Further evidence for asymptotic safety of quantum gravity

Falls, Kevin; Litim, Daniel F.; Nikolakopoulos, Konstantinos; Rahmede, Christoph

doi:10.1103/physrevd.93.104022

Cited by 220 publications

(368 citation statements)

References 75 publications

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“…We observe an interesting difference to quantum Einstein gravity, where the gap between the smallest relevant and largest irrelevant eigenvalue is ∆ UV = 5.58 [34,35]. In our case, we find ∆ U V unimod ≈ 4.06, i.e., a significantly reduced gap.…”

Section: Fixed Pointsmentioning

confidence: 43%

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The Renormalization Group flow of unimodular f(R) gravity

Eichhorn

2015

J. High Energ. Phys.

129

101

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Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological constant is not a coupling in the unimodular action, providing a new vantage point from which to address the cosmological constant fine-tuning problem. Here, a quantum theory based on the asymptotic safety scenario is studied, and evidence for an interacting fixed point in unimodular f (R) gravity is found. We study the fixed point and its properties, and also discuss the compatibility of unimodular asymptotic safety with dynamical matter, finding evidence for its compatibility with the matter degrees of freedom of the Standard Model.

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Section: Fixed Pointsmentioning

confidence: 43%

“…Within quantum Einstein gravity, an analogous truncation has been considered in [29][30][31][32][33][34][35].…”

Section: Second Variation Of the Actionmentioning

confidence: 99%

The Renormalization Group flow of unimodular f(R) gravity

Eichhorn

2015

J. High Energ. Phys.

129

101

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“…by trivially adapting the argument below (26), that in the large z regime the perturbation will diverge away from the Gaussian fixed point as t → −∞.…”

Section: Consider First the Quantised Perturbations The Linearised Mmentioning

confidence: 99%

“…However this is also an area where there is little guidance from current experimental observation or other techniques, and therefore one must place particular reliance on a rigorous understanding of the mathematical structure that the exact RG exposes, in so far as this is possible. This is especially so with recent work on "functional truncations" [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Fate of nonpolynomial interactions in scalar field theory

Bridle

Morris

2016

Phys. Rev. D

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We present an exact RG (renormalization group) analysis of O(N )-invariant scalar field theory about the Gaussian fixed point. We prove a series of statements that taken together show that the non-polynomial eigen-perturbations found in the LPA (local potential approximation) at the linearised level, do not lead to new interactions, i.e. enlarge the universality class, neither in the LPA or treated exactly. Non-perturbatively, their RG flow does not emanate from the fixed point. For the equivalent Wilsonian effective action they can be re-expressed in terms of the usual couplings to polynomial interactions, which can furthermore be tuned to be as small as desired for all finite RG time. For the infrared cutoff Legendre effective action, this can also be done for the infrared evolution. We explain why this is nevertheless consistent with the fact that the large field behaviour is fixed by these perturbations.arXiv:1605.06075v3 [hep-th]

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Constant‐Roll Inflation in the Generalized SU(2) Proca Theory

et al. 2022

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The generalized SU(2) Proca theory (GSU2P) is a variant of the well known generalized Proca theory where the vector field belongs to the Lie algebra of the SU(2) group of global transformations under which the action is made invariant. New interesting possibilities arise in this framework because of the existence of new interactions of purely non-Abelian character and new configurations of the vector field resulting in spatial spherical symmetry and the cosmological dynamics being driven by the propagating degrees of freedom. We study the 2D phase space of the system that results when the cosmic triad configuration is employed in the Friedmann-Lemaitre-Robertson-Walker background and find an attractor curve whose attraction basin both covers almost all the allowed region and does not include a Big-Bang singularity. Such an attractor curve corresponds to a primordial inflationary solution that has the following characteristic properties: 1) it is a de Sitter solution whose Hubble parameter is regulated by a generalized version of the SU(2) group coupling constant, 2) it is constant-roll including, as a limiting case, the slow-roll variety, 3) a number of e-folds N > 60 is easily reached, 4) it has a graceful exit into a radiation dominated period powered by the canonical kinetic term of the vector field and the Einstein-Hilbert term. The free parameters of the action are chosen such that the tensor sector of the theory is the same as that of general relativity at least up to second-order perturbations, thereby avoiding the presence of ghost and Laplacian instabilities in the tensor sector as well as making the gravity waves propagate at light speed. This is a proof of concept of the interesting properties that could be found in this scenario when the coupling constants be replaced by general coupling functions and more terms be discovered in the GSU2P.

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Further evidence for asymptotic safety of quantum gravity

Cited by 220 publications

References 75 publications

The Renormalization Group flow of unimodular f(R) gravity

The Renormalization Group flow of unimodular f(R) gravity

Fate of nonpolynomial interactions in scalar field theory

Constant‐Roll Inflation in the Generalized SU(2) Proca Theory

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