English

Scaling solutions for asymptotically free quantum gravity

High Energy Physics - Theory 2023-02-13 v2 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

We compute scaling solutions of functional flow equations for quantum gravity in a general truncation with up to four derivatives of the metric. They connect the asymptotically free ultraviolet fixed point, which is accessible to perturbation theory, to the non-perturbative infrared region. The existence of such scaling solutions is necessary for a renormalizable quantum field theory of gravity. If the proposed scaling solution is confirmed beyond our approximations asymptotic freedom is a viable alternative to asymptotic safety for quantum gravity.

Keywords

Cite

@article{arxiv.2211.05508,
  title  = {Scaling solutions for asymptotically free quantum gravity},
  author = {Saswato Sen and Christof Wetterich and Masatoshi Yamada},
  journal= {arXiv preprint arXiv:2211.05508},
  year   = {2023}
}

Comments

19 pages, 10 figures, version published in JHEP

R2 v1 2026-06-28T05:35:32.574Z