Fixed Points of Higher-Derivative Gravity

Codello, Alessandro; Percacci, Roberto

doi:10.1103/physrevlett.97.221301

Cited by 307 publications

(327 citation statements)

References 29 publications

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“…3.1, that the one-loop effective action of higherderivative gravity is independent of the parametrization and gauge choice in d = 4. The expressions for C 1 and D 1 given above are in agreement with the standard results for the beta functions in HDG [9,10,33] (also derived by means of (4.4) in [24,[34][35][36]):…”

Section: Resultssupporting

confidence: 85%

“…These are all the divergences that arise at one loop in d = 4. The method we have used is a one-loop approximation of the single-field approximation of the exact RG equation for gravity, as first derived in [31] for the EH-case and then extended to HDG in [24,[34][35][36], to 3d topologically massive gravity in [40], and beyond the one-loop approximation in [41][42][43][44].…”

Section: Discussionmentioning

confidence: 99%

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Gauges and functional measures in quantum gravity II: higher-derivative gravity

2017

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We compute the one-loop divergences in a higher-derivative theory of gravity including Ricci tensor squared and Ricci scalar squared terms, in addition to the Hilbert and cosmological terms, on an (generally off-shell) Einstein background. We work with a two-parameter family of parametrizations of the graviton field, and a two-parameter family of gauges. We find that there are some choices of gauge or parametrization that reduce the dependence on the remaining parameters. The results are invariant under a recently discovered "duality" that involves the replacement of the densitized metric by a densitized inverse metric as the fundamental quantum variable.

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Section: Resultssupporting

confidence: 85%

Section: Discussionmentioning

confidence: 99%

Gauges and functional measures in quantum gravity II: higher-derivative gravity

2017

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“…17 Furthermore, "tr" denotes a matrix trace in field space running over the tensor indices of the fields on which −D 2 acts. The derivation of the partial differential equation governing the RG flow of f (R)-gravity in Section 7 then requires the knowledge of (some of) the a 2k up to k = 4.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…A framework which naturally lends itself to such an analysis is the functional renormalization group equation (FRGE) for quantum gravity [4]. 1 This equation allows a detailed investigation of the non-perturbative renormalization group (RG) flow of gravitational theories [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22], and has also been used to study the consequences of scale-dependent (running) gravitational coupling constants to black hole physics [23,24], cosmology [25,26,27,28,29], galaxy rotation curves [30,31], and collider signatures of TeV-scale gravity models at the LHC [32,33,34].…”

Section: Introductionmentioning

confidence: 99%

Renormalization group flow off(R)gravity

2008

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We use the functional renormalization group equation for quantum gravity to construct a nonperturbative flow equation for modified gravity theories of the form S = d d x √ gf (R). Based on this equation we show that certain gravitational interactions monomials can be consistently decoupled from the renormalization group (RG) flow and reproduce recent results on the asymptotic safety conjecture. The non-perturbative RG flow of non-local extensions of the Einstein-Hilbert truncation including d d x √ g ln(R) and d d x √ gR −n interactions is investigated in detail. The inclusion of such interactions resolves the infrared singularities plaguing the RG trajectories with positive cosmological constant in previous truncations. In particular, in some R −n -truncations all physical trajectories emanate from a Non-Gaussian (UV) fixed point and are well-defined on all RG scales. The RG flow of the ln(R)-truncation contains an infrared attractor which drives a positive cosmological constant to zero dynamically.1

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“…The gravitational antiscreening behavior is very similar to the running of the non-Abelian gauge coupling in Yang-Mills Theory, but only after the introduction of the effective average action and its functional renormalization group equation for gravity [4] detailed investigations of the scaling behavior of the Newtons's constant have become possible [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The non-perturbative renormalization group equation underlying this approach defines a Wilsonian RG flow on a theory space which consists of all diffeomorphism invariant functionals of the metric g µν .…”

Section: Introductionmentioning

confidence: 99%

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

Bonanno¹

2011

Proceedings of Workshop on Continuum and Lattice Approaches to Quantum Gravity — PoS(CLAQG08)

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In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus antiscreened. This phenomenon has several astrophysical implications. In particular in this article recent works on renormalization group improved cosmologies based upon a renormalization group trajectory of Quantum Einstein Gravity with realistic parameter values will be reviewed. It will be argued that quantum effects can account for the entire entropy of the present Universe in the massless sector and give rise to a phase of inflationary expansion. Moreover, the prediction for the final state of the black hole evaporation, is a Planck size remnant which is formed in an infinite time. Workshop on Continuum and Lattice Approaches to Quantum Gravity

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Fixed Points of Higher-Derivative Gravity

Cited by 307 publications

References 29 publications

Gauges and functional measures in quantum gravity II: higher-derivative gravity

Gauges and functional measures in quantum gravity II: higher-derivative gravity

Renormalization group flow off(R)gravity

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

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