ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY

By A. Codello, Roberto Percacci, Christoph Rahmede. 2007

258 citations recorded by the source corpus.

We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has three ultraviolet-attractive and four ultraviolet-repulsive directions; this brings further support to the hypothesis that gravity is nonperturbatively renormalizable.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5bc052a7d2079fd3467e70551705a8b2f45d38f4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. A. Eichhorn
2. L. Canet
3. Juergen A. Dietz
4. W. Metzner
5. N. Dupuis
6. Jan M. Pawlowski
7. T. Morris
8. M. Tissier

In Nuclear and High Energy Physics

1. A. Eichhorn
2. W. Metzner
3. M. Tissier
4. N. Dupuis
5. N. Wschebor
6. L. Canet
7. Jan M. Pawlowski
8. Juergen A. Dietz

In Statistical and Nonlinear Physics

1. L. Canet
2. A. Eichhorn
3. Juergen A. Dietz
4. W. Metzner
5. N. Dupuis
6. Jan M. Pawlowski
7. T. Morris
8. M. Tissier

Citations in the corpus

• Asymptotic safety in the f(R) approximation (2012, methodology): “h means that the Heaviside functions are all set to one. Unphysical modes are isolated dierently. The authors rst consider a way of accounting for these excluded modes which amounts to setting = 0 [32]. Then for a dierent way of isolating modes, they supply results for two ways of implementing the ”
• Nonperturbative properties of Yang–Mills theories (2018, unknown): “, [108–119], Higgs physics, e.”
• The nonperturbative functional renormalization group and its applications (2020, background): “Extensions to higher orders in Rn can be found in [1082, 1094, 1098, 1103–1106, 1162–1167], and inclusions of Ricci tensor invariants and Riemann tensor invariants in [1107, 1111, 1112, 1168].”