Proper Time Flow Equation for Gravity

Bonanno, A.; Reuter, Martin

doi:10.1088/1126-6708/2005/02/035

Cited by 116 publications

(120 citation statements)

References 54 publications

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“…Progress in the construction of FRG flows in gauge theories has been achieved in . FRG flows in gravity are investigated [142][143][144][145][146][147]. All these formal advances have been successfully used within applications, see reviews [15][16][17][18][19][20][21][22][23].…”

Section: Flowsmentioning

confidence: 99%

Aspects of the functional renormalisation group

2007

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We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A simple equation for the flow of these relations is provided. The setting includes general flows in the presence of composite operators and their relation to standard flows, an important example being N PI quantities. We discuss optimisation and derive a functional optimisation criterion.Applications deal with the interrelation between functional flows and the quantum equations of motion, general Dyson-Schwinger equations. We discuss the combined use of these functional equations as well as outlining the construction of practical renormalisation schemes, also valid in the presence of composite operators. Furthermore, the formalism is used to derive various representations of modified symmetry relations in gauge theories, as well as to discuss gauge-invariant flows. We close with the construction and analysis of truncation schemes in view of practical optimisation.

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Section: Flowsmentioning

confidence: 99%

Aspects of the functional renormalisation group

2007

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“…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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“…It is interesting to see this phenomenon in detail, using for instance the proper-time formulation of the flow equation [14],…”

Section: Quantum Gravity At Astrophysical Distancesmentioning

confidence: 99%

“…where m > 1 is an integer linked to proper-time regulator [14]. The presence of an IR pole is signaling that the Einstein-Hilbert truncation is no longer a consistent approximation to the full flow equation, and most probably a new set of IR-relevant operators is emerging ad k → 0.…”

Section: Quantum Gravity At Astrophysical Distancesmentioning

confidence: 99%

“…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%

See 1 more Smart Citation

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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Proper Time Flow Equation for Gravity

Cited by 116 publications

References 54 publications

Aspects of the functional renormalisation group

Aspects of the functional renormalisation group

Renormalization group flow off(R)gravity

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

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