English

Renormalization group in super-renormalizable quantum gravity

High Energy Physics - Theory 2018-07-11 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations. We perform such a calculation for the Newton constant by using the Barvinsky-Vilkovisky trace technology. The result is well-defined in a large class of models of gravity in the sense that the renormalization group beta functions do not depend on the gauge-fixing condition. Finally, we discuss the possibility to apply the results to a large class of nonlocal gravitational theories which are free of massive ghost-like states at the tree-level.

Keywords

Cite

@article{arxiv.1704.03988,
  title  = {Renormalization group in super-renormalizable quantum gravity},
  author = {Leonardo Modesto and Leslaw Rachwal and Ilya L. Shapiro},
  journal= {arXiv preprint arXiv:1704.03988},
  year   = {2018}
}

Comments

21 pages, journal version, improved and with two new appendices

R2 v1 2026-06-22T19:16:20.183Z