2019
DOI: 10.1103/physrevd.99.086002
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Zooming in on fermions and quantum gravity

Abstract: We zoom in on the microscopic dynamics for fermions and quantum gravity within the asymptoticsafety paradigm. A key finding of our study is the unavoidable presence of a nonminimal derivative coupling between the curvature and fermion fields in the ultraviolet. Its backreaction on the properties of the Reuter fixed point remains small for finite fermion numbers within a bounded range. This constitutes a nontrivial test of the asymptotic-safety scenario for gravity and fermionic matter, additionally supplemente… Show more

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Cited by 81 publications
(110 citation statements)
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“…In fact, even in a setting with interacting fixed points, such truncations could be reliable. Indeed, in the context of diffeomorphism invariant gravity, there are indications that the asymptotically safe fixed point lies in a near-perturbative regime [87][88][89][90], where higher order operators follow their canonical scaling [91][92][93][94]. For a nongravitational example showing the convergence of a truncation based on canonical power counting for an interacting fixed point, see, e.g., [79].…”
Section: Impact Of Quantum Gravity With a Preferred Frame On Mattermentioning
confidence: 99%
See 1 more Smart Citation
“…In fact, even in a setting with interacting fixed points, such truncations could be reliable. Indeed, in the context of diffeomorphism invariant gravity, there are indications that the asymptotically safe fixed point lies in a near-perturbative regime [87][88][89][90], where higher order operators follow their canonical scaling [91][92][93][94]. For a nongravitational example showing the convergence of a truncation based on canonical power counting for an interacting fixed point, see, e.g., [79].…”
Section: Impact Of Quantum Gravity With a Preferred Frame On Mattermentioning
confidence: 99%
“…Finally, despite the breaking of diffeomorphism invariance due to gauge fixing and regulator, we will assume that all different n-point functions originating from the same term in the effective action Γ k come with the same coupling. Indications that this assumption holds semiquantitatively at an asymptotically safe fixed point has been investigated in a Lorentz invariant setting, e.g., in [87][88][89][90].…”
Section: Acknowledgmentsmentioning
confidence: 99%
“…This would imply a weakly coupled asymptotically safe regime with a very small fixed-point value. It is intriguing that hints for a rather weakly-coupled (in the sense of near-Gaussian scaling behavior) asymptotically safe regime have been found in pure gravity [23,35,100], and in particular with matter [5,48,49]. The latter also might allow a near-perturbative UV completion for the Standard Model [2][3][4]72].…”
Section: Conditions Realizing An Intermediate Scaling Regimementioning
confidence: 99%
“…Starting with the seminal work by Reuter [15], a lot of evidence was collected in favour of this scenario [16][17][18][19][20][21][22][23][24][25][26][27][28][29]. The interplay of quantum gravity and matter was extensively investigated as well [30][31][32][33][34][35][36][37][38].…”
Section: Introductionmentioning
confidence: 99%