English

Scalar-Tensor gravity with system-dependent potential and its relation with Renormalization Group extended General Relativity

General Relativity and Quantum Cosmology 2015-09-03 v3

Abstract

We show that Renormalization Group extensions of the Einstein-Hilbert action for large scale physics are not, in general, a particular case of standard Scalar-Tensor (ST) gravity. We present a new class of ST actions, in which the potential is not necessarily fixed at the action level, and show that this extended ST theory formally contains the Renormalization Group case. We also propose here a Renormalization Group scale setting identification that is explicitly covariant and valid for arbitrary relativistic fluids.

Keywords

Cite

@article{arxiv.1504.05119,
  title  = {Scalar-Tensor gravity with system-dependent potential and its relation with Renormalization Group extended General Relativity},
  author = {Davi C. Rodrigues and Bertrand Chauvineau and Oliver F. Piattella},
  journal= {arXiv preprint arXiv:1504.05119},
  year   = {2015}
}

Comments

29 pages, 2 figs. v2: small changes in text and ref's. v3: further details on the relation between this work and others on the Renormalization Group. Version to appear in JCAP

R2 v1 2026-06-22T09:19:08.305Z