Christof Wetterich2,†, and Masatoshi Yamada3,‡

  • *Contact author: ydqem22@mails.jlu.edu.cn
  • †Contact author: c.wetterich@thphys.uni-heidelberg.de
  • ‡Contact author: m.yamada@kwansei.ac.jp
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Phys. Rev. D 113, 106023 – Published 21 May, 2026

DOI: https://doi.org/10.1103/942j-d8ys

Abstract

We discuss the ultraviolet fixed point of asymptotically safe dilaton quantum gravity. It differs from the Reuter fixed point by the dependence of the Planck mass on a scalar field. The gauge invariant functional flow equation in the most general approximation with up to two derivatives strengthens the argument for the existence of this fixed point. The quantum effective action obtained from the scaling solution for dilaton quantum gravity can describe inflation for early cosmology and dynamical dark energy for late cosmology.

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Phys. Rev. D 113, 106023– Published 21 May, 2026
  • Received 9 March 2026
  • Accepted 27 April 2026
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