We study the conformally reduced R+R2 theory of gravity and we show that the theory is asymptotically safe with an ultraviolet critical manifold of dimension three. In particular, we discuss the universality properties of the fixed point and its stability under the use of different regulators with the help of the proper-time flow equation. We find three relevant directions, corresponding to the g, gR, and gR2 operators, whose critical properties are very similar to the ones shared by the full theory. Our result shows that the basic mechanism at the core of the asymptotic safety program is still well described by the conformal sector also beyond the Einstein-Hilbert truncation. Possible consequences for the asymptotic safety program are discussed.

Ultraviolet behavior of conformally reduced quadratic gravity

Cacciatori S.
2023-01-01

Abstract

We study the conformally reduced R+R2 theory of gravity and we show that the theory is asymptotically safe with an ultraviolet critical manifold of dimension three. In particular, we discuss the universality properties of the fixed point and its stability under the use of different regulators with the help of the proper-time flow equation. We find three relevant directions, corresponding to the g, gR, and gR2 operators, whose critical properties are very similar to the ones shared by the full theory. Our result shows that the basic mechanism at the core of the asymptotic safety program is still well described by the conformal sector also beyond the Einstein-Hilbert truncation. Possible consequences for the asymptotic safety program are discussed.
2023
2023
https://journals.aps.org/prd/pdf/10.1103/PhysRevD.108.026008
Bonanno, A.; Conti, M.; Cacciatori, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2158511
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