English

Exact RG Flow Equations and Quantum Gravity

High Energy Physics - Theory 2018-04-18 v5 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

We discuss the different forms of the functional RG equation and their relation to each other. In particular we suggest a generalized background field version that is close in spirit to the Polchinski equation as an alternative to the Wetterich equation to study Weinberg's asymptotic safety program for defining quantum gravity, and argue that the former is better suited for this purpose. Using the heat kernel expansion and proper time regularization we find evidence in support of this program in agreement with previous work.

Keywords

Cite

@article{arxiv.1707.09298,
  title  = {Exact RG Flow Equations and Quantum Gravity},
  author = {S. P. de Alwis},
  journal= {arXiv preprint arXiv:1707.09298},
  year   = {2018}
}

Comments

Typos corrected, version to be published in JHEP, 23 pages

R2 v1 2026-06-22T21:00:21.570Z