Renormalization group flow of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity

Machado, Pedro F.; Saueressig, Frank

doi:10.1103/physrevd.77.124045

Cited by 249 publications

(334 citation statements)

References 76 publications

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“…2 has survived substantial generalizations of the truncation ansatz for the average action. Furthermore, clear evidence for a small, finite dimensionality of S UV was found, first in 2 + ε dimensions [12] and then by an impressively complex calculation in d = 4 also [24,25]. Besides its successes in describing gravity at high energies, QEG also recovers classical general relativity at low energies.…”

Section: The Einstein-hilbert Truncationmentioning

confidence: 87%

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Asymptotic Safety, Fractals, and Cosmology

Reuter

Saueressig

2013

Quantum Gravity and Quantum Cosmology

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Section: The Einstein-hilbert Truncationmentioning

confidence: 87%

“…Let us now hypothesize that, within a certain range of k-values, the RG trajectory realized in Nature can be approximated by (24). In order to determine its parameters …”

Section: The Einstein-hilbert Truncationmentioning

confidence: 99%

Asymptotic Safety, Fractals, and Cosmology

Reuter

Saueressig

2013

Quantum Gravity and Quantum Cosmology

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“…In [380] it was pointed out that some models would be incompatible with the existence of relativistic stars, this issue is inverstigated in [381][382][383][384][385][386][387][388]. For some investigations into the quantum properties of these theories, see [389][390][391].…”

Section: Example: F (R) Gravitymentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

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After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.We begin by reviewing recent attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must "screen" themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives of the field become important, and those for which second derivatives of the field are important. Examples of the first class, such as f (R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories and discuss prospects for completion in a more fundamental theory. We describe experimental tests of each class of theories, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. Finally, we discuss prospects for future tests which will be sensitive to different signatures of new physics in the gravitational sector.The review is structured so that those parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.

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“…Thus the normalized TT decomposition (4.14) does not require the introduction of auxiliary fields exponentiating the Jacobi determinants naturally appearing in this type of field redefinitions as, e.g., implemented in [52].…”

Section: Constructing the Functional Tracesmentioning

confidence: 99%

A functional renormalization group equation for foliated spacetimes

Rechenberger

Saueressig

2013

J. High Energ. Phys.

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We derive an exact functional renormalization group equation for the projectable version of Hořava-Lifshitz gravity. The flow equation encodes the gravitational degrees of freedom in terms of the lapse function, shift vector and spatial metric and is manifestly invariant under background foliation-preserving diffeomorphisms. Its relation to similar flow equations for gravity in the metric formalism is discussed in detail, and we argue that the space of action functionals, invariant under the full diffeomorphism group, forms a subspace of the latter invariant under renormalization group transformations. As a first application we study the RG flow of the Newton constant and the cosmological constant in the ADM formalism. In particular we show that the non-Gaussian fixed point found in the metric formulation is qualitatively unaffected by the change of variables and persists also for Lorentzian signature metrics.

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Renormalization group flow off(R)gravity

Cited by 249 publications

References 76 publications

Asymptotic Safety, Fractals, and Cosmology

Asymptotic Safety, Fractals, and Cosmology

Beyond the cosmological standard model

A functional renormalization group equation for foliated spacetimes

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