2017/04/30 by Leonardo Modesto, Leslaw Rachwal, Ilya L. Shapiro · 1 citation
Mathematics · Physics and Astronomy · #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1140/epjc/s10052-018-6035-2
published as Eur. Phys. J. C 78, no. 7, 555 (2018) · 21 pages, journal version, improved and with two new appendices
arxiv created 2018/07/10 · arxiv updated 2018/07/11
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.