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相关论文: Asymptotically Safe Hilbert-Palatini Gravity in an…

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Motivated by the conjecture that the cosmological constant problem is solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a class of…

高能物理 - 理论 · 物理学 2009-11-10 M. Reuter , F. Saueressig

Asymptotic safety is a set of conditions, based on the existence of a nontrivial fixed point for the renormalization group flow, which would make a quantum field theory consistent up to arbitrarily high energies. After introducing the basic…

高能物理 - 理论 · 物理学 2008-11-18 R. Percacci

We revisit Starobinsky inflation in a quantum gravitational context, by means of the exact Renormalisation Group (RG). We calculate the non-perturbative beta functions for Newton's `constant' G and the dimensionless R^2 coupling, and show…

广义相对论与量子宇宙学 · 物理学 2017-03-15 Edmund J. Copeland , Christoph Rahmede , Ippocratis D. Saltas

We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a…

高能物理 - 理论 · 物理学 2017-08-23 Jorn Biemans , Alessia Platania , Frank Saueressig

Asymptotic safety is an attractive scenario for the dynamics of quantum spacetime. Here, we work from a phenomenologically motivated point of view and emphasize that a viable dynamics for quantum gravity in our universe must account for the…

广义相对论与量子宇宙学 · 物理学 2016-05-12 Pietro Donà , Astrid Eichhorn , Peter Labus , Roberto Percacci

We give a detailed account of the cyclic $L_\infty$-algebra formulation of general relativity with cosmological constant in the Einstein-Cartan-Palatini formalism on spacetimes of arbitrary dimension and signature, which encompasses all…

高能物理 - 理论 · 物理学 2020-12-02 Marija Dimitrijević Ćirić , Grigorios Giotopoulos , Voja Radovanović , Richard J. Szabo

We show that perturbative quantum gravity based on the Einstein-Hilbert action, has a novel continuum limit. The renormalized trajectory emanates from the Gaussian fixed point along (marginally) relevant directions but enters the…

高能物理 - 理论 · 物理学 2021-06-09 Matthew Kellett , Alex Mitchell , Tim R. Morris

We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out…

高能物理 - 理论 · 物理学 2017-08-22 Yuta Hamada , Masatoshi Yamada

Recently Horava proposed a renormalizable gravity theory with higher derivatives by abandoning the Lorenz invariance in UV. Here, I study the Horava model at $\lambda=1/3$, where an anisotropic Weyl symmetry exists in the UV limit, in…

高能物理 - 理论 · 物理学 2015-05-14 Mu-in Park

Asymptotic Safety implies that observables including scattering amplitudes remain finite at the highest energy scales. Traditionally, this feature is connected to an interacting fixed point of the Wilsonian renormalization group that…

高能物理 - 理论 · 物理学 2022-10-31 Benjamin Knorr , Chris Ripken , Frank Saueressig

If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet fixed point in a way that makes the theory effectively two-dimensional. A number of independent lines of evidence, based on different approaches…

广义相对论与量子宇宙学 · 物理学 2019-04-10 S. Carlip

In a previous paper we presented the renormalization of Einstein-Hilbert gravity under inclusion of higher derivative terms and proposed a projection down to the physical state space of Einstein-Hilbert. In the present paper we describe…

高能物理 - 理论 · 物理学 2024-04-19 Steffen Pottel , Klaus Sibold

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

Building a consistent Quantum Theory of Gravity is one of the most challenging aspects of modern theoretical physics. In the past couple of years, new attempts have been made along the path of ``asymptotic safety'' through the use of Exact…

高能物理 - 理论 · 物理学 2009-11-10 Daniele Perini

We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has three ultraviolet-attractive and four…

高能物理 - 理论 · 物理学 2008-11-26 Alessandro Codello , Roberto Percacci , Christoph Rahmede

We propose a novel theory of gravity that by construction is renormalizable, evades Ostragadsky's no-go theorem, is locally scale-invariant in the high-energy limit, and equivalent to general relativity in the low-energy limit. The theory…

广义相对论与量子宇宙学 · 物理学 2020-07-13 Daniel Coumbe

Other than the commonly used Wilson's regularization of quantum field theories (QFTs), there is a growing interest in regularizations that explore lattice models with a strictly finite local Hilbert space, in anticipation of the upcoming…

高能物理 - 格点 · 物理学 2024-01-19 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina Krstic Marinkovic

We recalculate the beta functions of higher derivative gravity in four dimensions using the one--loop approximation to an Exact Renormalization Group Equation. We reproduce the beta functions of the dimensionless couplings that were known…

高能物理 - 理论 · 物理学 2008-11-26 A. Codello , R. Percacci

A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially…

高能物理 - 理论 · 物理学 2020-02-06 J. Ambjorn , J. Gizbert-Studnicki , A. Goerlich , J. Jurkiewicz , R. Loll

Asymptotic Safety (AS) Program for quantum gravity keeps the same fields and symmetries with General Relativity and studies the associated gravitational action as a fundamental part of the complete theory at the nonperturbative level with…

广义相对论与量子宇宙学 · 物理学 2020-06-17 Vasilios Zarikas , Georgios Kofinas