Ghost wavefunction renormalization in asymptotically safe quantum gravity

Groh, Kai; Saueressig, Frank

doi:10.1088/1751-8113/43/36/365403

Cited by 88 publications

(81 citation statements)

References 73 publications

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“…with a wave-function renormalization Z c (k), which has first been evaluated in [49,50]. The Einstein-Hilbert term, which depends on the full metric, is given by…”

Section: B Background Field and Fluctuation Fieldmentioning

confidence: 99%

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Matter matters in asymptotically safe quantum gravity

2014

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We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d = 4, 5 and 6 dimensions and within certain approximations find that for a given number of gauge fields there is a maximal number of scalar and fermion degrees of freedom compatible with an interacting fixed point at positive Newton coupling. The bounds impose severe constraints on grand unification with fundamental Higgs scalars. Supersymmetry and universal extra dimensions are also generally disfavored. The standard model and its extensions accommodating right-handed neutrinos, the axion and dark-matter models with a single scalar are compatible with a fixed point.

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“…with a wave-function renormalization Z c (k), which has first been evaluated in [49,50]. The Einstein-Hilbert term, which depends on the full metric, is given by…”

Section: B Background Field and Fluctuation Fieldmentioning

confidence: 99%

“…The anomalous dimensions of the ghosts had been calculated previously in [49], [50]. The running of the graviton two point-function had been calculated in [36], [35], where it was interpreted as running of the cosmological and Newton couplings.…”

Section: No Mattermentioning

confidence: 99%

Matter matters in asymptotically safe quantum gravity

2014

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“…of the ghost sector has been studied in [53][54][55]. In each case a UV fixed point compatible with asymptotic safety has been found.…”

Section: Jhep01(2016)069mentioning

confidence: 99%

Asymptotic safety and the cosmological constant

Falls

2016

J. High Energ. Phys.

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Abstract:We study the non-perturbative renormalisation of quantum gravity in four dimensions. Taking care to disentangle physical degrees of freedom, we observe the topological nature of conformal fluctuations arising from the functional measure. The resulting beta functions possess an asymptotically safe fixed point with a global phase structure leading to classical general relativity for positive, negative or vanishing cosmological constant. If only the conformal fluctuations are quantised we find an asymptotically safe fixed point predicting a vanishing cosmological constant on all scales. At this fixed point we reproduce the critical exponent, ν = 1/3, found in numerical lattice studies by Hamber. Returning to the full theory we find that by setting the cosmological constant to zero the critical exponent agrees with the conformally reduced theory. This suggests the fixed point may be physical while hinting at solution to the cosmological constant problem.

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“…Starting from the seminal work [7] there is now a solid body of evidence supporting the existence and predictivity of this NGFP [8,9,10,11,12,13,14,15,16,17]. The more recent proposal advocated by Hořava [18] suggests that the UV completion of gravity is an action which is anisotropic in the space and time coordinates.…”

Section: Introductionmentioning

confidence: 98%

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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Ghost wavefunction renormalization in asymptotically safe quantum gravity

Cited by 88 publications

References 73 publications

Matter matters in asymptotically safe quantum gravity

Matter matters in asymptotically safe quantum gravity

Asymptotic safety and the cosmological constant

A functional renormalization group equation for foliated spacetimes

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