Renormalizability and Newtonian potential in scale-invariant gravity

Abstract

There is a conjecture that renormalizable higher-derivative gravity has a finite classical potential at the origin. In this work we show clearly that the scale-invariant gravity (SIG) satisfies the conjecture. This gravity produces the better-behaved $1/k^4$ UV behavior as needed for renormalizability. It turns out that the SIG has the linear classical potential of $V\propto r$ and it is a UV complete theory.

9 pages, no figures, version to appear in IJMPD

References in corpus (4)

• On the cancellation of Newtonian singularities in higher-derivative gravity
• The Gauss-Bonnet Coupling Constant in Classically Scale-Invariant Gravity
• Renormalizability in $D$-dimensional higher-order gravity
• Renormalizability, vDVZ discontinuity and Newtonian singularity in higher-derivative gravity

Cited by in corpus (2)

• Selected topics in scalar-tensor theories and beyond
• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications