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The asymptotic safety program strives for a consistent description of gravity as a non-perturbatively renormalizable quantum field theory. In this framework the gravitational interactions are encoded in a renormalization group flow…

广义相对论与量子宇宙学 · 物理学 2019-01-08 Frank Saueressig , Giulia Gubitosi , Chris Ripken

The asymptotic safety scenario in quantum gravity is reviewed, according to which a renormalizable quantum theory of the gravitational field is feasible which reconciles asymptotically safe couplings with unitarity. All presently known…

广义相对论与量子宇宙学 · 物理学 2010-11-02 M. Niedermaier

Asymptotic Safety, based on a non-Gaussian fixed point of the gravitational renormalization group flow, provides an elegant mechanism for completing the gravitational force at sub-Planckian scales. At high energies the fixed point controls…

高能物理 - 理论 · 物理学 2017-06-28 Alfio Bonanno , Frank Saueressig

We study quantum gravity corrections to early universe cosmology as resulting within the asymptotic safety scenario. We analyse if it is possible to obtain accelerated expansion in the regime of the renormalisation group fixed point in a…

广义相对论与量子宇宙学 · 物理学 2013-01-24 Christoph Rahmede

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity…

高能物理 - 理论 · 物理学 2019-02-22 Astrid Eichhorn

Using the Einstein-Hilbert approximation of asymptotically safe quantum gravity we present a consistent renormalization group based framework for the inclusion of quantum gravitational effects into the cosmological field equations. Relating…

高能物理 - 理论 · 物理学 2009-11-11 M. Reuter , F. Saueressig

We compute non-perturbative flow equations for the couplings of quantum gravity in fourth order of a derivative expansion. The gauge invariant functional flow equation for arbitrary metrics allows us to extract $\beta$-functions for all…

高能物理 - 理论 · 物理学 2022-03-24 Saswato Sen , Christof Wetterich , Masatoshi Yamada

In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability…

广义相对论与量子宇宙学 · 物理学 2018-08-01 Astrid Eichhorn

We study asymptotically safe gravity with Einstein-Hilbert truncation taking into account the renormalization group running of both gravitational and cosmological constants. We show the classical behavior of the theory is equivalent to a…

高能物理 - 理论 · 物理学 2011-11-03 Yi-Fu Cai , Damien A. Easson

When general relativity is augmented by quadratic gravity terms, it becomes a renormalisable theory of gravity. This theory may admit a non-Gaussian fixed point as envisaged in the asymptotic safety program, rendering the theory trustworthy…

高能物理 - 理论 · 物理学 2019-11-06 Jean-Luc Lehners , K. S. Stelle

We investigate the compatibility of cosmological constraints on inflation and the cosmological constant with the asymptotic safety scenario of quantum gravity. The effective action is taken to be of $f(R)$ form, truncated to second order.…

高能物理 - 理论 · 物理学 2018-12-27 Giulia Gubitosi , Robin Ooijer , Chris Ripken , Frank Saueressig

Asymptotic Safety provides a mechanism for constructing a consistent and predictive quantum theory of gravity valid on all length scales. Its key ingredient is a non-Gaussian fixed point of the gravitational renormalization group flow which…

高能物理 - 理论 · 物理学 2017-04-26 Jorn Biemans , Alessia Platania , Frank Saueressig

The asymptotic safety scenario of Quantum Einstein Gravity, the quantum field theory of the spacetime metric, is reviewed and it is argued that the theory is likely to be nonperturbatively renormalizable. It is also shown that asymptotic…

高能物理 - 理论 · 物理学 2007-05-23 O. Lauscher , M. Reuter

The very early universe provides the best arena we currently have to test quantum gravity theories. The success of the inflationary paradigm in accounting for the observed inhomogeneities in the cosmic microwave background already…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Abhay Ashtekar

We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the…

高能物理 - 理论 · 物理学 2010-04-06 E. Elizalde , S. D. Odintsov , I. L. Shapiro

General non-singular accelerating cosmological solutions for an initial cosmic period of pure vacuum birth era are derived. This vacuum era is described by a varying cosmological "constant" suggested by the Renormalisation Group flow of…

广义相对论与量子宇宙学 · 物理学 2016-11-23 Georgios Kofinas , Vasilios Zarikas

We comment on Weinberg's interesting analysis of asymptotically safe inflation (arXiv:0911.3165). We find that even if the gravity theory exhibits an ultraviolet fixed point, the energy scale during inflation is way too low to drive the…

高能物理 - 理论 · 物理学 2011-01-06 S. -H. Henry Tye , Jiajun Xu

Asymptotically safe quantum gravity is a candidate theory to quantum gravity, which could unify the gravitational interaction with particle physics. It is characterized by quantum scale-symmetry at high energies. The constraining power of…

广义相对论与量子宇宙学 · 物理学 2025-10-01 Marc Schiffer

The methods of the renormalization group and the $\varepsilon$-expansion are applied to quantum gravity revealing the existence of an asymptotically safe fixed point in spacetime dimensions higher than two. To facilitate this, physical…

高能物理 - 理论 · 物理学 2018-01-04 Kevin Falls

Asymptotically Safe theories of gravity have recently received much attention. In this work we discuss a class of inflationary models derived from quantum-gravity modification of quadratic gravity according to the induced scaling around the…

广义相对论与量子宇宙学 · 物理学 2015-10-14 Alfio Bonanno , Alessia Platania
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