Dilaton quantum gravity

Henz, Tobias; Pawlowski, Jan M.; Rodigast, Andreas; Wetterich, C.

doi:10.1016/j.physletb.2013.10.015

Cited by 81 publications

(86 citation statements)

References 23 publications

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“…The conformal invariant action analyzed in our paper (CDG) has been argued [23,24] to be related to the ultraviolet fixed point of the exact renormalization group equations (ERGE). The general action they considered was…”

Section: Discussionmentioning

confidence: 95%

Conformal and non conformal dilaton gravity

Álvarez

Herrero-Valea

Martı́n

2014

J. High Energ. Phys.

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The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the broken phase. For a particular value of the coupling the system is classically conformal, and can actually be understood as the group averaging of Einstein-Hilbert's action under conformal transformations. Conformal invariance implies a simple Ward identity asserting that the trace of the equation of motion for the graviton is the equation of motion of the scalar field. We perform an explicit oneloop computation to show that the DeWitt effective action is not UV divergent on shell and to find that the Weyl symmetry Ward identity is preserved on shell at that level. We also discuss the fate of this Ward identity at the two-loop level -under the assumption that the two-loop UV divergent part of the effective action can be retrieved from the Goroff-Sagnotti counterterm -and show that its preservation in the renormalized theory requires the introduction of counterterms which exhibit a logarithmic dependence on the dilaton field.

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Section: Discussionmentioning

confidence: 95%

Conformal and non conformal dilaton gravity

Álvarez

Herrero-Valea

Martı́n

2014

J. High Energ. Phys.

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“…There are several good reasons to study such actions. On one hand they may have direct applications to cosmology [16]. At the classical level, they are related via some field redefinitions to the f (R) class of actions.…”

Section: Introductionmentioning

confidence: 99%

Search of scaling solutions in scalar–tensor gravity

2015

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We write new functional renormalization group equations for a scalar nonminimally coupled to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are simpler than older equations and avoid some of the difficulties that were previously present. In three dimensions these equations admit, at least for sufficiently small fields, a solution that may be interpreted as a gravitationally dressed Wilson-Fisher fixed point. We also find for any dimension d > 2 additional analytic scaling solutions which we study for d = 3 and d = 4. One of them corresponds to the fixed point of the Einstein-Hilbert truncation, the others involve a nonvanishing minimal coupling.

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“…In a complementary approach, the fixed point structure arising within scalar-tensor theory has been studied in [24][25][26][27][28][29][30][31]. 1 This setup includes two arbitrary functions of the scalar field φ, a scale-dependent scalar potential V k (φ) and a function F k (φ) encoding the…”

Section: Jhep12(2017)121mentioning

confidence: 99%

On avoiding Ostrogradski instabilities within Asymptotic Safety

Becker

Ripken

Saueressig

2017

J. High Energ. Phys.

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We study the renormalization group flow of gravity coupled to scalar matter using functional renormalization group techniques. The novel feature is the inclusion of higher-derivative terms in the scalar propagator. Such terms give rise to Ostrogradski ghosts which signal an instability of the system and are therefore dangerous for the consistency of the theory. Since it is expected that such terms are generated dynamically by the renormalization group flow they provide a potential threat when constructing a theory of quantum gravity based on Asymptotic Safety. Our work then establishes the following picture: upon incorporating higher-derivative terms in the scalar propagator the flow of the gravity-matter system possesses a fixed point structure suitable for Asymptotic Safety. This structure includes an interacting renormalization group fixed point where the Ostrogradski ghosts acquire an infinite mass and decouple from the system. Tracing the flow towards the infrared it is found that there is a subset of complete renormalization group trajectories which lead to stable renormalized propagators. This subset is in one-to-one correspondence to the complete renormalization group trajectories obtained in computations which do not keep track of the higher-derivative terms. Thus our asymptotically safe gravity-matter systems are not haunted by Ostrogradski ghosts.

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Dilaton quantum gravity

Cited by 81 publications

References 23 publications

Conformal and non conformal dilaton gravity

Conformal and non conformal dilaton gravity

Search of scaling solutions in scalar–tensor gravity

On avoiding Ostrogradski instabilities within Asymptotic Safety

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