Renormalization of higher-derivative quantum gravity

Stelle, K.S.

doi:10.1103/physrevd.16.953

Cited by 2,501 publications

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References 16 publications

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“…1 This theory is important because in four dimensions it is power-counting renormalizable [5] and asymptotically free [6][7][8][9][10]. In spite of these appealing 1 There has been recently some progress on theories that contain more than four, and possibly infinitely many derivatives [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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

2017

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“…It is worth clarifying that the decoupled equations are not the background field equations in the R + f (GB) frame where the Friedmann equation (the 00-field equation) contains third derivatives of the metric. As discussed in [45], the cancellation of fourth order derivatives in the decoupled equations is a necessary condition to have a theory free from massive spin-2 gravitons (ghosts) [24,41,42,44,45]. The condition imposes for us some relations between the parameters that we can use in order to combine R and R1.…”

Section: Higher-order Gravity Models Based On Minimal Setsmentioning

confidence: 99%

“…The first example we consider is where the function is that of the pure GB invariant given by, e.g. [24,41,44,45], (R 2 /6−8R1) . In the first order phase portrait of the coordinate plane (x, v), we find an accelerating attractor with the scale factor a(t) evolving as t p where p = 5.…”

Section: Higher-order Gravity Models Based On Minimal Setsmentioning

confidence: 99%

“…We use some guidance from previous studies [24,41,42,43,44,45] in order to satisfy some conditions for building models with physical degree of freedom. As discussed in these papers, a theory with action R + f (GB) can be re-written as the Einstein-Hilbert action plus a GB-function coupled to a scalar field φ with potential U (φ), i.e.…”

Section: Higher-order Gravity Models Based On Minimal Setsmentioning

confidence: 99%

“…However, other papers claimed that some of the models studied fail solar system tests [16] or at least under some conditions [17], but this has been contested in, for example, [18], and also in [19], where models that pass these tests were discussed. In addition to the phenomenology, it has been argued that the models have theoretical motivations within unification theories of fundamental interactions and within field quantization on curved space-times [23,24]. However, previous studies stressed that the models considered were chosen somewhat randomly due to the large spectrum of possible curvature invariants [4,20] and a systematic approach to these models is highly desirable [21,22].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A minimal set of invariants as a systematic approach to higher order gravity models

Ishak¹,

Moldenhauer²

2009

J. Cosmol. Astropart. Phys.

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Higher-order gravity models have been recently the subject of much attention in the context of cosmic acceleration. These models are derived by adding various curvature invariants to the EinsteinHilbert action. Several studies showed that these models can have late-time self-acceleration and could, in some cases, fit various observational constraints. In view of the infinite spectrum of invariants that could be built from curvature tensors, we propose here a method based on minimal sets of independent invariants as a possible route for a systematic approach to these models. We explore a connection made between theorems on bases in invariants theory in relativity and higher-order cosmological models. A dynamical system analysis is performed and some models with accelerating attractors are discussed. The asymptotic behavior of the models is also studied using analytical calculations.PACS numbers: 98.80.-k, 95.36.+x

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Quantizing gravity and spacetime: Where do we stand ?

Ne’eman

1999

Ann. Phys.

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We review five possible solutions to the riddle posed by Quantum Gravity: (1) Gravity should stay as a classical theory (L. Rosenfeld); (2) Quantum Gravity requires a formalism which will take the human mind (or the intelligent observer) into account, resolving at the same time the riddle of the collapse of the wave function/state vector in Quantum Mechanics in general (Penrose); (3) Perturbative Quantization; (4) Hamiltonian Quantization (Dirac, Ashtekar); (5) String Theory. We also discuss the quantization of spacetime.

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Renormalization of higher-derivative quantum gravity

Cited by 2,501 publications

References 16 publications

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

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

A minimal set of invariants as a systematic approach to higher order gravity models

Quantizing gravity and spacetime: Where do we stand ?

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